The Determinant of Cohomology and Moduli of $λ$-Connections

Fuente: arXiv
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Main Author: Martens, Johan
Format: Preprint
Published: 2024
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author Martens, Johan
author_facet Martens, Johan
contents We exhibit how the Hodge-Deligne moduli space of $λ$-connections over a smooth projective curve, for stable bundles with fixed determinant, can be understood as the dual of the Atiyah algebroid of the determinant of cohomology line bundle.
format Preprint
id arxiv_https___arxiv_org_abs_2412_02898
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Determinant of Cohomology and Moduli of $λ$-Connections
Martens, Johan
Algebraic Geometry
We exhibit how the Hodge-Deligne moduli space of $λ$-connections over a smooth projective curve, for stable bundles with fixed determinant, can be understood as the dual of the Atiyah algebroid of the determinant of cohomology line bundle.
title The Determinant of Cohomology and Moduli of $λ$-Connections
topic Algebraic Geometry
url https://arxiv.org/abs/2412.02898