Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287996129> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4287996129 abstract "In this paper we describe the birational geometry of Fano double spaces $Vstackrel{sigma}{to}{mathbb P}^{M+1}$ of index 2 and dimension $geqslant 8$ with at mostquadratic singularities of rank $geqslant 8$, satisfying certain additional conditions of general position: we prove that these varieties have no structures of a rationally connected fibre space over a base of dimension $geqslant 2$, that every birational map $chicolon Vdashrightarrow V'$ onto the total space of a Mori fibre space $V'/{mathbb P}^1$ induces an isomorphism $V^+cong V'$ of the blow up $V^+$ of the variety $V$ along $sigma^{-1}(P)$, where $Psubset {mathbb P}^{M+1}$ is a linear subspace of codimension 2, and that every birational map of the variety $V$ onto a Fano variety $V'$ with ${mathbb Q}$-factorial terminal singularities and Picard number 1 is an isomorphism. We give an explicit lower estimate for the codimension of the set of varieties $V$ with worse singularities or not satisfying the conditions of general position, quadratic in $M$. The proof makes use of the method of maximal singularities and the improved $4n^2$-inequality for the self-intersection of a mobile linear system." @default.
- W4287996129 created "2022-07-26" @default.
- W4287996129 creator A5055677297 @default.
- W4287996129 date "2019-12-10" @default.
- W4287996129 modified "2023-09-29" @default.
- W4287996129 title "Birational geometry of singular Fano double spaces of index two" @default.
- W4287996129 doi "https://doi.org/10.48550/arxiv.1912.04817" @default.
- W4287996129 hasPublicationYear "2019" @default.
- W4287996129 type Work @default.
- W4287996129 citedByCount "0" @default.
- W4287996129 crossrefType "posted-content" @default.
- W4287996129 hasAuthorship W4287996129A5055677297 @default.
- W4287996129 hasBestOaLocation W42879961291 @default.
- W4287996129 hasConcept C105795698 @default.
- W4287996129 hasConcept C114614502 @default.
- W4287996129 hasConcept C115624301 @default.
- W4287996129 hasConcept C12843 @default.
- W4287996129 hasConcept C134306372 @default.
- W4287996129 hasConcept C136197465 @default.
- W4287996129 hasConcept C138885662 @default.
- W4287996129 hasConcept C150397156 @default.
- W4287996129 hasConcept C164226766 @default.
- W4287996129 hasConcept C185592680 @default.
- W4287996129 hasConcept C202444582 @default.
- W4287996129 hasConcept C203436722 @default.
- W4287996129 hasConcept C2524010 @default.
- W4287996129 hasConcept C2778572836 @default.
- W4287996129 hasConcept C33676613 @default.
- W4287996129 hasConcept C33923547 @default.
- W4287996129 hasConcept C37253 @default.
- W4287996129 hasConcept C39757861 @default.
- W4287996129 hasConcept C41895202 @default.
- W4287996129 hasConcept C8010536 @default.
- W4287996129 hasConcept C83979697 @default.
- W4287996129 hasConceptScore W4287996129C105795698 @default.
- W4287996129 hasConceptScore W4287996129C114614502 @default.
- W4287996129 hasConceptScore W4287996129C115624301 @default.
- W4287996129 hasConceptScore W4287996129C12843 @default.
- W4287996129 hasConceptScore W4287996129C134306372 @default.
- W4287996129 hasConceptScore W4287996129C136197465 @default.
- W4287996129 hasConceptScore W4287996129C138885662 @default.
- W4287996129 hasConceptScore W4287996129C150397156 @default.
- W4287996129 hasConceptScore W4287996129C164226766 @default.
- W4287996129 hasConceptScore W4287996129C185592680 @default.
- W4287996129 hasConceptScore W4287996129C202444582 @default.
- W4287996129 hasConceptScore W4287996129C203436722 @default.
- W4287996129 hasConceptScore W4287996129C2524010 @default.
- W4287996129 hasConceptScore W4287996129C2778572836 @default.
- W4287996129 hasConceptScore W4287996129C33676613 @default.
- W4287996129 hasConceptScore W4287996129C33923547 @default.
- W4287996129 hasConceptScore W4287996129C37253 @default.
- W4287996129 hasConceptScore W4287996129C39757861 @default.
- W4287996129 hasConceptScore W4287996129C41895202 @default.
- W4287996129 hasConceptScore W4287996129C8010536 @default.
- W4287996129 hasConceptScore W4287996129C83979697 @default.
- W4287996129 hasLocation W42879961291 @default.
- W4287996129 hasOpenAccess W4287996129 @default.
- W4287996129 hasPrimaryLocation W42879961291 @default.
- W4287996129 hasRelatedWork W17355648 @default.
- W4287996129 hasRelatedWork W20094682 @default.
- W4287996129 hasRelatedWork W21305143 @default.
- W4287996129 hasRelatedWork W2202287 @default.
- W4287996129 hasRelatedWork W28042620 @default.
- W4287996129 hasRelatedWork W29007559 @default.
- W4287996129 hasRelatedWork W39125986 @default.
- W4287996129 hasRelatedWork W44201434 @default.
- W4287996129 hasRelatedWork W55789648 @default.
- W4287996129 hasRelatedWork W8361996 @default.
- W4287996129 isParatext "false" @default.
- W4287996129 isRetracted "false" @default.
- W4287996129 workType "article" @default.