Matches in SemOpenAlex for { <https://semopenalex.org/work/W3177202904> ?p ?o ?g. }
- W3177202904 abstract "For a connected smooth projective curve $X$ of genus $g$, global sections of any line bundle $L$ with $°(L) geq 2g+ 1$ give an embedding of the curve into projective space. We consider an analogous statement for a Berkovich skeleton in nonarchimedean geometry, in which projective space is replaced by tropical projective space, and an embedding is replaced by a homeomorphism onto its image preserving integral structures (called a faithful tropicalization). Let $K$ be an algebraically closed field which is complete with respect to a non-trivial nonarchimedean value. Suppose that $X$ is defined over $K$ and has genus $g geq 2$ and that $Gamma$ is a skeleton (that is allowed to have ends) of the analytification $X^{mathrm{an}}$ of $X$ in the sense of Berkovich. We show that if $°(L) geq 3g-1$, then global sections of $L$ give a faithful tropicalization of $Gamma$ into tropical projective space. As an application, when $Y$ is a suitable affine curve, we describe the analytification $Y^{mathrm{an}}$ as the limit of tropicalizations of an effectively bounded degree." @default.
- W3177202904 created "2021-07-05" @default.
- W3177202904 creator A5004592971 @default.
- W3177202904 creator A5047549549 @default.
- W3177202904 date "2021-03-01" @default.
- W3177202904 modified "2023-10-14" @default.
- W3177202904 title "Effective faithful tropicalizations associated to linear systems on curves" @default.
- W3177202904 cites W112657252 @default.
- W3177202904 cites W1485445902 @default.
- W3177202904 cites W1534976569 @default.
- W3177202904 cites W1548944036 @default.
- W3177202904 cites W1549562143 @default.
- W3177202904 cites W1553761326 @default.
- W3177202904 cites W1560079568 @default.
- W3177202904 cites W1744288399 @default.
- W3177202904 cites W1910462596 @default.
- W3177202904 cites W1974286590 @default.
- W3177202904 cites W1997502503 @default.
- W3177202904 cites W2006315010 @default.
- W3177202904 cites W2018639505 @default.
- W3177202904 cites W2035591380 @default.
- W3177202904 cites W2036822603 @default.
- W3177202904 cites W2058823269 @default.
- W3177202904 cites W2059110368 @default.
- W3177202904 cites W2067929456 @default.
- W3177202904 cites W2072434200 @default.
- W3177202904 cites W2072802583 @default.
- W3177202904 cites W2083387674 @default.
- W3177202904 cites W2084309085 @default.
- W3177202904 cites W2091375295 @default.
- W3177202904 cites W2099082421 @default.
- W3177202904 cites W2117196919 @default.
- W3177202904 cites W2119087156 @default.
- W3177202904 cites W2127236405 @default.
- W3177202904 cites W2131440188 @default.
- W3177202904 cites W2142533317 @default.
- W3177202904 cites W2152316391 @default.
- W3177202904 cites W2154785235 @default.
- W3177202904 cites W2171942149 @default.
- W3177202904 cites W2255136811 @default.
- W3177202904 cites W2269474197 @default.
- W3177202904 cites W2345261175 @default.
- W3177202904 cites W2504050845 @default.
- W3177202904 cites W2796836074 @default.
- W3177202904 cites W2962868659 @default.
- W3177202904 cites W2963114720 @default.
- W3177202904 cites W2963333830 @default.
- W3177202904 cites W2963339332 @default.
- W3177202904 cites W2963344595 @default.
- W3177202904 cites W2963388715 @default.
- W3177202904 cites W2963486240 @default.
- W3177202904 cites W2963930306 @default.
- W3177202904 cites W3098885023 @default.
- W3177202904 cites W3099148546 @default.
- W3177202904 cites W3099821033 @default.
- W3177202904 cites W3101113315 @default.
- W3177202904 cites W3101288187 @default.
- W3177202904 cites W3101955079 @default.
- W3177202904 cites W3106492235 @default.
- W3177202904 cites W1590081428 @default.
- W3177202904 cites W2187616013 @default.
- W3177202904 doi "https://doi.org/10.1090/memo/1323" @default.
- W3177202904 hasPublicationYear "2021" @default.
- W3177202904 type Work @default.
- W3177202904 sameAs 3177202904 @default.
- W3177202904 citedByCount "2" @default.
- W3177202904 countsByYear W31772029042018 @default.
- W3177202904 countsByYear W31772029042022 @default.
- W3177202904 crossrefType "journal-article" @default.
- W3177202904 hasAuthorship W3177202904A5004592971 @default.
- W3177202904 hasAuthorship W3177202904A5047549549 @default.
- W3177202904 hasBestOaLocation W31772029041 @default.
- W3177202904 hasConcept C115961682 @default.
- W3177202904 hasConcept C134306372 @default.
- W3177202904 hasConcept C138885662 @default.
- W3177202904 hasConcept C154945302 @default.
- W3177202904 hasConcept C157369684 @default.
- W3177202904 hasConcept C177846678 @default.
- W3177202904 hasConcept C202444582 @default.
- W3177202904 hasConcept C203701370 @default.
- W3177202904 hasConcept C2778572836 @default.
- W3177202904 hasConcept C33923547 @default.
- W3177202904 hasConcept C34388435 @default.
- W3177202904 hasConcept C41008148 @default.
- W3177202904 hasConcept C41608201 @default.
- W3177202904 hasConcept C41895202 @default.
- W3177202904 hasConcept C59822182 @default.
- W3177202904 hasConcept C75280867 @default.
- W3177202904 hasConcept C86803240 @default.
- W3177202904 hasConcept C90685605 @default.
- W3177202904 hasConceptScore W3177202904C115961682 @default.
- W3177202904 hasConceptScore W3177202904C134306372 @default.
- W3177202904 hasConceptScore W3177202904C138885662 @default.
- W3177202904 hasConceptScore W3177202904C154945302 @default.
- W3177202904 hasConceptScore W3177202904C157369684 @default.
- W3177202904 hasConceptScore W3177202904C177846678 @default.
- W3177202904 hasConceptScore W3177202904C202444582 @default.
- W3177202904 hasConceptScore W3177202904C203701370 @default.
- W3177202904 hasConceptScore W3177202904C2778572836 @default.
- W3177202904 hasConceptScore W3177202904C33923547 @default.