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Алгебраическая геометрия

Modular forms of one variable 33 c djvu 1.2 Мб
Infinite dimensional Grassmannians Abbondandolo A. 2003 г 27 c djvu 194 Кб
Toroidal Groups : Line Bundles, Cohomology and Quasi-Abelian Varieties (Lecture Notes in Mathematics) Abe Y., Kopfermann K. 2001 г 120 c djvu 932 Кб

Toroidal groups are the connecting link between torus groups and any complex Lie groups.
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Introduction to Grothendieck duality theory Altman A., Kleiman S. 1970 г 96 c djvu 1 021 Кб
Geometry of Algebraic Curves. Volume 1 Arbarello E., Harris J., James R. 1984 г 386 c djvu 4.7 Мб

These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory.
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Algebraic spaces Artin M. 1971 г 39 c djvu 364 Кб

These notes are based on lectures given at Yale University in the spring of 1969.
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Theorie des topos et cohomologie etale des schemas (SGA 4. III.) Artin M., Grothendieck A., Verdier J.L. 1972 г 646 c djvu 8 Мб
Theorie des topos et cohomologie etale des schemas (SGA 4. I.) Artin M., Grothendieck A., Verdier J.L. 1972 г 545 c djvu 8 Мб
Theorie des topos et cohomologie etale des schemas (SGA 4. II.) Artin M., Grothendieck A., Verdier J.L. 1972 г 424 c djvu 6 Мб
Arithmetic and Geometry: Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday. Volume 2. Geometry Artin M., Tate J. (eds.) 1983 г 248 c djvu 9 Мб
Arithmetic and Geometry: Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday. Voleme 1. Arithmetic Artin M., Tate J. (eds.) 1983 г 364 c djvu 3.8 Мб

Igor Rostislavovich Shafarevich has made outstanding contributions in number theory, algebra, and algebraic geometry.
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The topology of torus actions on symplectic manifolds Audin M. 1991 г 181 c djvu 1.3 Мб

This book -comes from a course I gave in Strasbourg in 1988-89. In the audience were in particular Julien Duval, Santiago Lopez de Medrano and Marcus Slupinski who helped me by their questions to understand many of the points I was supposed to be explaining.
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Compact complex surfaces Barth W., Peters C., Van de Ven A. 1984 г 161 c djvu 3 Мб

Early versions of parts of this work date back to the mid-sixties, when the third author started to write a book on surfaces.
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Complex Algebraic Surfaces Beauville A. 1996 г 132 c djv 878 Кб

Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics.
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Algebraic geometry angers 1979 Beauville A. (ed.) 1980 г 323 c djvu 3.1 Мб
Faisceany pervers Beilinson A., Bernstein J., Deligne P. 1982 г 173 c djvu 1.8 Мб
Theorie des reductions et theoreme de Riemann-Roch (SGA 6) Berthelot P., Grothendieck A., Illusie L. 1971 г 700 c djvu 11 Мб
Complex Abelian Varieties Birkenhake C., Lange H. 2004 г 655 c djvu 4.4 Мб

May be used as an introduction or reference. Covers the theory of abelian varieties over the field of complex numbers.
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Alexandre Grothendieck’s EGA V Blass P., Blass J. 112 c djvu 1 021 Кб
Real Algebraic Geometry Bochnak J., Coste M., Roy M.-F. 1998 г 220 c djvu 6 Мб

The present volume is a translation, revision and updating of our book (published in French) with the title "Geometrie Algebrique Relle". Since its publication in 1987 the theory has made advances in several directions.
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Algebraic D-Modules Borel A. 1986 г 355 c djvu 2.4 Мб

Presented here are recent developments in the algebraic theory of D-modules.
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Homotopy limits, completions and localizations Bousfield A., Kan D. 1972 г 348 c djvu 3 Мб

The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of Quillen and Sullivan; for R a subring of the rationals, the R-completion coincides up to homotopy, with the localizations of Quillen, Sullivan and others.
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Algebraic Geometry Bump D. 1999 г 250 c djvu 1.9 Мб

A text for a one-year course at the graduate level, for students with substantial background in algebra.
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Lectures on Elliptic Curves Cassels J.W.S. 1991 г 143 c djvu 740 Кб

