Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300786310> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4300786310 abstract "Based on the work of Okounkov (cite{Ok96}, cite{Ok03}), Lazarsfeld and Mustac tu a (cite{LM08}) and Kaveh and Khovanskii (cite{KK08}) have independently associated a convex body, called the Okounkov body, to a big divisor on a smooth projective variety with respect to a complete flag. In this paper we consider the following question: what can be said about the set of convex bodies that appear as Okounkov bodies? We show first that the set of convex bodies appearing as Okounkov bodies of big line bundles on smooth projective varieties with respect to admissible flags is countable. We then give a complete characterisation of the set of convex bodies that arise as Okounkov bodies of $R$-divisors on smooth projective surfaces. Such Okounkov bodies are always polygons, satisfying certain combinatorial criteria. Finally, we construct two examples of non-polyhedral Okounkov bodies. In the first one, the variety we deal with is Fano and the line bundle is ample. In the second one, we find a Mori dream space variety such that under small perturbations of the flag the Okounkov body remains non-polyhedral." @default.
- W4300786310 created "2022-10-04" @default.
- W4300786310 creator A5061786871 @default.
- W4300786310 creator A5073840730 @default.
- W4300786310 creator A5088692896 @default.
- W4300786310 date "2010-08-26" @default.
- W4300786310 modified "2023-09-30" @default.
- W4300786310 title "Convex bodies appearing as Okounkov bodies of divisors" @default.
- W4300786310 doi "https://doi.org/10.48550/arxiv.1008.4431" @default.
- W4300786310 hasPublicationYear "2010" @default.
- W4300786310 type Work @default.
- W4300786310 citedByCount "0" @default.
- W4300786310 crossrefType "posted-content" @default.
- W4300786310 hasAuthorship W4300786310A5061786871 @default.
- W4300786310 hasAuthorship W4300786310A5073840730 @default.
- W4300786310 hasAuthorship W4300786310A5088692896 @default.
- W4300786310 hasBestOaLocation W43007863101 @default.
- W4300786310 hasConcept C105795698 @default.
- W4300786310 hasConcept C110202963 @default.
- W4300786310 hasConcept C112680207 @default.
- W4300786310 hasConcept C114614502 @default.
- W4300786310 hasConcept C134912446 @default.
- W4300786310 hasConcept C136119220 @default.
- W4300786310 hasConcept C136197465 @default.
- W4300786310 hasConcept C157972887 @default.
- W4300786310 hasConcept C202444582 @default.
- W4300786310 hasConcept C206194317 @default.
- W4300786310 hasConcept C2524010 @default.
- W4300786310 hasConcept C2776730729 @default.
- W4300786310 hasConcept C33923547 @default.
- W4300786310 hasConcept C49870271 @default.
- W4300786310 hasConcept C62139920 @default.
- W4300786310 hasConceptScore W4300786310C105795698 @default.
- W4300786310 hasConceptScore W4300786310C110202963 @default.
- W4300786310 hasConceptScore W4300786310C112680207 @default.
- W4300786310 hasConceptScore W4300786310C114614502 @default.
- W4300786310 hasConceptScore W4300786310C134912446 @default.
- W4300786310 hasConceptScore W4300786310C136119220 @default.
- W4300786310 hasConceptScore W4300786310C136197465 @default.
- W4300786310 hasConceptScore W4300786310C157972887 @default.
- W4300786310 hasConceptScore W4300786310C202444582 @default.
- W4300786310 hasConceptScore W4300786310C206194317 @default.
- W4300786310 hasConceptScore W4300786310C2524010 @default.
- W4300786310 hasConceptScore W4300786310C2776730729 @default.
- W4300786310 hasConceptScore W4300786310C33923547 @default.
- W4300786310 hasConceptScore W4300786310C49870271 @default.
- W4300786310 hasConceptScore W4300786310C62139920 @default.
- W4300786310 hasLocation W43007863101 @default.
- W4300786310 hasLocation W43007863102 @default.
- W4300786310 hasLocation W43007863103 @default.
- W4300786310 hasLocation W43007863104 @default.
- W4300786310 hasLocation W43007863105 @default.
- W4300786310 hasOpenAccess W4300786310 @default.
- W4300786310 hasPrimaryLocation W43007863101 @default.
- W4300786310 hasRelatedWork W1427726556 @default.
- W4300786310 hasRelatedWork W1763880239 @default.
- W4300786310 hasRelatedWork W1966578465 @default.
- W4300786310 hasRelatedWork W2016767324 @default.
- W4300786310 hasRelatedWork W2019364522 @default.
- W4300786310 hasRelatedWork W2090067893 @default.
- W4300786310 hasRelatedWork W2953355138 @default.
- W4300786310 hasRelatedWork W2963611003 @default.
- W4300786310 hasRelatedWork W4298882433 @default.
- W4300786310 hasRelatedWork W1967098823 @default.
- W4300786310 isParatext "false" @default.
- W4300786310 isRetracted "false" @default.
- W4300786310 workType "article" @default.