Indefinite theta series of signature (1,1) from the point of view of homological mirror symmetry

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dc.creatorPolishchuk, Alexander
dc.date2000-03-13
dc.date2004-08-21
dc.date.accessioned2026-07-07T04:34:17Z
dc.date.available2026-07-07T04:34:17Z
dc.descriptionWe apply the homological mirror symmetry for elliptic curves to the study of indefinite theta series. We prove that every such series corresponding to a quadratic form of signature (1,1) can be expressed in terms of theta series associated with split quadratic forms and the usual theta series. We also show that indefinite theta series corresponding to univalued Massey products between line bundles on elliptic curve are modular.
dc.description37 pages, minor structural changes
dc.identifierhttps://arxiv.org/abs/math/0003076
dc.identifierhttp://arxiv.org/abs/math/0003076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58846
dc.subjectAlgebraic Geometry
dc.titleIndefinite theta series of signature (1,1) from the point of view of homological mirror symmetry
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