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Automorphisms in Birational and Affine Geometry - Levico Terme, Italy, October 2012 (Hardcover, 2014 ed.): Ivan Cheltsov, Ciro... Automorphisms in Birational and Affine Geometry - Levico Terme, Italy, October 2012 (Hardcover, 2014 ed.)
Ivan Cheltsov, Ciro Ciliberto, Hubert Flenner, James McKernan, Yuri G. Prokhorov, …
R4,353 R3,948 Discovery Miles 39 480 Save R405 (9%) Ships in 10 - 15 working days

The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics. Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference "Groups of Automorphisms in Birational and Affine Geometry" held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.

Foliation Theory in Algebraic Geometry (Hardcover, 1st ed. 2016): Paolo Cascini, James McKernan, Jorge Vitorio Pereira Foliation Theory in Algebraic Geometry (Hardcover, 1st ed. 2016)
Paolo Cascini, James McKernan, Jorge Vitorio Pereira
R3,508 R3,274 Discovery Miles 32 740 Save R234 (7%) Ships in 10 - 15 working days

Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study.

A Celebration of Algebraic Geometry (Paperback): Brendan Hassett, James McKernan, Jason Starr, Ravi Vakil A Celebration of Algebraic Geometry (Paperback)
Brendan Hassett, James McKernan, Jason Starr, Ravi Vakil
R4,155 R3,584 Discovery Miles 35 840 Save R571 (14%) Ships in 10 - 15 working days

This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honour of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkahler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry.

Foliation Theory in Algebraic Geometry (Paperback, Softcover reprint of the original 1st ed. 2016): Paolo Cascini, James... Foliation Theory in Algebraic Geometry (Paperback, Softcover reprint of the original 1st ed. 2016)
Paolo Cascini, James McKernan, Jorge Vitorio Pereira
R4,370 Discovery Miles 43 700 Ships in 7 - 11 working days

Featuring a blend of original research papers and comprehensive surveys from an international team of leading researchers in the thriving fields of foliation theory, holomorphic foliations, and birational geometry, this book presents the proceedings of the conference "Foliation Theory in Algebraic Geometry," hosted by the Simons Foundation in New York City in September 2013. Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on singular varieties; an overview of the powerful theory of the variety of minimal rational tangents introduced by Hwang and Mok; recent examples of varieties which are hyperbolic and yet the Green-Griffiths locus is the whole of X; and a classification of psuedoeffective codimension one distributions. Foliations play a fundamental role in algebraic geometry, for example in the proof of abundance for threefolds and to a solution of the Green-Griffiths conjecture for surfaces of general type with positive Segre class. The purpose of this volume is to foster communication and enable interactions between experts who work on holomorphic foliations and birational geometry, and to bring together leading researchers to demonstrate the powerful connection of ideas, methods, and goals shared by these two areas of study.

Current Developments in Algebraic Geometry (Paperback): Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa Current Developments in Algebraic Geometry (Paperback)
Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa
R1,250 Discovery Miles 12 500 Ships in 7 - 11 working days

Algebraic geometry is one of the most diverse fields of research in mathematics. It has had an incredible evolution over the past century, with new subfields constantly branching off and spectacular progress in certain directions, and at the same time, with many fundamental unsolved problems still to be tackled. In the spring of 2009 the first main workshop of the MSRI algebraic geometry program served as an introductory panorama of current progress in the field, addressed to both beginners and experts. This volume reflects that spirit, offering expository overviews of the state of the art in many areas of algebraic geometry. Prerequisites are kept to a minimum, making the book accessible to a broad range of mathematicians. Many chapters present approaches to long-standing open problems by means of modern techniques currently under development and contain questions and conjectures to help spur future research.

