Triple Massey products on curves, Fay's trisecant identity and tangents to the canonical embedding

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dc.creatorPolishchuk, Alexander
dc.date2001-07-27
dc.date2002-07-29
dc.date.accessioned2026-07-07T04:42:45Z
dc.date.available2026-07-07T04:42:45Z
dc.descriptionWe show that Fay's trisecant identity follows from the A_{infinity}-constraint between certain triple Massey products in the derived category of coherent sheaves on a curve. We also deduce the matrix analogue of this identity that can be conveniently formulated using quasideterminants of matrices with non-commuting entries. On the other hand, looking at more special triple Massey products we derive a formula for the tangent line to a canonically embedded curve at a given point.
dc.descriptionlatex, 16 pages, a misprint corrected, references updated
dc.identifierhttps://arxiv.org/abs/math/0107194
dc.identifierhttp://arxiv.org/abs/math/0107194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61913
dc.subjectAlgebraic Geometry
dc.titleTriple Massey products on curves, Fay's trisecant identity and tangents to the canonical embedding
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