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arXiv · 0903.5488

The Spectral Construction for a (1,8)-Polarized Family of Abelian Varieties

A. Bak
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Abstract

We extend the Spectral Construction, a technique used with great success to study and construct vector bundles on elliptically fibered varieties, to a special family of abelian surface fibered varieties. The results are motivated by requirements from Heterotic String Phenomenology where vector bundles with specified chern class are required to produce a realistic particle spectrum. Although only certain (1,8)-polarized families of abelian surfaces are considered here we expect the main ideas to carry over to other families of abelian varieties with a uniform relative polarization type.

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A. Bak. 2009-03-31. The Spectral Construction for a (1,8)-Polarized Family of Abelian Varieties. https://arxiv.org/abs/0903.5488

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