Classification of Algebraic Varieties.

Intro -- Contents -- Introduction -- List of Participants -- List of Seminars -- On curves in C(2) generating proper abelian subvarieties of J(C) -- Lefschetz type results for proper intersections -- Some effects of the spectral values on reductions -- Surfaces in P4 and deficiency modules -- The class C is not stable by small deformations. II -- Surfaces with K2 = x = 2 and special nets of quadrics in 3-space -- Non-isomorphic curves of genus four with isomorphic (non-polarized) jacobians -- Deformations of symmetric products of curves -- Q-acyclic surfaces and their deformations -- On a question of J. Kollár -- Boundedness for some special families of embedded manifolds -- Generalized Euler sequence and toric varieties -- A generalized Teissier-Plucker formula -- Log surfaces of general type -- some conjectures -- On triple covers of Pn as very ample divisors -- Component numbers for torsion sections of semistable elliptic surfaces -- Braid group techniques in complex geometry III: Projective degeneration of v3 -- Braid group techniques in complex geometry IV: Braid monodromy of the branch curve S3 of V3 → CP2 and application to π1 (CP2 - S3, *) -- On the irregularity of cyclic coverings of the projective plane -- Counting rational points on cubic surfaces -- Miyaoka-Yau inequality for normal surfaces and local analogues -- Minimal models of Calabi-Yau threefolds.

This volume contains the proceedings of the Algebraic Geometry Conference on Classification of Algebraic Varieties, held in May 1992 at the University of L'Aquila in Italy. The papers discuss a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered are algebraic curve theory, algebraic surface theory, the theory of minimal models, braid groups and the topology of algebraic varieties, toric varieties, Calabi-Yau three-folds, enumerative formulas, and generalizations of K�hler differential geometry. In addition to algebraic geometers, theoretical physicists in some areas will find this book useful. The book is also suitable for an advanced graduate course in algebraic geometry, as it provides an overview of some areas of current research.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.