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Thomae’s derivative formulae for trigonal curves

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Abstract

In this paper, we prove a Thomae derivative formula for trigonal curves admitting a non-singular affine model. This formula relates the derivatives of theta functions with rational characteristics on the curve to explicit expressions in the branching values.

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Authors and Affiliations

  1. National University of Kyiv-Mohyla Academy, H. Skovorody St. 2, Kiev, 04655, Ukraine

    Victor Enolski

  2. Finance Department School of Business 2100, Hillside University of Connecticut, Storrs, CT, 06268, USA

    Yaacov Kopeliovich

  3. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmund Safra Campus, 91904, Jerusalem, Israel

    Shaul Zemel

Authors
  1. Victor Enolski
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  2. Yaacov Kopeliovich
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  3. Shaul Zemel
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Correspondence to Shaul Zemel.

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Victor Enolski: Deceased.

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Enolski, V., Kopeliovich, Y. & Zemel, S. Thomae’s derivative formulae for trigonal curves. Lett Math Phys 110, 611–637 (2020). https://doi.org/10.1007/s11005-019-01233-4

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  • DOI: https://doi.org/10.1007/s11005-019-01233-4

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