Vector bundles and monads on abelian threefolds

Martin G. Gulbrandsen

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arXiv · 0907.3597

Vector bundles and monads on abelian threefolds

Martin G. Gulbrandsen

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Abstract

We give examples of stable rank 2 vector bundles on principally polarized abelian threefolds, and study their deformations. The starting point is the Serre construction, which gives a source of examples, and which we rephrase in terms of Barth--Hulek like monads. Using the monad description, we compute the dimension of the space of first order infinitesimal deformations of these bundles. Moreover, we obtain a birational description of a 13-dimensional component of the moduli space for stable vector bundles.

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Martin G. Gulbrandsen. 2009-07-21. Vector bundles and monads on abelian threefolds. https://arxiv.org/abs/0907.3597

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