Quantization, Classical and Quantum Field Theory and Theta - Functions

dc.creatorTyurin, Andrey N.
dc.date2002-10-30
dc.date.accessioned2026-07-07T04:52:29Z
dc.date.available2026-07-07T04:52:29Z
dc.descriptionIn the abelian case (the subject of several beautiful books) fixing some combinatorial structure (so called theta structure of level k) one obtains a special basis in the space of sections of canonical polarization powers over the jacobians. These sections can be presented as holomorphic functions on the "abelian Schottky space". This fact provides various applications of these concrete analytic formulas to the integrable systems, classical mechanics and PDE's. Our practical goal is to do the same in the non abelian case that is to give an answer to the Beauville's question. In future we hope to extend this digest to a mathematical mohograph with title "VBAC".
dc.descriptionTo Igor Rostislavovich Shafarevich on his 80th birthday (will be published by CRS, Canada)
dc.identifierhttps://arxiv.org/abs/math/0210466
dc.identifierhttp://arxiv.org/abs/math/0210466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65484
dc.subjectAlgebraic Geometry
dc.titleQuantization, Classical and Quantum Field Theory and Theta - Functions
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