An Undergraduate Primer in Algebraic Geometry

Name: An Undergraduate Primer in Algebraic Geometry
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Ciro Ciliberto

२०२१ मे · UNITEXT पुस्तक 129 · Springer Nature

३.०

१ समीक्षा

इ-पुस्तक

327

पृष्ठहरू

रेटिङ र रिभ्यूहरूको पुष्टि गरिएको हुँदैन थप जान्नुहोस्

यो इ-पुस्तकका बारेमा

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.

मूल्याङ्कन र समीक्षाहरू

३.०

१ समीक्षा

लेखकको बारेमा

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.

यो इ-पुस्तकको मूल्याङ्कन गर्नुहोस्

हामीलाई आफ्नो धारणा बताउनुहोस्।

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