Introduction to Algebraic Geometry
by Sudhir R. Ghorpade
Publisher: Indian Institute of Technology Bombay 2007
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:
by S. Basu, R. Pollack, M. Roy - Springer
The monograph gives a detailed exposition of the algorithmic real algebraic geometry. It is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields.
by Chris Peters - Institut Fourier Grenoble
This is an advanced course in complex algebraic geometry presupposing only some familiarity with theory of algebraic curves or Riemann surfaces. The goal is to understand the Enriques classification of surfaces from the point of view of Mori-theory.
by Tadao Oda - Tata Institute of Fundamental Research
Theory of torus embeddings has find many applications. The point of the theory lies in its ability of translating meaningful algebra-geometric phenomena into very simple statements about the combinatorics of cones in affine space over the reals.
by M. Douglas, J. Gauntlett, M. Gross - 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.