Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313258794> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4313258794 abstract "Here, I study the problem of classification of non-split supermanifolds having as retract the split supermanifold $(M,Omega)$, where $Omega$ is the sheaf of holomorphic forms on a given complex manifold $M$ of dimension $> 1$. I propose a general construction associating with any $d$-closed $(1,1)$-form $omega$ on $M$ a supermanifold with retract $(M,Omega)$ which is non-split whenever the Dolbeault class of $omega$ is non-zero. In particular, this gives a non-empty family of non-split supermanifolds for any flag manifold $Mne mathbb{CP}^1$. In the case where $M$ is an irreducible compact Hermitian symmetric space, I get a complete classification of non-split supermanifolds with retract $(M,Omega)$. For each of these supermanifolds, the 0- and 1-cohomology with values in the tangent sheaf are calculated. As an example, I study the $Pi$-symmetric super-Grassmannians introduced by Yu. Manin." @default.
- W4313258794 created "2023-01-06" @default.
- W4313258794 creator A5013414436 @default.
- W4313258794 date "2022-12-21" @default.
- W4313258794 modified "2023-10-14" @default.
- W4313258794 title "Non-split supermanifolds associated with the cotangent bundle" @default.
- W4313258794 doi "https://doi.org/10.46298/cm.9613" @default.
- W4313258794 hasPublicationYear "2022" @default.
- W4313258794 type Work @default.
- W4313258794 citedByCount "0" @default.
- W4313258794 crossrefType "journal-article" @default.
- W4313258794 hasAuthorship W4313258794A5013414436 @default.
- W4313258794 hasBestOaLocation W43132587941 @default.
- W4313258794 hasConcept C12089564 @default.
- W4313258794 hasConcept C121332964 @default.
- W4313258794 hasConcept C121451207 @default.
- W4313258794 hasConcept C127413603 @default.
- W4313258794 hasConcept C1432948 @default.
- W4313258794 hasConcept C178009071 @default.
- W4313258794 hasConcept C195065555 @default.
- W4313258794 hasConcept C202444582 @default.
- W4313258794 hasConcept C204575570 @default.
- W4313258794 hasConcept C2524010 @default.
- W4313258794 hasConcept C2776055716 @default.
- W4313258794 hasConcept C2779557605 @default.
- W4313258794 hasConcept C33923547 @default.
- W4313258794 hasConcept C4017995 @default.
- W4313258794 hasConcept C529865628 @default.
- W4313258794 hasConcept C62520636 @default.
- W4313258794 hasConcept C72738302 @default.
- W4313258794 hasConcept C78519656 @default.
- W4313258794 hasConcept C78606066 @default.
- W4313258794 hasConcept C7979169 @default.
- W4313258794 hasConcept C93067474 @default.
- W4313258794 hasConceptScore W4313258794C12089564 @default.
- W4313258794 hasConceptScore W4313258794C121332964 @default.
- W4313258794 hasConceptScore W4313258794C121451207 @default.
- W4313258794 hasConceptScore W4313258794C127413603 @default.
- W4313258794 hasConceptScore W4313258794C1432948 @default.
- W4313258794 hasConceptScore W4313258794C178009071 @default.
- W4313258794 hasConceptScore W4313258794C195065555 @default.
- W4313258794 hasConceptScore W4313258794C202444582 @default.
- W4313258794 hasConceptScore W4313258794C204575570 @default.
- W4313258794 hasConceptScore W4313258794C2524010 @default.
- W4313258794 hasConceptScore W4313258794C2776055716 @default.
- W4313258794 hasConceptScore W4313258794C2779557605 @default.
- W4313258794 hasConceptScore W4313258794C33923547 @default.
- W4313258794 hasConceptScore W4313258794C4017995 @default.
- W4313258794 hasConceptScore W4313258794C529865628 @default.
- W4313258794 hasConceptScore W4313258794C62520636 @default.
- W4313258794 hasConceptScore W4313258794C72738302 @default.
- W4313258794 hasConceptScore W4313258794C78519656 @default.
- W4313258794 hasConceptScore W4313258794C78606066 @default.
- W4313258794 hasConceptScore W4313258794C7979169 @default.
- W4313258794 hasConceptScore W4313258794C93067474 @default.
- W4313258794 hasLocation W43132587941 @default.
- W4313258794 hasLocation W43132587942 @default.
- W4313258794 hasOpenAccess W4313258794 @default.
- W4313258794 hasPrimaryLocation W43132587941 @default.
- W4313258794 hasRelatedWork W15651418 @default.
- W4313258794 hasRelatedWork W1985139661 @default.
- W4313258794 hasRelatedWork W1986292095 @default.
- W4313258794 hasRelatedWork W2016732580 @default.
- W4313258794 hasRelatedWork W2082798820 @default.
- W4313258794 hasRelatedWork W2311187085 @default.
- W4313258794 hasRelatedWork W2952317112 @default.
- W4313258794 hasRelatedWork W4229735181 @default.
- W4313258794 hasRelatedWork W4281649748 @default.
- W4313258794 hasRelatedWork W4313258794 @default.
- W4313258794 hasVolume "Volume 30 (2022), Issue 3..." @default.
- W4313258794 isParatext "false" @default.
- W4313258794 isRetracted "false" @default.
- W4313258794 workType "article" @default.