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

@inproceedings{Bak2009TheSC,
  title={The Spectral Construction for a ( 1 , 8 )-Polarized Family of Abelian Varieties},
  author={Anthony Bak},
  year={2009}
}
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… CONTINUE READING

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