English

Edge and Fano on nets of quadrics

Algebraic Geometry 2018-05-02 v1

Abstract

In a number of papers by Edge, and in a related paper by Fano, several properties are discussed of the family of scrolls of degree 8, in the complex projective space, whose plane sections are projected bicanonical models of a genus 3 curve C. This beautiful subject is implicitely related to the moduli of semistable rank two vector bundles on C with bicanonical determinant. We revisit and reconstruct this matter in modern terms with a modular point of view. This paper is the refereed version of a contribution to a volume in honor of W.L Edge, to be published by European Journal of Mathematics.

Keywords

Cite

@article{arxiv.1805.00204,
  title  = {Edge and Fano on nets of quadrics},
  author = {Alessandro Verra},
  journal= {arXiv preprint arXiv:1805.00204},
  year   = {2018}
}

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13 pages