Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951847098> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2951847098 abstract "The classical statement of Cayley-Salmon that there are 27 lines on every smooth cubic surface in P^3 fails to hold under tropicalization: a tropical cubic surface in TP^3 often contains infinitely many tropical lines. Under mild genericity assumptions, we show that when embedded using the Eckardt triangles in the anticanonical system, tropical cubic del Pezzo surfaces contain exactly 27 tropical lines. In the non-generic case, which we identify explicitly, we find up to 27 extra lines, no multiple of which lifts to a curve on the cubic surface. We realize the moduli space of stable anticanonical tropical cubics as a four-dimensional fan in R^40 with an action of the Weyl group W(E_6). In the absence of Eckardt points, we show the combinatorial types of these tropical surfaces are determined by the boundary arrangement of 27 metric trees corresponding to the tropicalization of the classical 27 lines on the smooth algebraic cubic surfaces. Tropical convexity and the combinatorics of the root system E_6 play a central role in our analysis." @default.
- W2951847098 created "2019-06-27" @default.
- W2951847098 creator A5014263010 @default.
- W2951847098 creator A5017630818 @default.
- W2951847098 date "2019-06-19" @default.
- W2951847098 modified "2023-10-06" @default.
- W2951847098 title "Anticanonical tropical cubic del Pezzos contain exactly 27 lines" @default.
- W2951847098 cites W1495088152 @default.
- W2951847098 cites W1496208319 @default.
- W2951847098 cites W1633541177 @default.
- W2951847098 cites W1812702127 @default.
- W2951847098 cites W1820537784 @default.
- W2951847098 cites W1950430922 @default.
- W2951847098 cites W1974090638 @default.
- W2951847098 cites W1982118406 @default.
- W2951847098 cites W1988098722 @default.
- W2951847098 cites W2001837443 @default.
- W2951847098 cites W2009239874 @default.
- W2951847098 cites W2016706290 @default.
- W2951847098 cites W2021636827 @default.
- W2951847098 cites W2033172904 @default.
- W2951847098 cites W2079988604 @default.
- W2951847098 cites W2121890126 @default.
- W2951847098 cites W2135606603 @default.
- W2951847098 cites W2171942149 @default.
- W2951847098 cites W2240922184 @default.
- W2951847098 cites W2606357649 @default.
- W2951847098 cites W2942957439 @default.
- W2951847098 cites W2963048153 @default.
- W2951847098 cites W2963155900 @default.
- W2951847098 cites W2964213046 @default.
- W2951847098 cites W3038127566 @default.
- W2951847098 cites W3099121847 @default.
- W2951847098 cites W3105065586 @default.
- W2951847098 cites W3194975564 @default.
- W2951847098 hasPublicationYear "2019" @default.
- W2951847098 type Work @default.
- W2951847098 sameAs 2951847098 @default.
- W2951847098 citedByCount "5" @default.
- W2951847098 countsByYear W29518470982019 @default.
- W2951847098 countsByYear W29518470982020 @default.
- W2951847098 countsByYear W29518470982022 @default.
- W2951847098 crossrefType "posted-content" @default.
- W2951847098 hasAuthorship W2951847098A5014263010 @default.
- W2951847098 hasAuthorship W2951847098A5017630818 @default.
- W2951847098 hasConcept C114614502 @default.
- W2951847098 hasConcept C134306372 @default.
- W2951847098 hasConcept C162324750 @default.
- W2951847098 hasConcept C176217482 @default.
- W2951847098 hasConcept C194254661 @default.
- W2951847098 hasConcept C202444582 @default.
- W2951847098 hasConcept C21547014 @default.
- W2951847098 hasConcept C2524010 @default.
- W2951847098 hasConcept C2776799497 @default.
- W2951847098 hasConcept C33923547 @default.
- W2951847098 hasConcept C62354387 @default.
- W2951847098 hasConcept C69653121 @default.
- W2951847098 hasConcept C73373263 @default.
- W2951847098 hasConcept C9376300 @default.
- W2951847098 hasConceptScore W2951847098C114614502 @default.
- W2951847098 hasConceptScore W2951847098C134306372 @default.
- W2951847098 hasConceptScore W2951847098C162324750 @default.
- W2951847098 hasConceptScore W2951847098C176217482 @default.
- W2951847098 hasConceptScore W2951847098C194254661 @default.
- W2951847098 hasConceptScore W2951847098C202444582 @default.
- W2951847098 hasConceptScore W2951847098C21547014 @default.
- W2951847098 hasConceptScore W2951847098C2524010 @default.
- W2951847098 hasConceptScore W2951847098C2776799497 @default.
- W2951847098 hasConceptScore W2951847098C33923547 @default.
- W2951847098 hasConceptScore W2951847098C62354387 @default.
- W2951847098 hasConceptScore W2951847098C69653121 @default.
- W2951847098 hasConceptScore W2951847098C73373263 @default.
- W2951847098 hasConceptScore W2951847098C9376300 @default.
- W2951847098 hasLocation W29518470981 @default.
- W2951847098 hasOpenAccess W2951847098 @default.
- W2951847098 hasPrimaryLocation W29518470981 @default.
- W2951847098 hasRelatedWork W1525508981 @default.
- W2951847098 hasRelatedWork W1677761602 @default.
- W2951847098 hasRelatedWork W174037002 @default.
- W2951847098 hasRelatedWork W1826126164 @default.
- W2951847098 hasRelatedWork W2081251488 @default.
- W2951847098 hasRelatedWork W2576898190 @default.
- W2951847098 hasRelatedWork W2734663864 @default.
- W2951847098 hasRelatedWork W2953034647 @default.
- W2951847098 hasRelatedWork W2963155900 @default.
- W2951847098 hasRelatedWork W2981457145 @default.
- W2951847098 hasRelatedWork W3027289115 @default.
- W2951847098 hasRelatedWork W3028810403 @default.
- W2951847098 hasRelatedWork W3039056007 @default.
- W2951847098 hasRelatedWork W3100202526 @default.
- W2951847098 hasRelatedWork W3101026266 @default.
- W2951847098 hasRelatedWork W3105829344 @default.
- W2951847098 hasRelatedWork W3106226966 @default.
- W2951847098 hasRelatedWork W3114518786 @default.
- W2951847098 hasRelatedWork W3119073040 @default.
- W2951847098 hasRelatedWork W3126534955 @default.
- W2951847098 isParatext "false" @default.
- W2951847098 isRetracted "false" @default.
- W2951847098 magId "2951847098" @default.
- W2951847098 workType "article" @default.