Matches in SemOpenAlex for { <https://semopenalex.org/work/W3199666987> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W3199666987 endingPage "421" @default.
- W3199666987 startingPage "381" @default.
- W3199666987 abstract "Gross and Siebert developed a program for constructing in arbitrary dimension a mirror family to a log Calabi--Yau pair $(X,D)$, consisting of a smooth projective variety $X$ with a normal-crossing anti-canonical divisor $D$ in $X$. In this paper, we provide an algorithm to practically compute explicit equations of the mirror family in the case when $X$ is obtained as a blow-up of a toric variety along hypersurfaces in its toric boundary, and $D$ is the strict transform of the toric boundary. The main ingredient is ``the heart of the canonical wall structure'' associated to such pairs $(X,D)$, which is constructed purely combinatorially, following our previous work with Mark Gross. In the case when we blow up a single hypersurface we show that our results agree with previous results computed symplectically by Aroux--Abouzaid--Katzarkov. In the situation when the locus of blow-up is formed by more than a single hypersurface, due to infinitely many walls interacting, writing the equations becomes significantly more challenging. We provide the first examples of explicit equations for mirror families in such situations." @default.
- W3199666987 created "2021-09-27" @default.
- W3199666987 creator A5030536437 @default.
- W3199666987 date "2023-04-11" @default.
- W3199666987 modified "2023-09-26" @default.
- W3199666987 title "Equations of mirrors to log Calabi–Yau pairs via the heart of canonical wall structures" @default.
- W3199666987 cites W1663061478 @default.
- W3199666987 cites W1976677460 @default.
- W3199666987 cites W2067885359 @default.
- W3199666987 cites W2069308153 @default.
- W3199666987 cites W2145899333 @default.
- W3199666987 cites W2154785235 @default.
- W3199666987 cites W2513470465 @default.
- W3199666987 cites W3099082709 @default.
- W3199666987 cites W3100215086 @default.
- W3199666987 cites W3107020517 @default.
- W3199666987 cites W4251006472 @default.
- W3199666987 cites W4312077436 @default.
- W3199666987 cites W3103324632 @default.
- W3199666987 doi "https://doi.org/10.1017/s030500412300021x" @default.
- W3199666987 hasPublicationYear "2023" @default.
- W3199666987 type Work @default.
- W3199666987 sameAs 3199666987 @default.
- W3199666987 citedByCount "1" @default.
- W3199666987 countsByYear W31996669872023 @default.
- W3199666987 crossrefType "journal-article" @default.
- W3199666987 hasAuthorship W3199666987A5030536437 @default.
- W3199666987 hasBestOaLocation W31996669871 @default.
- W3199666987 hasConcept C105795698 @default.
- W3199666987 hasConcept C114410712 @default.
- W3199666987 hasConcept C134306372 @default.
- W3199666987 hasConcept C136197465 @default.
- W3199666987 hasConcept C158260368 @default.
- W3199666987 hasConcept C202444582 @default.
- W3199666987 hasConcept C203492994 @default.
- W3199666987 hasConcept C33676613 @default.
- W3199666987 hasConcept C33923547 @default.
- W3199666987 hasConcept C62354387 @default.
- W3199666987 hasConceptScore W3199666987C105795698 @default.
- W3199666987 hasConceptScore W3199666987C114410712 @default.
- W3199666987 hasConceptScore W3199666987C134306372 @default.
- W3199666987 hasConceptScore W3199666987C136197465 @default.
- W3199666987 hasConceptScore W3199666987C158260368 @default.
- W3199666987 hasConceptScore W3199666987C202444582 @default.
- W3199666987 hasConceptScore W3199666987C203492994 @default.
- W3199666987 hasConceptScore W3199666987C33676613 @default.
- W3199666987 hasConceptScore W3199666987C33923547 @default.
- W3199666987 hasConceptScore W3199666987C62354387 @default.
- W3199666987 hasIssue "2" @default.
- W3199666987 hasLocation W31996669871 @default.
- W3199666987 hasLocation W31996669872 @default.
- W3199666987 hasOpenAccess W3199666987 @default.
- W3199666987 hasPrimaryLocation W31996669871 @default.
- W3199666987 hasRelatedWork W1558732593 @default.
- W3199666987 hasRelatedWork W1600062928 @default.
- W3199666987 hasRelatedWork W181748352 @default.
- W3199666987 hasRelatedWork W2775284184 @default.
- W3199666987 hasRelatedWork W2989392862 @default.
- W3199666987 hasRelatedWork W3045573205 @default.
- W3199666987 hasRelatedWork W3092902646 @default.
- W3199666987 hasRelatedWork W4287779159 @default.
- W3199666987 hasRelatedWork W4298311434 @default.
- W3199666987 hasRelatedWork W4301236428 @default.
- W3199666987 hasVolume "175" @default.
- W3199666987 isParatext "false" @default.
- W3199666987 isRetracted "false" @default.
- W3199666987 magId "3199666987" @default.
- W3199666987 workType "article" @default.