HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS
Glasgow mathematical journal, Tome 61 (2019) no. 2, pp. 297-320
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We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the (normalisation of) its moduli spaces and the associated Hitchin fibration. The case of trivial degree is covered by the work of Thaddeus in 2001. Our arguments are different from those of Thaddeus and cover arbitrary degree.
FRANCO, EMILIO; GARCIA-PRADA, OSCAR; NEWSTEAD, P. E. HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS. Glasgow mathematical journal, Tome 61 (2019) no. 2, pp. 297-320. doi: 10.1017/S0017089518000228
@article{10_1017_S0017089518000228,
author = {FRANCO, EMILIO and GARCIA-PRADA, OSCAR and NEWSTEAD, P. E.},
title = {HIGGS {BUNDLES} {OVER} {ELLIPTIC} {CURVES} {FOR} {COMPLEX} {REDUCTIVE} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {297--320},
year = {2019},
volume = {61},
number = {2},
doi = {10.1017/S0017089518000228},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000228/}
}
TY - JOUR AU - FRANCO, EMILIO AU - GARCIA-PRADA, OSCAR AU - NEWSTEAD, P. E. TI - HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS JO - Glasgow mathematical journal PY - 2019 SP - 297 EP - 320 VL - 61 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000228/ DO - 10.1017/S0017089518000228 ID - 10_1017_S0017089518000228 ER -
%0 Journal Article %A FRANCO, EMILIO %A GARCIA-PRADA, OSCAR %A NEWSTEAD, P. E. %T HIGGS BUNDLES OVER ELLIPTIC CURVES FOR COMPLEX REDUCTIVE GROUPS %J Glasgow mathematical journal %D 2019 %P 297-320 %V 61 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000228/ %R 10.1017/S0017089518000228 %F 10_1017_S0017089518000228
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