Fay Identities of Pfaffian Type for Hyperelliptic Curves

• 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
• 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

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...