On the image of code polynomials under theta map

dc.creatorOura, Manabu
dc.creatorManni, Riccardo Salvati
dc.date2008-03-31
dc.date.accessioned2026-07-07T09:29:24Z
dc.date.available2026-07-07T09:29:24Z
dc.descriptionThe theta map sends code polynomials into the ring of Siegel modular forms of even weights. Explicit description of the image is known for $g\leq 3$ and the surjectivity of the theta map follows. Instead it is known that this map is not surjective for $g\geq 5$. In this paper we discuss the possibility of an embedding between the associated projective varieties. We prove that this is not possible for $g\geq 4$ and consequently we get the non surjectivity of the graded rings for the remaining case $g=4$.
dc.identifierhttps://arxiv.org/abs/0803.4389
dc.identifierhttp://arxiv.org/abs/0803.4389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157772
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleOn the image of code polynomials under theta map
dc.typetext

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