Torelli theorem for the parabolic Deligne–Hitchin moduli space

We prove that, given the isomorphism class of the parabolic Deligne–Hitchin moduli space over a smooth projective curve, we can recover the isomorphism class of the curve and the parabolic points.

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Bibliographic Details
Published inJournal of geometry and physics Vol. 123; pp. 448 - 462
Main Authors Alfaya, David, Gómez, Tomás L.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2018
Subjects
Moduli space
Parabolic Deligne–Hitchin
Parabolic Higgs bundle
Torelli theorem
Vector bundle
Torelli theorem
Parabolic Higgs bundle
14D20
Vector bundle
Moduli space
14C34
Parabolic Deligne–Hitchin
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Summary:We prove that, given the isomorphism class of the parabolic Deligne–Hitchin moduli space over a smooth projective curve, we can recover the isomorphism class of the curve and the parabolic points.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2017.10.006