Algebraic Geometry (Graduate Studies in Mathematics, 222) free ebook download.

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Algebraic Geometry (Graduate Studies in Mathematics, 222) free ebook download

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Author(s):	Michael Artin

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	1470471116
Pages:	222	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	7/30/2024 11:22:19 AM

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1470471116 pdf
This book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. So it is a suitable text for a beginning graduate course or an advanced undergraduate course. The book begins with a study of plane algebraic curves, then introduces affine and projective varieties, going on to dimension and construcibility. $mathcal{O}$-modules (quasicoherent sheaves) are defined without reference to sheaf theory, and their cohomology is defined axiomatically. The Riemann-Roch Theorem for curves is proved using projection to the projective line. Some of the points that aren't always treated in beginning courses are Hensel's Lemma, Chevalley's Finiteness Theorem, and the Birkhoff-Grothendieck Theorem. The book contains extensive discussions of finite group actions, lines in $mathbb{P}^3$, and double planes, and it ends with applications of the Riemann-Roch Theorem.
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3267663	Book	https://rapidgator.net/file/4b928a46f150...		0.00	maveriks

Tags: Algebraic Geometry Graduate Mathematics Studies

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