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Geometriae Dedicata

, Volume 194, Issue 1, pp 29–36 | Cite as

A stratification of the moduli space of pointed non-singular curves

  • Francisco L. R. PimentelEmail author
  • Gilvan Oliveira
Original Paper
  • 153 Downloads

Abstract

We consider the moduli space of pointed non-singular curves of genus g whose Weierstrass gap sequence has the largest gap \(\ell _g\) equal to \(2g-3\). We stratify the moduli space by the sequence of osculating divisors associated to a canonically embedded curve. A monomial basis for the space of higher orders regular differentials on the curves in each stratum is constructed. Numerical conditions are given on the semigroup imposing that one of the strata is empty. Several examples are presented.

Keywords

Moduli spaces Weierstrass semigroup Weierstrass gap sequence 

Mathematics Subject Classification (2000)

Primary 14H55 Secondary 14D20 14H10 

Notes

Acknowledgements

The authors would like to thank the anonymous referee for useful comments, especially Remark 3 that was suggested by him.

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Copyright information

© Springer Science+Business Media B.V. 2017

Authors and Affiliations

  1. 1.FortalezaBrasil
  2. 2.Departamento de Matemática, CCEUFESVitóriaBrasil

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