# BRILL-NOETHER DIVISORS ON THE MODULI SPACE OF CURVES AND APPLICATIONS

• BALLICO EDOARDO (Universita di Trento Dipartimento di Matematica Via Sommarvie) ;
• FONTANARI CLAUDIO (Politecnico di Torino Dipartimento di Matematica)
• Published : 2005.11.01
• 65 24

#### Abstract

Here we generalize previous work by Eisenbud-Harris and Farkas in order to prove that certain Brill-Noether divisors on the moduli space of curves have distinct supports. From this fact we deduce non-trivial regularity results for a higher co dimensional Brill-Noether locus and for the general $\frac{g+1}{2}$-gonal curve of odd genusg.

#### Keywords

Brill-Noether divisor;moduli space of curves

#### References

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#### Cited by

1. Remarks on Brill–Noether divisors and Hilbert schemes vol.216, pp.2, 2012, https://doi.org/10.1016/j.jpaa.2011.06.019