Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300771859> ?p ?o ?g. }
Showing items 1 to 54 of
54
with 100 items per page.
- W4300771859 abstract "Given a point z in P^1, let F(z) be the osculating flag to the rational normal curve at point z. The study of Schubert problems with respect to such flags F(z_1), F(z_2), ..., F(z_r) has been studied both classically and recently, especially when the points z_i are real. Since the rational normal curve has an action of PGL_2, it is natural to consider the points (z_1, ..., z_r) as living in the moduli space of r distinct point in P^1 -- the famous M_{0,r}. One can then ask to extend the results on Schubert intersections to the compactification bar{M}_{0,r}. The first part of this paper achieves this goal. We construct a flat, Cohen-Macaulay family over bar{M}_{0,r}, whose fibers over M_{0,r} are isomorphic to G(d,n) and, given partitions lambda_1, ..., lambda_r, we construct a flat Cohen-Macualay family over bar{M}_{0,r} whose fiber over (z_1, ..., z_r) in M_{0,r} is the intersection of the Schubert varieties indexed by lambda_i with respect to the osculating flags F(z_i). In the second part of the paper, we investigate the topology of the real points of our family, in the case that sum |lambda_i| = dim G(d,n). We show that our family is a finite covering space of bar{M}_{0,r}, and give an explicit CW decomposition of this cover whose faces are indexed by objects from the theory of Young tableaux." @default.
- W4300771859 created "2022-10-04" @default.
- W4300771859 creator A5021128761 @default.
- W4300771859 date "2012-09-24" @default.
- W4300771859 modified "2023-09-27" @default.
- W4300771859 title "Schubert problems with respect to osculating flags of stable rational curves" @default.
- W4300771859 doi "https://doi.org/10.48550/arxiv.1209.5409" @default.
- W4300771859 hasPublicationYear "2012" @default.
- W4300771859 type Work @default.
- W4300771859 citedByCount "0" @default.
- W4300771859 crossrefType "posted-content" @default.
- W4300771859 hasAuthorship W4300771859A5021128761 @default.
- W4300771859 hasBestOaLocation W43007718591 @default.
- W4300771859 hasConcept C114614502 @default.
- W4300771859 hasConcept C120665830 @default.
- W4300771859 hasConcept C121332964 @default.
- W4300771859 hasConcept C127413603 @default.
- W4300771859 hasConcept C146978453 @default.
- W4300771859 hasConcept C202444582 @default.
- W4300771859 hasConcept C2524010 @default.
- W4300771859 hasConcept C2778113609 @default.
- W4300771859 hasConcept C33923547 @default.
- W4300771859 hasConcept C40890689 @default.
- W4300771859 hasConcept C64543145 @default.
- W4300771859 hasConcept C73373263 @default.
- W4300771859 hasConceptScore W4300771859C114614502 @default.
- W4300771859 hasConceptScore W4300771859C120665830 @default.
- W4300771859 hasConceptScore W4300771859C121332964 @default.
- W4300771859 hasConceptScore W4300771859C127413603 @default.
- W4300771859 hasConceptScore W4300771859C146978453 @default.
- W4300771859 hasConceptScore W4300771859C202444582 @default.
- W4300771859 hasConceptScore W4300771859C2524010 @default.
- W4300771859 hasConceptScore W4300771859C2778113609 @default.
- W4300771859 hasConceptScore W4300771859C33923547 @default.
- W4300771859 hasConceptScore W4300771859C40890689 @default.
- W4300771859 hasConceptScore W4300771859C64543145 @default.
- W4300771859 hasConceptScore W4300771859C73373263 @default.
- W4300771859 hasLocation W43007718591 @default.
- W4300771859 hasLocation W43007718592 @default.
- W4300771859 hasOpenAccess W4300771859 @default.
- W4300771859 hasPrimaryLocation W43007718591 @default.
- W4300771859 hasRelatedWork W102756638 @default.
- W4300771859 hasRelatedWork W1927071250 @default.
- W4300771859 hasRelatedWork W1972523355 @default.
- W4300771859 hasRelatedWork W1979153357 @default.
- W4300771859 hasRelatedWork W2073994398 @default.
- W4300771859 hasRelatedWork W2117918982 @default.
- W4300771859 hasRelatedWork W2410897890 @default.
- W4300771859 hasRelatedWork W2963077663 @default.
- W4300771859 hasRelatedWork W2964202745 @default.
- W4300771859 hasRelatedWork W3102408541 @default.
- W4300771859 isParatext "false" @default.
- W4300771859 isRetracted "false" @default.
- W4300771859 workType "article" @default.