Let be a complex algebraic group, simple and simply connected, a maximal torus and the Weyl group. One shows that the coarse moduli space parametrizing -equivalence classes of semistable -bundles over an elliptic curve is isomorphic to . By a result of Looijenga, this shows that is a weighted projective space.
Soit un groupe algébrique complexe simple et simplement connexe, un tore maximal et le groupe de Weyl. On démontre que l’espace de modules grossier paramétrant les classes de -équivalence de -fibrés semi-stables sur une courbe elliptique , est isomorphe à . D’après un résultat de Looijenga, ceci prouve que est un espace projectif anistotrope.
@article{AIF_1998__48_2_413_0, author = {Laszlo, Yves}, title = {About $G$-bundles over elliptic curves}, journal = {Annales de l'Institut Fourier}, pages = {413--424}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {48}, number = {2}, year = {1998}, doi = {10.5802/aif.1623}, mrnumber = {99c:14016}, zbl = {0901.14019}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1623/} }
TY - JOUR AU - Laszlo, Yves TI - About $G$-bundles over elliptic curves JO - Annales de l'Institut Fourier PY - 1998 SP - 413 EP - 424 VL - 48 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1623/ DO - 10.5802/aif.1623 LA - en ID - AIF_1998__48_2_413_0 ER -
Laszlo, Yves. About $G$-bundles over elliptic curves. Annales de l'Institut Fourier, Volume 48 (1998) no. 2, pp. 413-424. doi : 10.5802/aif.1623. http://archive.numdam.org/articles/10.5802/aif.1623/
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