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arXiv · 1609.05000

Sturm's operator for scalar weight in arbitrary genus

Kathrin Maurischat
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Abstract

In contrast to the wellknown cases of large weights, Sturm's operator does not realize the holomorphic projection operator for lower weights. We prove its failure for arbitrary Siegel genus $m\geq 2$ and scalar weight $\kappa=m+1$. This generalizes a result for genus two in [4].

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Kathrin Maurischat. 2016-09-16. Sturm's operator for scalar weight in arbitrary genus. https://arxiv.org/abs/1609.05000

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