Introduction to Algebraic Geometry

Small book cover: Introduction to Algebraic Geometry

Introduction to Algebraic Geometry

Publisher: Indian Institute of Technology Bombay
Number of pages: 20

This text is a brief introduction to algebraic geometry. We will focus mainly on two basic results in algebraic geometry, known as Bezout's Theorem and Hilbert's Nullstellensatz, each of which can be viewed as a generalization of the Fundamental Theorem of Algebra.

Home page url

Download or read it online for free here:
Download link
(200KB, PDF)

Similar books

Book cover: Complex Analytic and Differential GeometryComplex Analytic and Differential Geometry
by - Universite de Grenoble
Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc.
Book cover: Introduction to Algebraic GeometryIntroduction to Algebraic Geometry
From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.
Book cover: Algebraic GeometryAlgebraic Geometry
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.
Book cover: Strings and GeometryStrings and Geometry
by - American Mathematical Society
This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.