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Polynomial Rings and Affine Spaces

About this Title

Masayoshi Nagata

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1978; Volume 37
ISBNs: 978-0-8218-3882-2 (print); 978-1-4704-2396-4 (online)
DOI: https://doi.org/10.1090/cbms/037

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Table of Contents

Front/Back Matter

Chapters

  • Introduction
  • Elementary properties of polynomial rings
  • Affine spaces and projective spaces
  • Ruled surfaces and rational surfaces
  • Automorphism groups of polynomial rings
  • Cremona groups
  • Group actions on affine rings
  • Complete reducibility of rational representations
  • Rings of invariants
  • Some remarks on orbits