Description

Book Synopsis
Contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held in May 2016 at the University of Illinois. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, and singularity theory.

Table of Contents
  • R. Lazarsfeld, Some remarks on the work of Lawrence Ein
  • A. Calabri and C. Ciliberto, Contractible curves on a rational surface
  • F. Catanese, On the canonical map of some surfaces isogenous to a product
  • C. Ciliberto, F. Flamini, C. Galati, and A. L. Knutsen, Degeneration of differentials and moduli of nodal curves on $K3$ surfaces
  • I. Coskun and J. Huizenga, Weak Brill-Noether for rational surfaces
  • R. Datta and K. E. Smith, Excellence in prime characteristic
  • M. Gonzalez Villa, A. Libgober, and L. Maxim, Motivic zeta functions and infinite cyclic covers
  • C. Hacon, M. Popa, and C. Schnell, Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Paun
  • S. Ishii and W. Niu, A strongly geometric general residual intersection
  • J. Kollar, Quadratic solutions of quadratic forms
  • S. J Kovacs, Non-Cohen-Macaulay canonical singularities
  • N. Mok, Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures
  • M. Mustata and Y. Nakamura, A boundedness conjecture for minimal log discrepancies on a fixed germ
  • E. Sernesi, The Wahl map of one-nodal curves on K3 surfaces
  • Y.-T. Siu, Skoda's ideal generation from vanishing theorem for semipositive Nakano curvature and Cauchy-Schwarz inequality for tensors
  • C. Voisin, Hyper-Kahler compactification of the intermediate Jacobian fibration of a cubic fourfold: The twisted case.

    Local and Global Methods in Algebraic Geometry

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      A Paperback by Nero Budur, Tommaso de Fernex, Roi Docampo

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 8/30/2018 12:00:00 AM
        ISBN13: 9781470434885, 978-1470434885
        ISBN10: 1470434881

        Description

        Book Synopsis
        Contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held in May 2016 at the University of Illinois. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, and singularity theory.

        Table of Contents
        • R. Lazarsfeld, Some remarks on the work of Lawrence Ein
        • A. Calabri and C. Ciliberto, Contractible curves on a rational surface
        • F. Catanese, On the canonical map of some surfaces isogenous to a product
        • C. Ciliberto, F. Flamini, C. Galati, and A. L. Knutsen, Degeneration of differentials and moduli of nodal curves on $K3$ surfaces
        • I. Coskun and J. Huizenga, Weak Brill-Noether for rational surfaces
        • R. Datta and K. E. Smith, Excellence in prime characteristic
        • M. Gonzalez Villa, A. Libgober, and L. Maxim, Motivic zeta functions and infinite cyclic covers
        • C. Hacon, M. Popa, and C. Schnell, Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Paun
        • S. Ishii and W. Niu, A strongly geometric general residual intersection
        • J. Kollar, Quadratic solutions of quadratic forms
        • S. J Kovacs, Non-Cohen-Macaulay canonical singularities
        • N. Mok, Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures
        • M. Mustata and Y. Nakamura, A boundedness conjecture for minimal log discrepancies on a fixed germ
        • E. Sernesi, The Wahl map of one-nodal curves on K3 surfaces
        • Y.-T. Siu, Skoda's ideal generation from vanishing theorem for semipositive Nakano curvature and Cauchy-Schwarz inequality for tensors
        • C. Voisin, Hyper-Kahler compactification of the intermediate Jacobian fibration of a cubic fourfold: The twisted case.

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