Tensor product theorem for Hitchin pairs – An algebraic approach

V. Balaji[1]; A.J. Parameswaran[2]

  • [1] Chennai Mathematical Institute SIPCOT IT Park Siruseri-603103 (India)
  • [2] Kerala School of Mathematics Kozhikode, Kerala and Tata Institute of Fundamental Research School of Mathematics Mumbai-400095 (India)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 6, page 2361-2403
  • ISSN: 0373-0956

Abstract

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We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields of characteristic zero and characteristic p , with p satisfying some natural bounds. We also prove the corresponding theorem for polystable Hitchin pairs.

How to cite

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Balaji, V., and Parameswaran, A.J.. "Tensor product theorem for Hitchin pairs – An algebraic approach." Annales de l’institut Fourier 61.6 (2011): 2361-2403. <http://eudml.org/doc/219836>.

@article{Balaji2011,
abstract = {We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields of characteristic zero and characteristic $p$, with $p$ satisfying some natural bounds. We also prove the corresponding theorem for polystable Hitchin pairs.},
affiliation = {Chennai Mathematical Institute SIPCOT IT Park Siruseri-603103 (India); Kerala School of Mathematics Kozhikode, Kerala and Tata Institute of Fundamental Research School of Mathematics Mumbai-400095 (India)},
author = {Balaji, V., Parameswaran, A.J.},
journal = {Annales de l’institut Fourier},
keywords = {Higgs semistable Hitchin pairs; Tannaka categories; group schemes; tensor products; Hitchin pairs; semistability; groups schemse},
language = {eng},
number = {6},
pages = {2361-2403},
publisher = {Association des Annales de l’institut Fourier},
title = {Tensor product theorem for Hitchin pairs – An algebraic approach},
url = {http://eudml.org/doc/219836},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Balaji, V.
AU - Parameswaran, A.J.
TI - Tensor product theorem for Hitchin pairs – An algebraic approach
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 6
SP - 2361
EP - 2403
AB - We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields of characteristic zero and characteristic $p$, with $p$ satisfying some natural bounds. We also prove the corresponding theorem for polystable Hitchin pairs.
LA - eng
KW - Higgs semistable Hitchin pairs; Tannaka categories; group schemes; tensor products; Hitchin pairs; semistability; groups schemse
UR - http://eudml.org/doc/219836
ER -

References

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