A geometry of the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one

Sang-Bum Yoo

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arXiv · 2305.18187

A geometry of the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one

Sang-Bum Yoo

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Abstract

We describe the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one and its geometric structures in terms of the Hitchin map and a flat degeneration of the moduli space of Higgs bundles on an elliptic curve.

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Sang-Bum Yoo. 2023-05-29. A geometry of the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one. https://arxiv.org/abs/2305.18187

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