Geodesic
Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic Stacks
Documenta mathematica, Tome 25 (2020), pp. 159-169
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let X be a normal, connected and projective variety over an algebraically closed field k. In [I. Biswas and J. P. P. dos Santos, J. Inst. Math. Jussieu 10, No. 2, 225–234 (2011; Zbl 1214.14037)] and [M. Antei and V. B. Mehta, Arch. Math. 97, No. 6, 523–527 (2011; Zbl 1236.14041)] it is proved that a vector bundle V on X is essentially finite if and only if it is trivialized by a proper surjective morphism f:Y⟶X. In this paper we introduce a different approach to this problem which allows to extend the results to normal, connected and strongly pseudo-proper algebraic stack of finite type over an arbitrary field k.
DOI : 10.4171/dm/742
Classification : 14A20, 14F08, 14L15, 18F99
Mots-clés : algebraic stacks, essentially finite vector bundles, Nori's fundamental group, fundamental gerbes 
@article{10_4171_dm_742,
     author = {Fabio Tonini and Lei Zhang},
     title = {Essentially {Finite} {Vector} {Bundles} on {Normal} {Pseudo-Proper} {Algebraic} {Stacks}},
     journal = {Documenta mathematica},
     pages = {159--169},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/742},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/742/}
}
TY  - JOUR
AU  - Fabio Tonini
AU  - Lei Zhang
TI  - Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic Stacks
JO  - Documenta mathematica
PY  - 2020
SP  - 159
EP  - 169
VL  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/742/
DO  - 10.4171/dm/742
ID  - 10_4171_dm_742
ER  - 
%0 Journal Article
%A Fabio Tonini
%A Lei Zhang
%T Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic Stacks
%J Documenta mathematica
%D 2020
%P 159-169
%V 25
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/742/
%R 10.4171/dm/742
%F 10_4171_dm_742
Fabio Tonini; Lei Zhang. Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic Stacks. Documenta mathematica, Tome 25 (2020), pp. 159-169. doi: 10.4171/dm/742

Cité par Sources :