Soit une transformation de Fourier–Mukai entre les catégories dérivées bornées de deux courbes lisses projectives. On vérifie que l'application induite entre les variétés jacobiennes préserve les polarisations principales si et seulement si Φ est une équivalence.
Given a Fourier–Mukai transform between the bounded derived categories of two smooth projective curves, we verify that the induced map between the Jacobian varieties preserves the principal polarization if and only if Φ is an equivalence.
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@article{CRMATH_2007__345_4_203_0, author = {Bernardara, Marcello}, title = {Fourier{\textendash}Mukai transforms of curves and principal polarizations}, journal = {Comptes Rendus. Math\'ematique}, pages = {203--208}, publisher = {Elsevier}, volume = {345}, number = {4}, year = {2007}, doi = {10.1016/j.crma.2007.07.006}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2007.07.006/} }
TY - JOUR AU - Bernardara, Marcello TI - Fourier–Mukai transforms of curves and principal polarizations JO - Comptes Rendus. Mathématique PY - 2007 SP - 203 EP - 208 VL - 345 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2007.07.006/ DO - 10.1016/j.crma.2007.07.006 LA - en ID - CRMATH_2007__345_4_203_0 ER -
%0 Journal Article %A Bernardara, Marcello %T Fourier–Mukai transforms of curves and principal polarizations %J Comptes Rendus. Mathématique %D 2007 %P 203-208 %V 345 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2007.07.006/ %R 10.1016/j.crma.2007.07.006 %G en %F CRMATH_2007__345_4_203_0
Bernardara, Marcello. Fourier–Mukai transforms of curves and principal polarizations. Comptes Rendus. Mathématique, Tome 345 (2007) no. 4, pp. 203-208. doi : 10.1016/j.crma.2007.07.006. http://archive.numdam.org/articles/10.1016/j.crma.2007.07.006/
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