Geodesic
Integrable Systems and Torelli Theorems for the Moduli Spaces of Parabolic Bundles and Parabolic Higgs Bundles
Canadian journal of mathematics, Tome 68 (2016) no. 3, pp. 504-520

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DOI

We prove a Torelli theorem for the moduli space of semistable parabolic Higgs bundles over a smooth complex projective algebraic curve under the assumption that the parabolic weightsystemis generic. When the genus is at least two, using this result we also prove a Torelli theoremfor the moduli space of semistable parabolic bundles of rank at least two with generic parabolic weights.The key input in the proofs is a method of J.C. Hurtubise.
DOI : 10.4153/CJM-2015-039-5
Mots-clés : 14D22, 14D20, Keywords, parabolic bundle, Higgs field, Torelli theorem 
Biswas, Indranil; Gómez, Tomás L.; Logares, Marina. Integrable Systems and Torelli Theorems for the Moduli Spaces of Parabolic Bundles and Parabolic Higgs Bundles. Canadian journal of mathematics, Tome 68 (2016) no. 3, pp. 504-520. doi: 10.4153/CJM-2015-039-5
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     author = {Biswas, Indranil and G\'omez, Tom\'as L. and Logares, Marina},
     title = {Integrable {Systems} and {Torelli} {Theorems} for the {Moduli} {Spaces} of {Parabolic} {Bundles} and {Parabolic} {Higgs} {Bundles}},
     journal = {Canadian journal of mathematics},
     pages = {504--520},
     year = {2016},
     volume = {68},
     number = {3},
     doi = {10.4153/CJM-2015-039-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-039-5/}
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%J Canadian journal of mathematics
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