Algebraic Geometry by Michael Artin

Algebraic Geometry by Michael Artin

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.

Michael Artin, Massachusetts Institute of Technology, Cambridge, MA.

SKU	Non disponible
ISBN 13	9781470471118
ISBN 10	1470471116
Titre	Algebraic Geometry
Auteur	Michael Artin
Série	Graduate Studies In Mathematics
État	Non disponible
Type de reliure	Paperback
Éditeur	American Mathematical Society
Année de publication	2022-11-30
Nombre de pages	322
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible