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

Author:

Sang-Bum Yoo

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-05-28 16:00:00

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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