En utilisant des résultats de A. Beauville (Acta Math. 164 (1990) 211–235), nous donnons une description explicite des champs de vecteurs invariants par translation sur les jacobiennes affines des courbes spectrales qui justifie mathématiquement les travaux de F.A. Smirnov and V. Zeitlin (preprint math-ph/0203037). Dans le cas hyperelliptique, cette description est due à D. Mumford (Tata Lectures on Theta, Vol. II, Birkhäuser, Boston, 1983).
Thanks to results of A. Beauville (Acta Math. 164 (1990) 211–235), we give an explicit description of translation-invariant vector fields on affine Jacobians of spectral curves, which gives a mathematical support for the work of F.A. Smirnov and V. Zeitlin (preprint math-ph/0203037). In the hyperelliptic case, this description is due to D. Mumford (Tata Lectures on Theta, Vol. II, Birkhäuser, Boston, 1983).
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@article{CRMATH_2003__337_2_105_0,
author = {Baohua Fu},
title = {Champs de vecteurs invariants par translation sur les jacobiennes affines des courbes spectrales},
journal = {Comptes Rendus. Math\'ematique},
pages = {105--110},
publisher = {Elsevier},
volume = {337},
number = {2},
year = {2003},
doi = {10.1016/S1631-073X(03)00283-8},
language = {fr},
}
Baohua Fu. Champs de vecteurs invariants par translation sur les jacobiennes affines des courbes spectrales. Comptes Rendus. Mathématique, Volume 337 (2003) no. 2, pp. 105-110. doi : 10.1016/S1631-073X(03)00283-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00283-8/
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