Current Topics in Complex Algebraic Geometry
by Herbert Clemens, János Kollár
Publisher: Cambridge University Press 1996
Number of pages: 172
The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. To put it succinctly, algebraic geometry has opened up to ideas and connections from other fields that have traditionally been far away.
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by Kiran S. Kedlaya
This is not a typical math textbook, it does not present full developments of key theorems, but it leaves strategic gaps in the text for the reader to fill in. The original text underlying this book was a set of notes for the Math Olympiad Program.
by J. S. Milne
This is an introduction to the arithmetic theory of modular functions and modular forms, with an emphasis on the geometry. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.
by Igor V. Dolgachev - Cambridge University Press
The main purpose of the present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times.
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.