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      • [PDF] Current Developments in Algebraic Geometry Free Download by James McKernan , Lucia Caporaso , Mihnea Popa , Mircea Mustata | Publisher : Cambridge University Press | Category : Science | Tags : Algebraic, Mathematics, Spring, Theory, Rational | ISBN-10 : 052176825X | ISBN-13 : 9780521768252
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      • Current Developments in Algebraic Geometry by James McKernan , Lucia Caporaso , Mihnea Popa , Mircea Mustata, Publisher : Cambridge University Press
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      • 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.

        Table of Contents

        Chapter 1. Fibers of projections and submodules of deformations
        Chapter 2. Introduction to birational anabelian geometry
        Chapter 3. Periods and moduli
        Chapter 4. The Hodge theory of character varieties
        Chapter 5. Rigidity properties of Fano varieties
        Chapter 6. The Schottky problem
        Chapter 7. Interpolation
        Chapter 8. Chow groups and derived categories of K3 surfaces
        Chapter 9. Geometry of varieties of minimal rational tangents
        Chapter 10. Quotients by nite equivalence relations
        Chapter 11. Higher-dimensional analogues of K3 surfaces
        Chapter 12. Compacti cations of moduli of abelian varieties: an introduction
        Chapter 13. The geography of irregular surfaces
        Chapter 14. Basic results on irregular varieties via Fourier-Mukai methods
        Chapter 15. Algebraic surfaces and hyperbolic geometry

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    • Book Details
      • Book Name : Current Developments in Algebraic Geometry

        Edition : 1

        Author : James McKernan , Lucia Caporaso , Mihnea Popa , Mircea Mustata

        Publisher : Cambridge University Press

        Category : Science

        ISBN-10 : 052176825X

        ISBN-13 : 9780521768252

        ASIN : 052176825X

        Pages : 438

        Language : English

        Publish Date : March 19, 2012
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