The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory.
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Algebre commutative et introduction a geometrie algebrique Chambert-Loir A. 1998 г 83 c djvu 770 Кб

This graduate course has two faces: algebra and geometry. Indeed, we study simultaneously loci of points defined by polynomial equations and algebras of finite type over a field.
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Algebraic surfaces Chen J. 2003 г 34 c djvu 369 Кб

In this course, we are going to give a quick introduction to the theory of algebraic surfaces, for students who might had little experience with algebraic geometry.
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Trace formula in noncommutative geometry and the zeros of the Riemann zeta function Connes A. 1997 г 29 c djvu 457 Кб

Abstrac: We give a spectral interpretation of the critical zeros of the Riemann zeta function, and a geometric interpretation of the explicit formulas of number theory as a trace formula on a noncommutative space.
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Noncommutative geometry Connes A. 1994 г 661 c djvu 6 Мб

This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes.
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Grothendieck duality and base charge Conrad B. 2000 г 300 c djvu 2.3 Мб
Enriques surfaces I Cossec F., Dolgachev I. 1989 г 203 c djvu 2 Мб

This is the first of two volumes representing the ourrent state of knowledge about Enriques surfaces whioh oooupy one of the olasses in the olassifioation of algebraic surfaces.
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Mirror symmetry and algebraic geometry Cox D., Katz S. 1999 г 469 c djvu 7 Мб

Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space.
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Cyclic Homology in Non-Commutative Geometry Cuntz J., Skandalis G., Tsygan B. 2004 г 137 c djvu 1.2 Мб

This volume contains contributions by three authors and treats aspects of noncommutative geometry that are related to cyclic homology.
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Monomialization of morphisms from 3-folds to surfaces Cutkosky S.D. 2002 г 223 c djvu 1.2 Мб
Geometry of toric varieties Danilov V.I. 1978 г 30 c djvu 648 Кб
Higher-Dimensional Algebraic Geometry Debarre O. 2001 г 233 c djvu 2.8 Мб

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties.
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Groupes de monodromie en geometrie algebrique (SGA 7/1, 7/2 (LNM 288,340)) Deligne P., Katz N. 1973 г 448 c djvu 4.7 Мб
Complex Analytic and Differential Geometry Demailly J-P. 1997 г 518 c djvu 1.8 Мб
Introduction to algebraic geometry and algebraic groups Demazure M., Gabriel P. 1980 г 357 c djvu 4 Мб

An accessible text introducing algebraic geometry and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic geometries from first principles.
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Seminaire de Geometrie Algebrique (Tome 2). Groupes de type multiplicatif, et structure des schemas en groupes generaux. (SGA 3/2, LNM 152) Demazure M., Grothendieck A. 1970 г 661 c djvu 14 Мб
Seminaire de Geometrie Algebrique (Tome 3). Structures des schemas en groupes reductifs (SGA 3/3, LNM 153) Demazure M., Grothendieck A. 1970 г 529 c djvu 9 Мб
Seminaire de Geometrie Algebrique (Tome 1). Properties generales de schemas et groupes (SGA 3/1, LNM 151) Demazure M., Grothendieck A. 1970 г 564 c djvu 10 Мб
Cohomologie etale (SGA 4.5 (LNM 569)) Dold A., Eckmann B. (eds.) 1977 г 315 c djvu 3.1 Мб
Cohomologie l-adique et fonctions L (SGA 5) Dold A., Eckmann B. (eds.) 1977 г 496 c djvu 4 Мб
Topics in classical algebraic geometry. Part 1 Dolgachev I. 2003 г 184 c gz 438 Кб
Introduction to algebraic geometry Dolgachev I. 143 c gz 502 Кб
Topics in classical algebraic geometry. Part 2 Dolgachev I. 2003 г 23 c gz 80 Кб
Lectures on Invariant Theory Dolgachev I. 2003 г 220 c pdf 901 Кб

This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory.
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Lectures on Modular Forms Dolgachev I. 1997 г 147 c gz 456 Кб
The Geometry of Four-Manifolds Donaldson K., Kronheimer P.B. 1990 г 222 c djvu 3.9 Мб

The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new ‘exotic’ manifolds.
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Commutative algebra with a view toward algebraic geometry Eisenbud D. 1995 г 797 c djvu 7 Мб

Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry.
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