Algebraic Geometry

Download E-books Algebraic Curves and One-Dimensional Fields (Courant Lecture Notes) PDF

By Fedor Bogomolov

Algebraic curves have many designated homes that make their learn fairly lucrative. accordingly, curves offer a traditional creation to algebraic geometry. during this e-book, the authors additionally carry out elements of curves which are special to them and emphasize connections with algebra. this article covers the fundamental subject matters within the geometry of algebraic curves, comparable to line bundles and vector bundles, the Riemann-Roch Theorem, divisors, coherent sheaves, and zeroth and primary cohomology teams. The authors make some degree of utilizing concrete examples and specific ways to make sure that the fashion is apparent and comprehensible. numerous chapters improve the connections among the geometry of algebraic curves and the algebra of one-dimensional fields. this is often an attractive subject that's not often present in introductory texts on algebraic geometry. This ebook makes a good textual content for a primary path for graduate scholars.

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