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Remarks on the Gieseker-Petri divisor in genus eight

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Abstract

In the moduli space of curves of genus 8, M 8, denote by GP 8 the locus of curves that do not satisfy the Gieseker-Petri theorem. In this short note we study the projective plane models of curves of genus 8 that do not satisfy the Gieseker-Petri theorem. We use these projective models to exhibit an irreducible divisorial component in GP 8 and we show that GP 8 is an irreducible divisor.

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Authors and Affiliations

  1. Unidad Morelia (Universidad Nacional Autónoma de México), Instituto de Matemáticas, Apdo. Postal 61-3(Xangari), C.P. 58089, Morelia, Michoacán, México

    Abel Castorena

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  1. Abel Castorena
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Correspondence to Abel Castorena.

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The author was partially supported by grants CONACYT 48668-F(México), PAPIIT(UNAM) IN100909-2

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Castorena, A. Remarks on the Gieseker-Petri divisor in genus eight. Rend. Circ. Mat. Palermo 59, 143–150 (2010). https://doi.org/10.1007/s12215-010-0011-5

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