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Local and Global Methods in Algebraic Geometry: (Contemporary Mathematics)

Local and Global Methods in Algebraic Geometry: (Contemporary Mathematics)


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About the Book

This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12-15, 2016, at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday.

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, geometry of surfaces, singularity theory, hyper-Kahler geometry, rational points, and rational curves.

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.


    About the Author :
    Nero Budur, KU Leuven, Belgium.

    Tommaso de Fernex, University of Utah, Salt Lake City, UT.

    Roi Docampo, University of Oklahoma, Norman, OK.

    Kevin Tucker, University of Illinois at Chicago, IL.


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    Product Details
    • ISBN-13: 9781470434885
    • Publisher: American Mathematical Society
    • Publisher Imprint: American Mathematical Society
    • Height: 254 mm
    • No of Pages: 368
    • Weight: 522 gr
    • ISBN-10: 1470434881
    • Publisher Date: 30 Aug 2018
    • Binding: Paperback
    • Language: English
    • Series Title: Contemporary Mathematics
    • Width: 178 mm


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