Corpus ID: 237571503

On intersections of symmetric determinantal varieties and theta characteristics of canonical curves

  title={On intersections of symmetric determinantal varieties and theta characteristics of canonical curves},
  author={Avinash Kulkarni and Sameera Vemulapalli},
From a block-diagonal (n+1)×(m+1)×(m+1) tensor symmetric in the last two entries one obtains two varieties: an intersection of symmetric determinantal hypersurfaces X in n-dimensional projective space, and an intersection of quadrics C in m-dimensional projective space. Under mild technical assumptions, we characterize the accidental singularities of X in terms of C. We apply our methods to algebraic curves and show how to construct theta characteristics of certain canonical curves of genera 3… Expand
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