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arXiv · 2104.06493

Variation of moduli spaces of coherent systems of dimension one and order one

Mario Maican
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Abstract

We study the wall-crossing for moduli spaces of coherent systems of dimension one and order one on a smooth projective variety over the complex numbers. We compute the topological Euler characteristic of the moduli spaces in the particular case when the variety is a quadric surface, the first Chern class of the coherent systems is of the form (2,r) and the second Chern class is bounded from below by 3r + 1 and also by 4r - 8.

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Mario Maican. 2021-04-13. Variation of moduli spaces of coherent systems of dimension one and order one. https://arxiv.org/abs/2104.06493

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