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arXiv · 2006.04965

The Kuranishi map for vector bundles on certain products of curves

Edoardo Ballico·Elizabeth Gasparim·Francisco Rubilar·Bruno Suzuki
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Abstract

We describe deformations of vector bundles on surfaces that are a product of two smooth projective curves. We explicitly describe the Kuranishi map around unstable vector bundles and compare the homologies of the Kuranishi spaces of stable and unstable deformations.

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Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar, Bruno Suzuki. 2020-06-08. The Kuranishi map for vector bundles on certain products of curves. https://doi.org/10.1016/j.topol.2022.108056

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