Matches in SemOpenAlex for { <https://semopenalex.org/work/W4317461921> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4317461921 abstract "We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families appearing in the Graded Ring Database as a complete intersection. When such a deformation family $X$ has Fano index at least 2 and is minimally embedded in a weighted projective space in codimension 2, we determine which cyclic quotient singularity is a maximal centre. If a cyclic quotient singularity is a maximal centre, we construct a Sarkisov link to a non-isomorphic Mori fibre space or a birational involution. This allows, in particular, the construction of new examples of Fano 3-folds of codimension 6 which are realised as complete intersections in fake weighted projective spaces. We define linear cyclic quotient singularities on $X$ and prove that these are maximal centres by explicitly computing Sarkisov links centred at them. It turns out that each $X$ has a linear cyclic quotient singularity leading to a new birational model. As a consequence, we show that if $X$ is birationally rigid then its Fano index is 1. If the new birational model is a strict Mori fibre space, we determine its fibration type explicitly. In this case, a general member of $X$ is birational to a del Pezzo fibration of degrees 1, 2 or 3 or to a conic bundle $Y/S$ where $S$ is a weighted projective plane with at most $A_2$ singularities." @default.
- W4317461921 created "2023-01-20" @default.
- W4317461921 creator A5040052998 @default.
- W4317461921 date "2023-01-16" @default.
- W4317461921 modified "2023-10-01" @default.
- W4317461921 title "Explicit Birational Geometry of Fano threefold complete intersections" @default.
- W4317461921 doi "https://doi.org/10.48550/arxiv.2301.06481" @default.
- W4317461921 hasPublicationYear "2023" @default.
- W4317461921 type Work @default.
- W4317461921 citedByCount "0" @default.
- W4317461921 crossrefType "posted-content" @default.
- W4317461921 hasAuthorship W4317461921A5040052998 @default.
- W4317461921 hasBestOaLocation W43174619211 @default.
- W4317461921 hasConcept C114614502 @default.
- W4317461921 hasConcept C118615104 @default.
- W4317461921 hasConcept C12843 @default.
- W4317461921 hasConcept C134306372 @default.
- W4317461921 hasConcept C156772000 @default.
- W4317461921 hasConcept C16171025 @default.
- W4317461921 hasConcept C177846678 @default.
- W4317461921 hasConcept C199422724 @default.
- W4317461921 hasConcept C202444582 @default.
- W4317461921 hasConcept C33923547 @default.
- W4317461921 hasConcept C37253 @default.
- W4317461921 hasConcept C39757861 @default.
- W4317461921 hasConcept C54486226 @default.
- W4317461921 hasConcept C5961521 @default.
- W4317461921 hasConcept C75280867 @default.
- W4317461921 hasConcept C83979697 @default.
- W4317461921 hasConcept C90685605 @default.
- W4317461921 hasConcept C96881808 @default.
- W4317461921 hasConceptScore W4317461921C114614502 @default.
- W4317461921 hasConceptScore W4317461921C118615104 @default.
- W4317461921 hasConceptScore W4317461921C12843 @default.
- W4317461921 hasConceptScore W4317461921C134306372 @default.
- W4317461921 hasConceptScore W4317461921C156772000 @default.
- W4317461921 hasConceptScore W4317461921C16171025 @default.
- W4317461921 hasConceptScore W4317461921C177846678 @default.
- W4317461921 hasConceptScore W4317461921C199422724 @default.
- W4317461921 hasConceptScore W4317461921C202444582 @default.
- W4317461921 hasConceptScore W4317461921C33923547 @default.
- W4317461921 hasConceptScore W4317461921C37253 @default.
- W4317461921 hasConceptScore W4317461921C39757861 @default.
- W4317461921 hasConceptScore W4317461921C54486226 @default.
- W4317461921 hasConceptScore W4317461921C5961521 @default.
- W4317461921 hasConceptScore W4317461921C75280867 @default.
- W4317461921 hasConceptScore W4317461921C83979697 @default.
- W4317461921 hasConceptScore W4317461921C90685605 @default.
- W4317461921 hasConceptScore W4317461921C96881808 @default.
- W4317461921 hasLocation W43174619211 @default.
- W4317461921 hasOpenAccess W4317461921 @default.
- W4317461921 hasPrimaryLocation W43174619211 @default.
- W4317461921 hasRelatedWork W2027581003 @default.
- W4317461921 hasRelatedWork W2091401265 @default.
- W4317461921 hasRelatedWork W2214306181 @default.
- W4317461921 hasRelatedWork W2777408201 @default.
- W4317461921 hasRelatedWork W2908378045 @default.
- W4317461921 hasRelatedWork W2963866315 @default.
- W4317461921 hasRelatedWork W4289096775 @default.
- W4317461921 hasRelatedWork W4300574860 @default.
- W4317461921 hasRelatedWork W4301093157 @default.
- W4317461921 hasRelatedWork W2185460693 @default.
- W4317461921 isParatext "false" @default.
- W4317461921 isRetracted "false" @default.
- W4317461921 workType "article" @default.