FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1988596207> ?p ?o ?g. }

• W1988596207 endingPage "210" @default.
• W1988596207 startingPage "189" @default.
• W1988596207 abstract "Tropical algebraic geometry is the geometry of the tropical semiring (ℝ, min, +). The theory of total positivity is a natural generalization of the study of matrices with all minors positive. In this paper we introduce the totally positive part of the tropicalization of an arbitrary affine variety, an object which has the structure of a polyhedral fan. We then investigate the case of the Grassmannian, denoting the resulting fan Trop+ Grk,n. We show that Trop+ Gr2,n is the Stanley-Pitman fan, which is combinatorially the fan dual to the (type An−3) associahedron, and that Trop+ Gr3,6 and Trop+ Gr3,7 are closely related to the fans dual to the types D4 and E6 associahedra. These results are strikingly reminiscent of the results of Fomin and Zelevinsky, and Scott, who showed that the Grassmannian has a natural cluster algebra structure which is of types An−3, D4, and E6 for Gr2,n, Gr3,6, and Gr3,7. We suggest a general conjecture about the positive part of the tropicalization of a cluster algebra." @default.
• W1988596207 created "2016-06-24" @default.
• W1988596207 creator A5021128761 @default.
• W1988596207 creator A5087484791 @default.
• W1988596207 date "2005-09-01" @default.
• W1988596207 modified "2023-10-18" @default.
• W1988596207 title "The Tropical Totally Positive Grassmannian" @default.
• W1988596207 cites W1537957332 @default.
• W1988596207 cites W1813685111 @default.
• W1988596207 cites W1970803824 @default.
• W1988596207 cites W1988429563 @default.
• W1988596207 cites W1989001889 @default.
• W1988596207 cites W1998552287 @default.
• W1988596207 cites W2004791166 @default.
• W1988596207 cites W2017408364 @default.
• W1988596207 cites W2054663063 @default.
• W1988596207 cites W2079988604 @default.
• W1988596207 cites W2091216084 @default.
• W1988596207 cites W2126899749 @default.
• W1988596207 cites W217710249 @default.
• W1988596207 cites W2499891286 @default.
• W1988596207 cites W3100741585 @default.
• W1988596207 doi "https://doi.org/10.1007/s10801-005-2513-3" @default.
• W1988596207 hasPublicationYear "2005" @default.
• W1988596207 type Work @default.
• W1988596207 sameAs 1988596207 @default.
• W1988596207 citedByCount "108" @default.
• W1988596207 countsByYear W19885962072012 @default.
• W1988596207 countsByYear W19885962072013 @default.
• W1988596207 countsByYear W19885962072014 @default.
• W1988596207 countsByYear W19885962072015 @default.
• W1988596207 countsByYear W19885962072016 @default.
• W1988596207 countsByYear W19885962072018 @default.
• W1988596207 countsByYear W19885962072019 @default.
• W1988596207 countsByYear W19885962072020 @default.
• W1988596207 countsByYear W19885962072021 @default.
• W1988596207 countsByYear W19885962072022 @default.
• W1988596207 countsByYear W19885962072023 @default.
• W1988596207 crossrefType "journal-article" @default.
• W1988596207 hasAuthorship W1988596207A5021128761 @default.
• W1988596207 hasAuthorship W1988596207A5087484791 @default.
• W1988596207 hasBestOaLocation W19885962071 @default.
• W1988596207 hasConcept C105795698 @default.
• W1988596207 hasConcept C114614502 @default.
• W1988596207 hasConcept C121332964 @default.
• W1988596207 hasConcept C121864883 @default.
• W1988596207 hasConcept C134306372 @default.
• W1988596207 hasConcept C136119220 @default.
• W1988596207 hasConcept C136197465 @default.
• W1988596207 hasConcept C138885662 @default.
• W1988596207 hasConcept C162929932 @default.
• W1988596207 hasConcept C165879259 @default.
• W1988596207 hasConcept C169843257 @default.
• W1988596207 hasConcept C177148314 @default.
• W1988596207 hasConcept C18903297 @default.
• W1988596207 hasConcept C202444582 @default.
• W1988596207 hasConcept C202652594 @default.
• W1988596207 hasConcept C2777299769 @default.
• W1988596207 hasConcept C2780980858 @default.
• W1988596207 hasConcept C2780990831 @default.
• W1988596207 hasConcept C2781238097 @default.
• W1988596207 hasConcept C33923547 @default.
• W1988596207 hasConcept C41895202 @default.
• W1988596207 hasConcept C51329190 @default.
• W1988596207 hasConcept C54643580 @default.
• W1988596207 hasConcept C68363185 @default.
• W1988596207 hasConcept C86803240 @default.
• W1988596207 hasConceptScore W1988596207C105795698 @default.
• W1988596207 hasConceptScore W1988596207C114614502 @default.
• W1988596207 hasConceptScore W1988596207C121332964 @default.
• W1988596207 hasConceptScore W1988596207C121864883 @default.
• W1988596207 hasConceptScore W1988596207C134306372 @default.
• W1988596207 hasConceptScore W1988596207C136119220 @default.
• W1988596207 hasConceptScore W1988596207C136197465 @default.
• W1988596207 hasConceptScore W1988596207C138885662 @default.
• W1988596207 hasConceptScore W1988596207C162929932 @default.
• W1988596207 hasConceptScore W1988596207C165879259 @default.
• W1988596207 hasConceptScore W1988596207C169843257 @default.
• W1988596207 hasConceptScore W1988596207C177148314 @default.
• W1988596207 hasConceptScore W1988596207C18903297 @default.
• W1988596207 hasConceptScore W1988596207C202444582 @default.
• W1988596207 hasConceptScore W1988596207C202652594 @default.
• W1988596207 hasConceptScore W1988596207C2777299769 @default.
• W1988596207 hasConceptScore W1988596207C2780980858 @default.
• W1988596207 hasConceptScore W1988596207C2780990831 @default.
• W1988596207 hasConceptScore W1988596207C2781238097 @default.
• W1988596207 hasConceptScore W1988596207C33923547 @default.
• W1988596207 hasConceptScore W1988596207C41895202 @default.
• W1988596207 hasConceptScore W1988596207C51329190 @default.
• W1988596207 hasConceptScore W1988596207C54643580 @default.
• W1988596207 hasConceptScore W1988596207C68363185 @default.
• W1988596207 hasConceptScore W1988596207C86803240 @default.
• W1988596207 hasIssue "2" @default.
• W1988596207 hasLocation W19885962071 @default.
• W1988596207 hasLocation W19885962072 @default.
• W1988596207 hasLocation W19885962073 @default.
• W1988596207 hasOpenAccess W1988596207 @default.
• W1988596207 hasPrimaryLocation W19885962071 @default.

• next