On the image of code polynomials under theta map

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The 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 $g=4$.

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Number Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/157772

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.4389
 http://arxiv.org/abs/0803.4389

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arXiv