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Original Essays | November 9, 2009

Jesse Bullington: IMG Abash'd the Devil Stood

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I don't believe in evil. It's a word I use, certainly, because words are shortcuts and we all take the short way round from time to time, but that's... Continue »
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Other titles in the Encyclopaedia of Mathematical Sciences series:

  1. Dirac Equation
  2. Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems
  3. Dynamical Systems III
  4. Mathematical Aspects of Classical and Celestial Mechanics
  5. Dynamical Systems IV-KTO: Symplectic Geometry & Its Applications
  6. Dynamical Systems V
  7. Dynamical Systems V: Bifurcation Theory and Catastrophe Theory
  8. Dynamical Systems VII: Integrable Systems, Nonholonomic Dynamical Systems
  9. Several Complex Variables III
  10. Basic Notions of Algebra
  11. Commutative Harmonic Analysis I: General Survey. Classical Aspects
  12. Functional Analysis I
  13. Lie Groups and Lie Algebras I: Foundations of Lie Theory. Lie Transformation Groups
  14. Lie Groups & Lie Algebras II: Discrete Subgroups of Lie Groups, Cohomologies of Lie Groups & Lie Algebras
  15. Representation Theory and Noncommutative Harmonic Analysis I: Fundamental Concepts. Representations of Virasoro and Affine Algebras
  16. Topology II
  17. Analysis III: Spaces of Differentiable Functions
  18. Geometry I: Basic Ideas and Concepts of Differential Geometry
  19. Geometry: Volume 2: Spaces of Constant Curvature
  20. Partial Differential Equations II: Elements of the Modern Theory. Equations with Constant Coefficients
  21. Partial Differential Equations V: Asymptotic Methods for Partial Differential Equations
  22. Algebraic Geometry III: Complex Algebraic Varieties. Algebraic Curves & Their Jacobians
  23. Algebra IV: Infinite Groups, Linear Groups
  24. Algebra V
  25. Dynamical Systems VIII: Singularity Theory II. Applications
  26. Lie Groups and Lie Algebras III
  27. Commutative Harmonic Analysis IV: Harmonic Analysis in RN
  28. Probability Theory III: Stochastic Calculus
  29. Geometry III: Theory of Surfaces
  30. Introduction To Modern Number Theory
  31. General Topology III: Paracompactness, Function Spaces, Descriptive Theory
  32. Algebra VI: Combinatorial and Asymptotic Methods of Algebra. Nonassociative Structures
  33. Algebra VII: Combinatorial Group Theory. Applications to Geometry
  34. Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions
  35. Partial Differential Equations VI: Elliptic and Parabolic Operators
  36. Partial Differential Equations VII: Spectral Theory of Differential Operators
  37. Dynamical Systems X: General Theory of Vortices
  38. Algebra VIII: Representations of Finite-Dimensional Algebras
  39. Several Complex Variables VII: Sheaf-Theoretical Methods in Complex Analysis
  40. Algebra IX: Group Representations, Finite-Dimensional Division Rings
  41. Partial differential equations IX :elliptic boundary value problems
  42. Complex Analysis I
  43. Control Theory and Optimization I
  44. Control Theory From the Geometric Viewpo
  45. Geometry Vol. V: Minimal Surfaces
  46. Dynamical Systems, Ergodic Theory, and Applications
  47. Hard Ball Systems and the Lorentz Gas
  48. Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective
  49. Probability on Discrete Structures
  50. Cyclic Homology in Non-commutative Geometry
  51. Operator Algebras
  52. Theory of Operator Algebras I
  53. Theory of Operator Algebras II
  54. CLASSIFICATION OF NUCLEAR C-ALGEBRAS.ENTROPY IN OPERATOR ALGEBRAS
  55. Theory of Operator Algebras III
  56. Algebraic Quotients
  57. Algebraic Transformation Groups and Algebraic Varieties
  58. Projective Duality and Homogeneous Spaces
  59. Linear Algebraic Monoids
  60. Multiplicative Invariant Theory
  61. Algebraic Theory of Locally Nilpotent Derivations
  62. Standard Monomial Theory: Invariant Theoretic Approach
  63. Invariants for Homology 3-Spheres
  64. Graphs on Surfaces and Their Applications
  65. Surfaces in 4 Space
  66. Quantum Probability and Applications V
  67. Singular Modular Forms and Theta Relations

Encyclopaedia of Mathematical Sciences #23: Algebraic Geometry I

by I. R. Shafarevich

Encyclopaedia of Mathematical Sciences #23: Algebraic Geometry I Cover

Synopses & Reviews

Publisher Comments:

This volume of the Encyclopaedia consists of two parts. The first is devoted to the theory of curves, which are treated from both the analytic and algebraic points of view. Starting with the basic notions of the theory of Riemann surfaces the reader is lead into an exposition covering the Riemann-Roch theorem, Riemann's fundamental existence theorem, uniformization and automorphic functions. The algebraic material also treats algebraic curves over an arbitrary field and the connection between algebraic curves and Abelian varieties. The second part is an introduction to higher-dimensional algebraic geometry. The author deals with algebraic varieties, the corresponding morphisms, the theory of coherent sheaves and, finally, the theory of schemes. This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields.
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Product Details

ISBN:
9783540519959
Subtitle:
Algebraic Curves. Algebraic Manifolds and Schemes
Author:
Shafarevich, I. R.
Translator:
Shokurov, V.N.
Translator:
Coray, D.
Publisher:
Springer
Subject:
Manifolds (mathematics)
Subject:
Curves, algebraic
Subject:
Geometry - Algebraic
Subject:
Mathematical Analysis
Subject:
Topology - General
Edition Description:
1994. 2nd Print
Series:
Encyclopaedia of Mathematical Sciences
Series Volume:
23
Publication Date:
July 2009
Binding:
Hardcover
Language:
English
Illustrations:
Y
Pages:
307
Dimensions:
9.21x6.14x.75 in. 1.39 lbs.
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