Algebraic Geometry: Notes on a Course (Graduate Studies in Mathematics) - Tapa blanda

Artin, Michael

 
9781470471118: Algebraic Geometry: Notes on a Course (Graduate Studies in Mathematics)
Tapa blanda
ISBN 10: 1470471116 ISBN 13: 9781470471118
Editorial: American Mathematical Society, 2022

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2022
Idioma
Inglés
ISBN 10 
1470471116
ISBN 13 
9781470471118
Encuadernación
Tapa blanda
Número de páginas
322
Contacto del fabricante
no disponible
Persona responsable
no disponible