大學(xué)代數(shù)幾何

前言

　　There are several good recent textbooks on algebraic geometry atthe graduate level．but not（to my knowledge）any designed for anundergraduate course．Humble notes are from a course given in twosuccessive years in the 3rd year of the Warwick undergraduate mathcourse，and are intended as a self-contained introductory textbook．

內(nèi)容概要

　　There are several good recent textbooks on algebraic geometry atthe graduate level．but not（to my knowledge）any designed for anundergraduate course．Humble notes are from a course given in twosuccessive years in the 3rd year of the Warwick undergraduate mathcourse，and are intended as a self-contained introductory textbook．

書籍目錄

0. WoffleChapter I. Playing with plane curves1. Plane conics2. Cubics and the group lawAppendix to Chapter I. Curves and their genusChapter II. The category of affine varieties3. Affine varieties and the Nullstellensatz4. Functions on varietiesChapter Iii. Applications5. Projective varieties and birationai equivalence6. Tangent space and nonsingularity, dimension7. The 27 lines on a cubic surface8. Final commentsIndex

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