Introduction to Algebraic Geometry

1. Auflage 2021
ISBN: 978-3-030-62643-3
Verlag: Springer International Publishing

Buch, Englisch, 470 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 817 g

The goal of this book is to provide an introduction to algebraic geometry accessible to students. Starting from solutions of polynomial equations, modern tools of the subject soon appear, motivated by how they improve our understanding of geometrical concepts. In many places, analogies and differences with related mathematical areas are explained. 

The text approaches foundations of algebraic geometry in a complete and self-contained way, also covering the underlying algebra. The last two chapters include a comprehensive treatment of cohomology and discuss some of its applications in algebraic geometry.

Zielgruppe

Graduate

Autoren/Hrsg.

Kriz, Sophie

Kriz, Igor

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Preface.- Introduction.- Beginning concepts.- Schemes.- Properties of schemes.- Sheaves of modules.- Introduction to Cohomology.- Cohomology in algebraic geometry.- Exercises.

Über Autor(innen)

Igor Kriz is Professor of Mathematics at the University of Michigan in Ann Arbor, MI, USA

Sophie Kriz isHonors math major, LSA, at the University of Michigan in Ann Arbor, MI, USA