Matches in SemOpenAlex for { <https://semopenalex.org/work/W2560325387> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2560325387 abstract "For a connected smooth projective curve $X$ of genus $g$, global sections of any line bundle $L$ with $deg(L) geq 2g+ 1$ 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 $deg(L) geq 3g-1$, 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.
- W2560325387 created "2016-12-16" @default.
- W2560325387 creator A5004592971 @default.
- W2560325387 creator A5047549549 @default.
- W2560325387 date "2016-12-04" @default.
- W2560325387 modified "2023-10-16" @default.
- W2560325387 title "Effective faithful tropicalizations associated to linear systems on curves" @default.
- W2560325387 cites W1549562143 @default.
- W2560325387 cites W1560079568 @default.
- W2560325387 cites W1910462596 @default.
- W2560325387 cites W1974286590 @default.
- W2560325387 cites W2018639505 @default.
- W2560325387 cites W2058823269 @default.
- W2560325387 cites W2059110368 @default.
- W2560325387 cites W2072434200 @default.
- W2560325387 cites W2072802583 @default.
- W2560325387 cites W2091375295 @default.
- W2560325387 cites W2099082421 @default.
- W2560325387 cites W2127236405 @default.
- W2560325387 cites W2142533317 @default.
- W2560325387 cites W2255136811 @default.
- W2560325387 cites W2560370444 @default.
- W2560325387 cites W2963333830 @default.
- W2560325387 cites W2963388715 @default.
- W2560325387 cites W3099821033 @default.
- W2560325387 cites W3101113315 @default.
- W2560325387 cites W3101288187 @default.
- W2560325387 cites W3106492235 @default.
- W2560325387 cites W1590081428 @default.
- W2560325387 doi "https://doi.org/10.48550/arxiv.1612.01098" @default.
- W2560325387 hasPublicationYear "2016" @default.
- W2560325387 type Work @default.
- W2560325387 sameAs 2560325387 @default.
- W2560325387 citedByCount "2" @default.
- W2560325387 countsByYear W25603253872018 @default.
- W2560325387 countsByYear W25603253872020 @default.
- W2560325387 crossrefType "posted-content" @default.
- W2560325387 hasAuthorship W2560325387A5004592971 @default.
- W2560325387 hasAuthorship W2560325387A5047549549 @default.
- W2560325387 hasBestOaLocation W25603253871 @default.
- W2560325387 hasConcept C111919701 @default.
- W2560325387 hasConcept C115961682 @default.
- W2560325387 hasConcept C117220453 @default.
- W2560325387 hasConcept C134306372 @default.
- W2560325387 hasConcept C154945302 @default.
- W2560325387 hasConcept C157369684 @default.
- W2560325387 hasConcept C177846678 @default.
- W2560325387 hasConcept C202444582 @default.
- W2560325387 hasConcept C203701370 @default.
- W2560325387 hasConcept C2524010 @default.
- W2560325387 hasConcept C2778572836 @default.
- W2560325387 hasConcept C33923547 @default.
- W2560325387 hasConcept C34388435 @default.
- W2560325387 hasConcept C39290043 @default.
- W2560325387 hasConcept C41008148 @default.
- W2560325387 hasConcept C41608201 @default.
- W2560325387 hasConcept C59822182 @default.
- W2560325387 hasConcept C75280867 @default.
- W2560325387 hasConcept C86803240 @default.
- W2560325387 hasConcept C90685605 @default.
- W2560325387 hasConceptScore W2560325387C111919701 @default.
- W2560325387 hasConceptScore W2560325387C115961682 @default.
- W2560325387 hasConceptScore W2560325387C117220453 @default.
- W2560325387 hasConceptScore W2560325387C134306372 @default.
- W2560325387 hasConceptScore W2560325387C154945302 @default.
- W2560325387 hasConceptScore W2560325387C157369684 @default.
- W2560325387 hasConceptScore W2560325387C177846678 @default.
- W2560325387 hasConceptScore W2560325387C202444582 @default.
- W2560325387 hasConceptScore W2560325387C203701370 @default.
- W2560325387 hasConceptScore W2560325387C2524010 @default.
- W2560325387 hasConceptScore W2560325387C2778572836 @default.
- W2560325387 hasConceptScore W2560325387C33923547 @default.
- W2560325387 hasConceptScore W2560325387C34388435 @default.
- W2560325387 hasConceptScore W2560325387C39290043 @default.
- W2560325387 hasConceptScore W2560325387C41008148 @default.
- W2560325387 hasConceptScore W2560325387C41608201 @default.
- W2560325387 hasConceptScore W2560325387C59822182 @default.
- W2560325387 hasConceptScore W2560325387C75280867 @default.
- W2560325387 hasConceptScore W2560325387C86803240 @default.
- W2560325387 hasConceptScore W2560325387C90685605 @default.
- W2560325387 hasLocation W25603253871 @default.
- W2560325387 hasOpenAccess W2560325387 @default.
- W2560325387 hasPrimaryLocation W25603253871 @default.
- W2560325387 hasRelatedWork W1539294583 @default.
- W2560325387 hasRelatedWork W2003822979 @default.
- W2560325387 hasRelatedWork W2004938792 @default.
- W2560325387 hasRelatedWork W2015367641 @default.
- W2560325387 hasRelatedWork W2043309321 @default.
- W2560325387 hasRelatedWork W2047021422 @default.
- W2560325387 hasRelatedWork W2052614863 @default.
- W2560325387 hasRelatedWork W2054675443 @default.
- W2560325387 hasRelatedWork W2081124889 @default.
- W2560325387 hasRelatedWork W2964141497 @default.
- W2560325387 isParatext "false" @default.
- W2560325387 isRetracted "false" @default.
- W2560325387 magId "2560325387" @default.
- W2560325387 workType "article" @default.