Matches in SemOpenAlex for { <https://semopenalex.org/work/W4286233740> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4286233740 abstract "Let $M(d,chi)$ with $(d,chi)=1$ be the moduli space of semistable sheaves on $mathbb{P}^2$ supported on curves of degree $d$ and with Euler characteristic $chi$. The cohomology ring $H^*(M(d,chi),mathbb{Z})$ of $M(d,chi)$ is isomorphic to its Chow ring $A^*(M(d,chi))$ by Markman's result. W. Pi and J. Shen have described a minimal generating set of $A^*(M(d,chi))$ consisting of $3d-7$ generators, which they also showed to have no relation in $A^{geq d-2}(M(d,chi))$. We compute the two Betti numbers $b_{2(d-1)}$ and $b_{2d}$ of $M(d,chi)$ and as a corollary we show that the generators given by Pi-Shen have no relations in $A^{geq d-1}(M(d,chi))$ but do have three linearly independent relations in $A^d(M(d,chi))$." @default.
- W4286233740 created "2022-07-21" @default.
- W4286233740 creator A5012858566 @default.
- W4286233740 date "2022-07-16" @default.
- W4286233740 modified "2023-09-30" @default.
- W4286233740 title "Some Betti numbers of the moduli of 1-dimensional sheaves on $mathbb{P}^2$" @default.
- W4286233740 doi "https://doi.org/10.48550/arxiv.2207.08060" @default.
- W4286233740 hasPublicationYear "2022" @default.
- W4286233740 type Work @default.
- W4286233740 citedByCount "0" @default.
- W4286233740 crossrefType "posted-content" @default.
- W4286233740 hasAuthorship W4286233740A5012858566 @default.
- W4286233740 hasBestOaLocation W42862337401 @default.
- W4286233740 hasConcept C114614502 @default.
- W4286233740 hasConcept C121089165 @default.
- W4286233740 hasConcept C121332964 @default.
- W4286233740 hasConcept C129621563 @default.
- W4286233740 hasConcept C178790620 @default.
- W4286233740 hasConcept C185592680 @default.
- W4286233740 hasConcept C196433757 @default.
- W4286233740 hasConcept C202444582 @default.
- W4286233740 hasConcept C2780012671 @default.
- W4286233740 hasConcept C2780378348 @default.
- W4286233740 hasConcept C33923547 @default.
- W4286233740 hasConcept C62520636 @default.
- W4286233740 hasConcept C73373263 @default.
- W4286233740 hasConcept C78606066 @default.
- W4286233740 hasConceptScore W4286233740C114614502 @default.
- W4286233740 hasConceptScore W4286233740C121089165 @default.
- W4286233740 hasConceptScore W4286233740C121332964 @default.
- W4286233740 hasConceptScore W4286233740C129621563 @default.
- W4286233740 hasConceptScore W4286233740C178790620 @default.
- W4286233740 hasConceptScore W4286233740C185592680 @default.
- W4286233740 hasConceptScore W4286233740C196433757 @default.
- W4286233740 hasConceptScore W4286233740C202444582 @default.
- W4286233740 hasConceptScore W4286233740C2780012671 @default.
- W4286233740 hasConceptScore W4286233740C2780378348 @default.
- W4286233740 hasConceptScore W4286233740C33923547 @default.
- W4286233740 hasConceptScore W4286233740C62520636 @default.
- W4286233740 hasConceptScore W4286233740C73373263 @default.
- W4286233740 hasConceptScore W4286233740C78606066 @default.
- W4286233740 hasLocation W42862337401 @default.
- W4286233740 hasOpenAccess W4286233740 @default.
- W4286233740 hasPrimaryLocation W42862337401 @default.
- W4286233740 hasRelatedWork W1972523355 @default.
- W4286233740 hasRelatedWork W2008756936 @default.
- W4286233740 hasRelatedWork W2597372118 @default.
- W4286233740 hasRelatedWork W2941057315 @default.
- W4286233740 hasRelatedWork W2952360959 @default.
- W4286233740 hasRelatedWork W2987038571 @default.
- W4286233740 hasRelatedWork W3096711180 @default.
- W4286233740 hasRelatedWork W3134009522 @default.
- W4286233740 hasRelatedWork W4301510318 @default.
- W4286233740 hasRelatedWork W4302398553 @default.
- W4286233740 isParatext "false" @default.
- W4286233740 isRetracted "false" @default.
- W4286233740 workType "article" @default.