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Punctual Hilbert schemes

About this Title

Anthony A. Iarrobino

Publication: Memoirs of the American Mathematical Society
Publication Year: 1977; Volume 10, Number 188
ISBNs: 978-0-8218-2188-6 (print); 978-1-4704-0054-5 (online)
DOI: https://doi.org/10.1090/memo/0188
MathSciNet review: 0485867

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Table of Contents

Chapters

  • 1. A stratification of the Hilbert scheme
  • 2. $Z_T$ and $G_T$ in the case $\operatorname {char} k = 0$
  • 3. $Z_T$ and $G_T$ when $\operatorname {char} k = p$
  • 4. Vector spaces of forms, local parameters on the Hilbert scheme
  • 5. Irreducibility of $\operatorname {Hilb}^n R$, after Briançon
  • 6. Problems and comments