Remarks on minimal rational curves on moduli spaces of stable bundles

Liu Min

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arXiv · 1505.00629

Remarks on minimal rational curves on moduli spaces of stable bundles

Liu Min

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Abstract

Let M be the moduli space of stable bundles of rank 2 and with fixed determinant \mathcal{L} of degree d on a smooth projective curve C of genus g>= 2. When g=3 and d is even, we prove, for any point [W]\in M, there is a minimal rational curve passing through [W], which is not a Hecke curve. This complements a theorem of Xiaotao Sun.

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Liu Min. 2015-05-04. Remarks on minimal rational curves on moduli spaces of stable bundles. https://arxiv.org/abs/1505.00629

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