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    Station Eleven

    Emily St. John Mandel 9780385353304

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25 Remote Warehouse Mathematics- Algebraic Geometry

This title in other editions

Oxford Graduate Texts in Mathematics #10: An Introduction to Algebraic Geometry and Algebraic Groups

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Oxford Graduate Texts in Mathematics #10: An Introduction to Algebraic Geometry and Algebraic Groups Cover

 

Synopses & Reviews

Publisher Comments:

An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles.

Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups of Lie type.

The text covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, a thorough treatment of Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. Experts in the field will enjoy some of the new approaches to classical results.

The text uses algebraic groups as the main examples, including worked out examples, instructive exercises, as well as bibliographical and historical remarks.

About the Author

Meinolf Geck is Professor in Pure Mathematics at the Institute of Mathematics, King's College, University of Aberdeen

Table of Contents

1. Algebraic sets and algebraic groups

2. Affine varieties and finite morphisms

3. Algebraic representations and Borel subgroups

4. Frobenius maps and finite groups of Lie type

Bibliography

Index

Product Details

ISBN:
9780198528319
Author:
Geck, Meinolf
Publisher:
OUP Oxford
Location:
Oxford
Subject:
Geometry - Algebraic
Subject:
Linear algebraic groups
Subject:
Mathematics | Pure Mathematics
Subject:
Mathematics-Algebraic Geometry
Subject:
Algebra - General
Series:
Oxford Graduate Texts in Mathematics
Series Volume:
8710
Publication Date:
20031131
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
7 illus.
Pages:
320
Dimensions:
9.02x6.60x.85 in. 1.25 lbs.

Related Subjects

Health and Self-Help » Health and Medicine » Anatomy and Physiology
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Oxford Graduate Texts in Mathematics #10: An Introduction to Algebraic Geometry and Algebraic Groups New Hardcover
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