An introduction to algebraic geometry and algebraic groups

Meinolf Josef Geck

Research output: Book/ReportBook

Abstract

An accessible text introducing algebraic geometry 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 geometries 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 and 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 proofs. The text uses algebraic groups as the main examples, including worked out examples, instructuve exercises, as well as bibliographical and historical remarks.
Original languageEnglish
Place of PublicationNew York, NY, USA
PublisherOxford University Press
Number of pages307
ISBN (Print)0198528310, 978-0198528319
Publication statusPublished - 15 Jan 2004

Publication series

NameOxford Graduate Texts in Mathematics
Volume10

Fingerprint

Algebraic Geometry
Algebraic Groups
Lefschetz number
Affine geometry
Conjugacy
First-principles
Frobenius
Representation Theory
Riemann zeta function
Exercise
Galois field
Torus
Finite Group
Subgroup
Cover
Text

Cite this

Geck, M. J. (2004). An introduction to algebraic geometry and algebraic groups. (Oxford Graduate Texts in Mathematics; Vol. 10). New York, NY, USA: Oxford University Press.

An introduction to algebraic geometry and algebraic groups. / Geck, Meinolf Josef.

New York, NY, USA : Oxford University Press, 2004. 307 p. (Oxford Graduate Texts in Mathematics; Vol. 10).

Research output: Book/ReportBook

Geck, MJ 2004, An introduction to algebraic geometry and algebraic groups. Oxford Graduate Texts in Mathematics, vol. 10, Oxford University Press, New York, NY, USA.
Geck MJ. An introduction to algebraic geometry and algebraic groups. New York, NY, USA: Oxford University Press, 2004. 307 p. (Oxford Graduate Texts in Mathematics).
Geck, Meinolf Josef. / An introduction to algebraic geometry and algebraic groups. New York, NY, USA : Oxford University Press, 2004. 307 p. (Oxford Graduate Texts in Mathematics).
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