Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313447119> ?p ?o ?g. }
Showing items 1 to 47 of
47
with 100 items per page.
- W4313447119 abstract "Suppose $C$ is a smooth projective curve of genus 1 over a perfect field $F$, and $E$ is its Jacobian. In the case that $C$ has no $F$-rational points, so that $C$ and $E$ are not isomorphic, $C$ is an $E$-torsor with a class $delta(C)in H^1(text{Gal}(bar F/F), E(bar F))$. Then $delta(C)$ determines a class $beta in text{Br}(E)/text{Br}(F)$ and there is a Fourier-Mukai equivalence of derived categories of (twisted) coherent sheaves $mathcal D(C) xrightarrow{cong} mathcal D(E, beta^{-1})$. We generalize this result to higher dimensions; namely, we prove it also for torsors over abelian varieties." @default.
- W4313447119 created "2023-01-06" @default.
- W4313447119 creator A5006628276 @default.
- W4313447119 creator A5029777782 @default.
- W4313447119 date "2022-12-29" @default.
- W4313447119 modified "2023-09-30" @default.
- W4313447119 title "Derived categories of curves of genus one and torsors over abelian varieties" @default.
- W4313447119 doi "https://doi.org/10.48550/arxiv.2212.14497" @default.
- W4313447119 hasPublicationYear "2022" @default.
- W4313447119 type Work @default.
- W4313447119 citedByCount "0" @default.
- W4313447119 crossrefType "posted-content" @default.
- W4313447119 hasAuthorship W4313447119A5006628276 @default.
- W4313447119 hasAuthorship W4313447119A5029777782 @default.
- W4313447119 hasBestOaLocation W43134471191 @default.
- W4313447119 hasConcept C114614502 @default.
- W4313447119 hasConcept C136170076 @default.
- W4313447119 hasConcept C157369684 @default.
- W4313447119 hasConcept C202444582 @default.
- W4313447119 hasConcept C33923547 @default.
- W4313447119 hasConcept C59822182 @default.
- W4313447119 hasConcept C86803240 @default.
- W4313447119 hasConcept C9652623 @default.
- W4313447119 hasConceptScore W4313447119C114614502 @default.
- W4313447119 hasConceptScore W4313447119C136170076 @default.
- W4313447119 hasConceptScore W4313447119C157369684 @default.
- W4313447119 hasConceptScore W4313447119C202444582 @default.
- W4313447119 hasConceptScore W4313447119C33923547 @default.
- W4313447119 hasConceptScore W4313447119C59822182 @default.
- W4313447119 hasConceptScore W4313447119C86803240 @default.
- W4313447119 hasConceptScore W4313447119C9652623 @default.
- W4313447119 hasLocation W43134471191 @default.
- W4313447119 hasOpenAccess W4313447119 @default.
- W4313447119 hasPrimaryLocation W43134471191 @default.
- W4313447119 hasRelatedWork W1522036010 @default.
- W4313447119 hasRelatedWork W1821847917 @default.
- W4313447119 hasRelatedWork W1978042415 @default.
- W4313447119 hasRelatedWork W2006990530 @default.
- W4313447119 hasRelatedWork W2021494526 @default.
- W4313447119 hasRelatedWork W2135148858 @default.
- W4313447119 hasRelatedWork W2963456550 @default.
- W4313447119 hasRelatedWork W3126773016 @default.
- W4313447119 hasRelatedWork W4312108228 @default.
- W4313447119 hasRelatedWork W776536739 @default.
- W4313447119 isParatext "false" @default.
- W4313447119 isRetracted "false" @default.
- W4313447119 workType "article" @default.