Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic Stacks
Fabio ToniniDipartimento di Matematica e Informatica ``Ulisse Dini'', Universitá degli Studi di Firenze, Viale Morgagni, 67/a, Florence 50134, Italy
Lei ZhangDepartment of Mathematics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong
Let be a normal, connected and projective variety over an algebraically closed field . 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 on is essentially finite if and only if it is trivialized by a proper surjective morphism . 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 .
Cite this article
Fabio Tonini, Lei Zhang, Essentially Finite Vector Bundles on Normal Pseudo-Proper Algebraic Stacks. Doc. Math. 25 (2020), pp. 159–169DOI 10.4171/DM/742