Geodesic
Divisorial cohomology vanishing on toric varieties
Documenta mathematica, Tome 16 (2011), pp. 209-251.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This work discusses combinatorial and arithmetic aspects of cohomology vanishing for divisorial sheaves on toric varieties. We obtain a refined variant of the Kawamata-Viehweg theorem which is slightly stronger. Moreover, we prove a new vanishing theorem related to divisors whose inverse is nef and has small Iitaka dimension. Finally, we give a new criterion for divisorial sheaves for being maximal Cohen-Macaulay.
Classification : 13C14, 14B15, 14M25
Keywords: toric varieties, cohomology, local cohomology, Weil divisors, maximal Cohen-macaualy modules 
@article{DOCMA_2011__16__a27,
     author = {Perling, Markus},
     title = {Divisorial cohomology vanishing on toric varieties},
     journal = {Documenta mathematica},
     pages = {209--251},
     publisher = {mathdoc},
     volume = {16},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a27/}
}
TY  - JOUR
AU  - Perling, Markus
TI  - Divisorial cohomology vanishing on toric varieties
JO  - Documenta mathematica
PY  - 2011
SP  - 209
EP  - 251
VL  - 16
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a27/
LA  - en
ID  - DOCMA_2011__16__a27
ER  - 
%0 Journal Article
%A Perling, Markus
%T Divisorial cohomology vanishing on toric varieties
%J Documenta mathematica
%D 2011
%P 209-251
%V 16
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a27/
%G en
%F DOCMA_2011__16__a27
Perling, Markus. Divisorial cohomology vanishing on toric varieties. Documenta mathematica, Tome 16 (2011), pp. 209-251. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a27/