Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950263886> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2950263886 abstract "The following divisors in the space Sym^{12} P^1 of twelve points on P^1 are actually the same: (A) the possible locus of the twelve nodal fibers in a rational elliptic fibration (i.e. a pencil of plane cubic curves); (B) degree 12 binary forms that can be expressed as a cube plus a square; (C) the locus of the twelve tangents to a smooth plane quartic from a general point of the plane; (D) the branch locus of a degree 4 map from a hyperelliptic genus 3 curve to P^1; (E) the branch locus of a degree 3 map from a genus 4 curve to P^1 induced by a theta-characteristic; and several more. The corresponding moduli spaces are smooth, but they are not all isomorphic; some are finite etale covers of others. We describe the web of interconnections between these spaces, and give monodromy, rationality, and Prym-related consequences. Enumerative consequences include: (i) the degree of this locus is 3762 (e.g. there are 3762 rational elliptic fibrations with nodes above 11 given general points of the base); (ii) if C --> P^1 is a cover as in (D), then there are 135 different such covers branched at the same points; (iii) the general set of 12 tangent lines that arises in (C) turns up in 120 essentially different ways. Some parts of this story are well-known, and some other parts were known classically (to Zeuthen, Zariski, Coble, Mumford, and others). The unified picture is surprisingly intricate and connects many beautiful constructions, including Recillas' trigonal construction and Shioda's E8-Mordell-Weil lattice." @default.
- W2950263886 created "2019-06-27" @default.
- W2950263886 creator A5013856193 @default.
- W2950263886 date "1999-10-14" @default.
- W2950263886 modified "2023-09-27" @default.
- W2950263886 title "Twelve points on the projective line, branched covers, and rational elliptic fibrations" @default.
- W2950263886 cites W100965798 @default.
- W2950263886 cites W1599288848 @default.
- W2950263886 cites W1989767052 @default.
- W2950263886 cites W1994319521 @default.
- W2950263886 cites W2241571710 @default.
- W2950263886 cites W2325202170 @default.
- W2950263886 hasPublicationYear "1999" @default.
- W2950263886 type Work @default.
- W2950263886 sameAs 2950263886 @default.
- W2950263886 citedByCount "0" @default.
- W2950263886 crossrefType "posted-content" @default.
- W2950263886 hasAuthorship W2950263886A5013856193 @default.
- W2950263886 hasConcept C104317684 @default.
- W2950263886 hasConcept C114614502 @default.
- W2950263886 hasConcept C117220453 @default.
- W2950263886 hasConcept C121332964 @default.
- W2950263886 hasConcept C130432447 @default.
- W2950263886 hasConcept C134306372 @default.
- W2950263886 hasConcept C138187205 @default.
- W2950263886 hasConcept C177846678 @default.
- W2950263886 hasConcept C179603306 @default.
- W2950263886 hasConcept C185592680 @default.
- W2950263886 hasConcept C202444582 @default.
- W2950263886 hasConcept C24890656 @default.
- W2950263886 hasConcept C2524010 @default.
- W2950263886 hasConcept C2775997480 @default.
- W2950263886 hasConcept C33923547 @default.
- W2950263886 hasConcept C39290043 @default.
- W2950263886 hasConcept C43809302 @default.
- W2950263886 hasConcept C54486226 @default.
- W2950263886 hasConcept C55493867 @default.
- W2950263886 hasConcept C5961521 @default.
- W2950263886 hasConcept C73373263 @default.
- W2950263886 hasConcept C75280867 @default.
- W2950263886 hasConcept C84597430 @default.
- W2950263886 hasConcept C90685605 @default.
- W2950263886 hasConceptScore W2950263886C104317684 @default.
- W2950263886 hasConceptScore W2950263886C114614502 @default.
- W2950263886 hasConceptScore W2950263886C117220453 @default.
- W2950263886 hasConceptScore W2950263886C121332964 @default.
- W2950263886 hasConceptScore W2950263886C130432447 @default.
- W2950263886 hasConceptScore W2950263886C134306372 @default.
- W2950263886 hasConceptScore W2950263886C138187205 @default.
- W2950263886 hasConceptScore W2950263886C177846678 @default.
- W2950263886 hasConceptScore W2950263886C179603306 @default.
- W2950263886 hasConceptScore W2950263886C185592680 @default.
- W2950263886 hasConceptScore W2950263886C202444582 @default.
- W2950263886 hasConceptScore W2950263886C24890656 @default.
- W2950263886 hasConceptScore W2950263886C2524010 @default.
- W2950263886 hasConceptScore W2950263886C2775997480 @default.
- W2950263886 hasConceptScore W2950263886C33923547 @default.
- W2950263886 hasConceptScore W2950263886C39290043 @default.
- W2950263886 hasConceptScore W2950263886C43809302 @default.
- W2950263886 hasConceptScore W2950263886C54486226 @default.
- W2950263886 hasConceptScore W2950263886C55493867 @default.
- W2950263886 hasConceptScore W2950263886C5961521 @default.
- W2950263886 hasConceptScore W2950263886C73373263 @default.
- W2950263886 hasConceptScore W2950263886C75280867 @default.
- W2950263886 hasConceptScore W2950263886C84597430 @default.
- W2950263886 hasConceptScore W2950263886C90685605 @default.
- W2950263886 hasLocation W29502638861 @default.
- W2950263886 hasOpenAccess W2950263886 @default.
- W2950263886 hasPrimaryLocation W29502638861 @default.
- W2950263886 hasRelatedWork W1485578910 @default.
- W2950263886 hasRelatedWork W1565893627 @default.
- W2950263886 hasRelatedWork W1625619465 @default.
- W2950263886 hasRelatedWork W1646720102 @default.
- W2950263886 hasRelatedWork W190461111 @default.
- W2950263886 hasRelatedWork W1917585208 @default.
- W2950263886 hasRelatedWork W1968390268 @default.
- W2950263886 hasRelatedWork W198236739 @default.
- W2950263886 hasRelatedWork W2012309916 @default.
- W2950263886 hasRelatedWork W2054872449 @default.
- W2950263886 hasRelatedWork W2149551385 @default.
- W2950263886 hasRelatedWork W2521460247 @default.
- W2950263886 hasRelatedWork W2585393609 @default.
- W2950263886 hasRelatedWork W2888171896 @default.
- W2950263886 hasRelatedWork W2963073409 @default.
- W2950263886 hasRelatedWork W2963531992 @default.
- W2950263886 hasRelatedWork W2991635955 @default.
- W2950263886 hasRelatedWork W3012854803 @default.
- W2950263886 hasRelatedWork W3035938573 @default.
- W2950263886 hasRelatedWork W3105033236 @default.
- W2950263886 isParatext "false" @default.
- W2950263886 isRetracted "false" @default.
- W2950263886 magId "2950263886" @default.
- W2950263886 workType "article" @default.