交替向量束第一级的奇异对偶性

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-11 DOI:arxiv-2409.07303

Hacen Zelaci

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引用次数: 0

摘要

在本文中，我们展示了广义 Theta 函数空间在夯实情况下交替反不变向量束的模空间上的一级奇异对偶同构。这些反不变向量束构成了准G-簇（其中G是一个扭曲的（非一般分裂的）准群方案）的非微观例子之一。

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Strange duality at level one for alternating vector bundles

In this paper, we show a strange duality isomorphism at level one for the space of generalized theta functions on the moduli spaces of alternating anti-invariant vector bundles in the ramified case. These anti-invariant vector bundles constitute one of the non-trivial examples of parahoric G-torsors, where G is a twisted (not generically split) parahoric group scheme.

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arXiv - MATH - Algebraic Geometry

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