Overview
This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems. The approach in this book is purely algebraic. The main tool is commutative algebra, from which the needed results are recalled, in most cases with proofs. The prerequisites consist of the knowledge of basics in affine and projective geometry, basic algebraic concepts regarding rings, modules, fields, linear algebra, basic notions in the theory of categories, and some elementary point–set topology. This book can be used as a textbook for an undergraduate course in algebraic geometry. The users of the book are not necessarily intended to become algebraic geometers but may be interested students or researchers who want to have a first smattering in the topic. The book contains several exercises, in which there are more examples and parts of the theory that are not fully developed in the text. Of some exercises, there are solutions at the end of each chapter.
Full Product Details
Author: Ciro Ciliberto
Publisher: Springer Nature Switzerland AG
Imprint: Springer Nature Switzerland AG
Edition: 1st ed. 2021
Volume: 129
Weight: 0.617kg
ISBN: 9783030710200
ISBN 10: 3030710203
Pages: 327
Publication Date: 05 May 2021
Audience:
College/higher education
,
Undergraduate
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
New concepts in algebra that one needs, in order to understand the content of the book, are introduced ... . I find this feature as an asset of the present book. ... the present book is a valuable introduction to algebraic geometry which is nicely written ... and a pleasure to read. It can be recommended as a first book for undergraduate courses devoted to algebraic geometry, and also as a supplementary source for standard courses devoted to algebraic geometry. (Piotr Pokora, zbMATH 1471.14001, 2021)
Author Information
Ciro Ciliberto has been a full professor of higher geometry at the University of Roma “Tor Vergata”. Recently, he retired and kept the honorary position of “Docens Turris Virgatae” at the same university. His research fields are algebraic geometry and history of mathematics. He published more than 200 research papers, most of them in top scientific journals, and various books. He spent several research stays abroad, he has been invited to give talks to several international conferences and he is the editor of various scientific journals. Among his hobbies, there are painting and writing.
