The Gieseker-Petri divisor in M_g for genus g<=13
Abstract
The Gieseker-Petri locus GP_g is defined as the locus inside M_g consisting of curves which violate the Gieseker-Petri Theorem. It is known that GP_g has always some divisorial components and it has been conjectured that it is of pure codimension 1 inside M_g. We prove that this holds true for genus up to 13.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2010
- DOI:
- arXiv:
- arXiv:1012.3061
- Bibcode:
- 2010arXiv1012.3061L
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 16 pages