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