Current Developments in Algebraic Geometry (Hardcover, New): Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa Current Developments in Algebraic Geometry (Hardcover, New)
Lucia Caporaso, James McKernan, Mircea Mustata, Mihnea Popa
R3,221 Discovery Miles 32 210 Ships in 7 - 11 working days

Algebraic geometry is one of the most diverse fields of research in mathematics. It has had an incredible evolution over the past century, with new subfields constantly branching off and spectacular progress in certain directions, and at the same time, with many fundamental unsolved problems still to be tackled. In the spring of 2009 the first main workshop of the MSRI algebraic geometry program served as an introductory panorama of current progress in the field, addressed to both beginners and experts. This volume reflects that spirit, offering expository overviews of the state of the art in many areas of algebraic geometry. Prerequisites are kept to a minimum, making the book accessible to a broad range of mathematicians. Many chapters present approaches to long-standing open problems by means of modern techniques currently under development and contain questions and conjectures to help spur future research.

Automorphisms in Birational and Affine Geometry - Levico Terme, Italy, October 2012 (Paperback, Softcover reprint of the... Automorphisms in Birational and Affine Geometry - Levico Terme, Italy, October 2012 (Paperback, Softcover reprint of the original 1st ed. 2014)
Ivan Cheltsov, Ciro Ciliberto, Hubert Flenner, James McKernan, Yuri G. Prokhorov, …
R4,748 Discovery Miles 47 480 Out of stock

The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics. Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference "Groups of Automorphisms in Birational and Affine Geometry" held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.

Curriculum and Imagination - Process Theory, Pedagogy and Action Research (Hardcover, New): James McKernan Curriculum and Imagination - Process Theory, Pedagogy and Action Research (Hardcover, New)
James McKernan
R3,005 R2,614 Discovery Miles 26 140 Save R391 (13%) Out of stock

Curriculum and Imagination describes an alternative 'process' model for designing developing, implementing and evaluating curriculum, suggesting that curriculum may be designed by specifying an educational process which contains key principles of procedure.

This comprehensive and authoritative book:

  • offers a practical and theoretical plan for curriculum-making without objectives
  • shows that a curriculum can be best planned and developed at school level by teachers adopting an action research role
  • complements the spirit and reality of much of the teaching profession today, embracing the fact that there is a degree of intuition and critical judgement in the work of educators
  • presents empirical evidence on teachers' human values.

Curriculum and Imagination provides a rational and logical alternative for all educators who plan curriculum but do not wish to be held captive by a mechanistic 'ends-means' notion of educational planning. Anyone studying or teaching curriculum studies, or involved in education or educational planning, will find this important new book fascinating reading.

Curriculum and Imagination - Process Theory, Pedagogy and Action Research (Paperback): James McKernan Curriculum and Imagination - Process Theory, Pedagogy and Action Research (Paperback)
James McKernan
R850 R765 Discovery Miles 7 650 Save R85 (10%) Out of stock

Curriculum and Imagination describes an alternative 'process' model for designing developing, implementing and evaluating curriculum, suggesting that curriculum may be designed by specifying an educational process which contains key principles of procedure.

This comprehensive and authoritative book:

  • offers a practical and theoretical plan for curriculum-making without objectives
  • shows that a curriculum can be best planned and developed at school level by teachers adopting an action research role
  • complements the spirit and reality of much of the teaching profession today, embracing the fact that there is a degree of intuition and critical judgement in the work of educators
  • presents empirical evidence on teachers' human values.

Curriculum and Imagination provides a rational and logical alternative for all educators who plan curriculum but do not wish to be held captive by a mechanistic 'ends-means' notion of educational planning. Anyone studying or teaching curriculum studies, or involved in education or educational planning, will find this important new book fascinating reading.

Rational Curves on Quasi-projective Surfaces (Paperback): Sean Keel, James McKernan Rational Curves on Quasi-projective Surfaces (Paperback)
Sean Keel, James McKernan
R1,708 Discovery Miles 17 080 Out of stock

This book is intended for graduate students and research mathematicians working in algebraic geometry

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