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Holomorphic Triples on Elliptic Curves

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Abstract.

Here we study the α-stability for holomorphic triples over curves of genus g = 1. We provide necessary and sufficient conditions for the moduli space of α-stable triples to be non-empy and, in these cases, we show that it is smooth and irreducible.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive, 14, I-38050, Povo, TN, Italy

    Stefano Pasotti & Francesco Prantil

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  1. Stefano Pasotti
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  2. Francesco Prantil
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Correspondence to Stefano Pasotti.

Additional information

The authors were partially supported by MIUR and GNSAGA of INdAM (Italy) and HPMTCT-2001-00277.

Received: January 10, 2007.

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Pasotti, S., Prantil, F. Holomorphic Triples on Elliptic Curves. Result. Math. 50, 227–239 (2007). https://doi.org/10.1007/s00025-007-0248-2

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  • DOI: https://doi.org/10.1007/s00025-007-0248-2

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