Fay Identities of Pfaffian Type for Hyperelliptic Curves

We establish identities of Pfaffian type for the theta function associated with twice or half the period matrix of a hyperelliptic curve. They are implied by the large size asymptotic analysis of exact Pfaffian identities for expectation values of ratios of characteristic polynomials in ensembles of...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Authors: Borot, Gaëtan, Buc-d'Alché, Thomas
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212253
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Fay Identities of Pfaffian Type for Hyperelliptic Curves. Gaëtan Borot and Thomas Buc-d'Alché. SIGMA 20 (2024), 054, 38 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine