Proceedings of Summer Research Institute on Algebraic Geometry, Bowdoin College, Brunswick, Maine, July 8-26, 1985.

Includes bibliographies.

Rationality of fields of invariants / Igor V. Dolgachev -- Automorphisms of $K3$-like rational surfaces / Brian Harbourne -- Fundamental groups of the complements to plane singular curves / A. Libgober -- Galois coverings in the theory of algebraic surfaces / B. Moishezon and M. Teicher -- Geometry of the Horrocks-Mumford bundle / Klaus Hulek -- Vari�et�es de modules de faisceaux semi-stables de rang �elev�e sur $\mathbf {P}_2$ / J. Le Potier -- Vector bundles and submanifolds of projective space: nine open problems / Michael Schneider -- $F$-isocrystals and $p$-adic representations / Richard Crew -- Foliations and inseparable morphisms / Torsten Ekedahl -- Deligne's $l$-adic Fourier transform / Luc Illusie -- Lifting algebraic curves, abelian varieties, and their endomorphisms to characteristic zero / Frans Oort -- The geometry of the extension class of a mixed Hodge structure / James A. Carlson -- The local geometry of the Abel-Jacobi mapping / Herbert Clemens -- Generic Torelli and infinitesimal variation of Hodge structure / David A. Cox -- The geometry of the mixed Hodge structure on the fundamental group / Richard M. Hain -- Degeneration of mixed Hodge structures / Steven Zucker -- Hilbert scheme of points: Overview of last ten years / A. Iarrobino -- Intersection theory and enumerative geometry: a decade in review / Steven L. Kleiman -- Completed quadrics and linear maps / Dan Laksov -- Local Chern characters and intersection multiplicities / Paul C. Roberts -- Enumerating contacts / Robert Speiser -- Cycles on arithmetic schemes and Euler characteristics of curves / Spencer Bloch -- Zero-cycles and $K$-theory on singular varieties / Marc Levine -- Zero cycles modulo rational equivalence for some varieties over fields of transcendence degree one / Chad Schoen -- Rational equivalence of $0$-cycles on normal varieties over $\mathbf {C}$ / V. Srinivas -- Syzygies: The codimension of zeros of a nonzero section / E. Graham Evans, Jr. and Phillip Griffith -- Intersection problems and Cohen-Macaulay modules / Melvin Hochster -- Decompositions of torsionfree modules over affine curves / Roger Wiegand and Sylvia Wiegand --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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