Introduction to Geometric Invariant Theory

These notes originate in a series of lectures given at the Tokyo Metropolitan University and Seoul National University i

332 96 3MB

English Pages 147 Year 1994

Table of contents :
Dolgachev I.V. Introduction to geometric invariant theory (Seoul National University, 1994) ......Page 2
Notes of the Series of Lectures held at the Seoul National University ......Page 3
CONTENTS ......Page 5
Preface v ......Page 6
Introduction ix ......Page 7
Lecture 1. Algebraic groups 1 ......Page 10
Lecture 2. Algebraic group actions 9 ......Page 18
Lecture 3. Linearizations of actions 17 ......Page 26
Lecture 4. Quotients 30 ......Page 39
Lecture 5. Hilbert’s fourteenth problem 41 ......Page 50
Lecture 6. Stability 51 ......Page 60
Lecture 7. Numerical criterion of stability 60 ......Page 69
Lecture 8. Example: projective hypersurfaces 69 ......Page 78
Lecture 9. Example: configurations of linear subspaces 80 ......Page 89
Lecture 10. Toric varieties 97 ......Page 106
Lecture 11. Moduli space of curves 108 ......Page 117
References 136 ......Page 145
cover ......Page 1

Author / Uploaded
I.V. Dolgachev

0 0 0
Like this paper and download? You can publish your own PDF file online for free in a few minutes! Sign Up

Recommend Papers

Introduction to geometric measure theory

173 19 1MB Read more

Geometric Invariant Theory [2 ed.] 3540112901, 9783540112907

This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposit

188 4 12MB Read more

Diophantine applications of geometric invariant theory 2856298656, 9782856298657

99 76 1MB Read more

Geometric Invariant Theory [3 ed.] 3540569634, 9783540569633

"Geometric Invariant Theory" by Mumford/Fogarty (the firstedition was published in 1965, a second, enlarged ed

149 50 76MB Read more

Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration (SpringerBriefs in Mathematics) 3030678288, 9783030678289

This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry

113 64 2MB Read more

Introduction to Geometric Algebra Computing 9780367571320, 9781498748384

360 64 10MB Read more

Geometric Group Theory: An Introduction [1st ed. 2017] 3319722530, 9783319722535

Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topol

470 105 6MB Read more

An Introduction to Invariant Imbedding 0-89871-304-8

Here is a book that provides the classical foundations of invariant imbedding, a concept that provided the first indicat

294 58 585KB Read more

Introduction to control theory

171 77 10MB Read more

Introduction to Number Theory

107 4 110MB Read more