A proof of the Trisecant Identity through the Fourier-Mukai transform

Daniel Hern\'andez Serrano; Francisco Jos\'e Plaza Mart\'in; Jos\'e M. Mu\~noz Porras

arxiv: 1011.2165 · v1 · pith:VU3BMU3Rnew · submitted 2010-11-09 · 🧮 math.AG

A proof of the Trisecant Identity through the Fourier-Mukai transform

Daniel Hern\'andez Serrano , Francisco Jos\'e Plaza Mart\'in , Jos\'e M. Mu\~noz Porras This is my paper

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keywords fourier-mukaitransformtrisecantalgebraiccurvedefiningessentiallyexplicit

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Using the technique of the Fourier-Mukai transform we give an explicit set of generators of the ideal defining an algebraic curve as a subscheme of its Jacobian. Essentially, these ideals are generated by the Fay's trisecant identities.

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A proof of the Trisecant Identity through the Fourier-Mukai transform

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