%0 Journal Article
%T Kähler classes on universal moduli spaces and volumina of Quot spaces
%+ Institut de Mathématiques de Marseille (I2M)
%+ Institut für Mathematik [Zürich]
%A Teleman, Andrei
%A Okonek, Christian
%< avec comité de lecture
%@ 0393-0440
%J Journal of Geometry and Physics
%I Elsevier
%V 96
%P 81–106
%8 2015-10
%D 2015
%R 10.1016/j.geomphys.2015.06.004
%K Kähler classes
%K Universal moduli spaces
%K Donaldson classes
%K Volumina
%Z MSC 53C07, 32G13, 58D27, 53C55, 53D20, 32L05, 32M05
%Z Mathematics [math]/Differential Geometry [math.DG]
%Z Mathematics [math]/Complex Variables [math.CV]
%Z Mathematics [math]/Algebraic Geometry [math.AG]Journal articles
%X We study canonical Kähler metrics on moduli spaces of stable oriented pairs in a very general framework, and we prove a universal formula expressing the Kähler class of such a moduli space in terms of characteristic classes of the universal bundle. We use these results to compute the volumina of certain Quot spaces.
%G English
%L hal-01221938
%U https://hal.science/hal-01221938
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ ANR