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Exceptional Weierstrass points and the divisor on moduli space that they define

About this Title

Steven Diaz

Publication: Memoirs of the American Mathematical Society
Publication Year 1985: Volume 56, Number 327
ISBNs: 978-0-8218-2328-6 (print); 978-1-4704-0740-7 (online)
MathSciNet review: 791679
MSC: Primary 14H10; Secondary 14D20, 14F07

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Table of Contents


  • 1. Introduction
  • 2. Preliminaries
  • 3. One parameter families
  • 4. Weierstrass points, Porteous’s formula, and $\bar {D}_{g-1,g-1}$
  • 5. A compactification of the Hurwitz scheme
  • 6. Some enumerative problems
  • 7. The class of $\bar {D}_{g-1,g-1}$
  • Appendix 1. Exceptional Weierstrass points of type $g+1$
  • Appendix 2. Weierstrass points on singular curves
  • Appendix 3. Complete families of smooth curves of genus $3$