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ЖУРНАЛЫ // Moscow Mathematical Journal // Архив

Mosc. Math. J., 2003, том 3, номер 1, страницы 105–121 (Mi mmj79)

Эта публикация цитируется в 8 статьях

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

A. E. Polishchuk

Boston University, Department of Mathematics and Statistics

Аннотация: We show that Fay's trisecant identity follows from the $A_\infty$-constraint satisfied by 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 noncommuting entries. On the other hand, looking at more special Massey products, we derive a formula for the tangent line to a canonically embedded curve at a given point.

Ключевые слова и фразы: Massey products, theta functions, quasideterminant.

MSC: Primary 14H42; Secondary 15A15

Статья поступила: 18 марта 2002 г.

Язык публикации: английский

DOI: 10.17323/1609-4514-2003-3-1-105-121



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