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Towards a tropical proof of the Gieseker–Petri Theorem

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Abstract

We use tropical techniques to prove a case of the Gieseker–Petri Theorem. Specifically, we show that the general curve of arbitrary genus does not admit a Gieseker–Petri special pencil.

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Acknowledgments

We would like to thank Eric Katz for reading an early version of this paper.

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Authors and Affiliations

  1. Stony Brook University, Stony Brook, NY, USA

    Vyassa Baratham, David Jensen, Cristina Mata, Dat Nguyen & Shalin Parekh

Authors
  1. Vyassa Baratham
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  2. David Jensen
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  3. Cristina Mata
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  4. Dat Nguyen
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  5. Shalin Parekh
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Correspondence to David Jensen.

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Baratham, V., Jensen, D., Mata, C. et al. Towards a tropical proof of the Gieseker–Petri Theorem. Collect. Math. 65, 17–27 (2014). https://doi.org/10.1007/s13348-012-0074-z

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  • DOI: https://doi.org/10.1007/s13348-012-0074-z

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