Chern Forms of Hermitian Metrics with Analytic Singularities on Vector Bundles
Artikel i vetenskaplig tidskrift, 2022
We define Chern and Segre forms, or rather currents, associated with a Griffiths positive singular Hermitian metric h with analytic singularities on a holomorphic vector bundle E. The currents are constructed as pushforwards of generalized Monge-Ampere products on the projectivization of E. The Chern and Segre currents represent the Chern and Segre classes of E, respectively, and coincide with the Chern and Segre forms of E and h where h is smooth. Moreover, our currents coincide with the Chern and Segre forms constructed by the first three authors and Ruppenthal in the cases when these are defined.
Författare
Richard Lärkäng
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Algebra och geometri
Hossein Raufi
Chalmers, Matematiska vetenskaper, Algebra och geometri
Göteborgs universitet
Martin Sera
Kyoto University of Advanced Science
Elizabeth Wulcan
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Algebra och geometri
Indiana University Mathematics Journal
0022-2518 (ISSN)
Vol. 71 5 153-189Ämneskategorier (SSIF 2011)
Algebra och logik
Geometri
Matematisk analys
DOI
10.1512/iumj.2022.71.8834