• search hit 5 of 8
Back to Result List

Torus invariant divisors

  • Using the language of Altmann, Hausen and Süß, we describe invariant divisors on normal varieties X which admit an effective codimension one torus action. In this picture, X is given by a divisorial fan on a smooth projective curve Y. Cartierdivisors on X can be described by piecewise affine functions h on the divisorial fan S whereas Weil divisors correspond to certain zero and one-dimensional faces of it. Furthermore, we provide descriptions of the divisor class group and the canonical divisor. Global sections of line bundles O(D h ) will be determined by a subset of a weight polytope associatedto h, and global sections of specific line bundles on the underlying curve Y.

Export metadata

Additional Services

Search Google Scholar
Metadaten
Author: Lars Petersen, Hendrik Süß
URL:http://10.1007/s11856-011-0039-z
ISSN:0021-2172
ISSN:1565-8511
Title of the source (English):Israel Journal of Mathematics
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2011
Volume/Year:182
Issue number:1
First Page:481
Last Page:504
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Algorithmische Mathematik
Institution name at the time of publication:Fakultät für Mathematik, Naturwissenschaften und Informatik (eBTU) / LS Mathematik, insbesondere Algebra und Geometrie
Einverstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.