[Construction d'une filtration de Harder–Narasimhan Frobenius non-scindée]
We construct an example of a vector bundle V over a smooth projective variety X such that for no , the Harder–Narasimhan filtration of splits, where is the Frobenius morphism of X.
Nous construisons un exemple de fibré vectoriel V au-dessus d'une variété projective lisse X tel que, pour tout , la filtration de Harder–Narasimhan de , où est le morphisme de Frobenius de X, est non-scindée.
Accepté le :
Publié le :
Biswas, Indranil 1 ; Holla, Yogish I. 1 ; Parameswaran, A.J. 1 ; Subramanian, S. 1
@article{CRMATH_2008__346_9-10_545_0,
author = {Biswas, Indranil and Holla, Yogish I. and Parameswaran, A.J. and Subramanian, S.},
title = {Construction of a {Frobenius} nonsplit {Harder{\textendash}Narasimhan} filtration},
journal = {Comptes Rendus. Math\'ematique},
pages = {545--548},
year = {2008},
publisher = {Elsevier},
volume = {346},
number = {9-10},
doi = {10.1016/j.crma.2008.03.011},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.crma.2008.03.011/}
}
TY - JOUR AU - Biswas, Indranil AU - Holla, Yogish I. AU - Parameswaran, A.J. AU - Subramanian, S. TI - Construction of a Frobenius nonsplit Harder–Narasimhan filtration JO - Comptes Rendus. Mathématique PY - 2008 SP - 545 EP - 548 VL - 346 IS - 9-10 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.crma.2008.03.011/ DO - 10.1016/j.crma.2008.03.011 LA - en ID - CRMATH_2008__346_9-10_545_0 ER -
%0 Journal Article %A Biswas, Indranil %A Holla, Yogish I. %A Parameswaran, A.J. %A Subramanian, S. %T Construction of a Frobenius nonsplit Harder–Narasimhan filtration %J Comptes Rendus. Mathématique %D 2008 %P 545-548 %V 346 %N 9-10 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.crma.2008.03.011/ %R 10.1016/j.crma.2008.03.011 %G en %F CRMATH_2008__346_9-10_545_0
Biswas, Indranil; Holla, Yogish I.; Parameswaran, A.J.; Subramanian, S. Construction of a Frobenius nonsplit Harder–Narasimhan filtration. Comptes Rendus. Mathématique, Tome 346 (2008) no. 9-10, pp. 545-548. doi: 10.1016/j.crma.2008.03.011
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