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A Noether-Lefschetz Theorem for Spectral Varieties with Applications

Published 21 Sep 2021 in math.AG | (2109.09989v1)

Abstract: We calculate the Picard group of generic (very general) spectral varieties living in the total space of a very ample line bundle over an algebraically closed field $k$ of odd characteristics or characteristic 0. We follow the strategy of Ravindra and Srinivas [RS06,RS09] via formal Picard groups. As an application, we calculate the generic fibers of Hitchin systems over a smooth quintic surface of Picard number 1.

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Authors (2)

  1. Xiaoyu Su 
  2. Bin Wang 

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