Algebraic Geometry and Its Applications: Proceedings of the 8th Algebraic Geometry Conference, Yaroslavl' 1992. a Publication from the Steklov Institu

ISBN-13: 9783322993441 / Angielski / Miękka / 2012 / 251 str.

Alexander Tikhomirov; Andrej Tyurin

Opis

This volume contains 18 papers at the Algebraic Geometry Conference, Yaroslavl', August 10-14, 1992. These conferences in algebraic geometry have a great tradition in Russia and are helt since 1979 in Yaroslavl' every second year. The present conference, the eighth one, was the first in which several foreign mathematicians participated. From the Russian side, there was a large group of specialists in algebraic geometry and related fields (invariant theory, topology of manifolds, theory of categories, mathematical physics etc.). Lectures on modern directions in algebraic geometry, such as the theory of exceptional bundles and helices on algebraic varieties, moduli of vector bundles on algebraic surfaces with applications to Donaldson's theory, geometry of Hilbert schemes of points, twistor spaces and applications to string theory, and more traditional areas, such as birational geometry of manifolds, adjunction theory, Hodge theory, problems of rationality in the invariant theory, topology of complex algebraic varieties, and others are contained in this volume.

Spis treści

Contents: W. L. Bailey, Jr.: Three Problems on an Exceptional Domain - M. C. Beltrametti, G. M. Besana, and A. J. Sommese: On the Dimension of the Adjoint Linear System for Quadric Fibrations - D. C. Butler: On the Stability of ME - H. D'Souza: On a Class of Del Pezzo Fiber Spaces - M. II. Gizatullin: The Decomposition, Inertia and Ramification Groups in Birational Geometry - A. L. Goredentsev: Helix Theory and Nonsymmetrical Bilinear Forms - P. I. Katsylo: On the Unramified 2 - covers of the Curves of Genus 3 - A. A. Klyachko: Spatial Polygons and Stable Configurations of Points in the Projective line - S. A. Kuleshov: Rigid Sheaves on Surfaces - Vic. S. Kulikov: The Alexander Polynomials of Algebraic Curves in C2 - V. V. Nikulin: On the Brauer Group of Real Algebraic Surfaces - A. D. Popova'and A. G. Sergeev: Sympletic Twistors and Geometric Quantization of Strings - Yu. G. Prokhorov: Compactifications of Exceptional Bundles on a Quadric Surface - A. N. Rudakov: Exceptional Vector Bundles on a Del Pezzo Surface - A. S. Tikhomirov: Standard Bundles on a Hilbert Scheme of Points on a Surface - A. S. Tikhomirov and T. L. Troshina: Top Segre Class of a Standard Vector Bundle ED4 on the Hilbert Scheme Hilb4S of a Surface S - A. N. Tyurin: Almost Canonical Polynomials of Algebraic Surface.

O autorze

Alexander S. Tikhomirov arbeitet am State Pedagogical Institute of Yaroslavl'; Andrej N. Tyurin ist tätig am Steklov Institute of Mathematics in Moskau.