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arXiv · 1702.02361

Theta functions for Holomorphic triples

Georg Hein·Thang Quyet Truong
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Abstract

We introduce an generalization of the theta divisor to the theory of holomorphic triples on a smooth projective curve $X$. We show that a given triple $T=(E_1 \to E_0)$ is $\alpha$-semistable iff there exists an orthogonal tripe $S=(F_1 \to F_0)$ with given numerical invariants. This yields globally generated theta line bundles on the moduli space of semistable triples.

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Georg Hein, Thang Quyet Truong. 2017-02-08. Theta functions for Holomorphic triples. https://arxiv.org/abs/1702.02361

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