Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one
DC Field | Value | Language |
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dc.contributor.author | DongSeon Hwang | - |
dc.contributor.author | Shin-young Kim | - |
dc.contributor.author | Park, Kyeong-Dong | - |
dc.date.accessioned | 2024-01-05T22:01:06Z | - |
dc.date.available | 2024-01-05T22:01:06Z | - |
dc.date.created | 2023-08-28 | - |
dc.date.issued | 2023-09 | - |
dc.identifier.issn | 0232-704X | - |
dc.identifier.uri | https://pr.ibs.re.kr/handle/8788114/14487 | - |
dc.description.abstract | A horospherical variety is a normal G -variety such that a connected reductive algebraic group G acts with an open orbit isomorphic to a torus bundle over a rational homogeneous manifold. The projective horospherical manifolds of Picard number one are classified by Pasquier, and it turned out that the automorphism groups of all nonhomogeneous ones are non-reductive, which implies that they admit no K & auml;hler-Einstein metrics. As a numerical measure of the extent to which a Fano manifold is close to be K & auml;hler-Einstein, we compute the greatest Ricci lower bounds of projective horospherical manifolds of Picard number one using the barycenter of each moment polytope with respect to the Duistermaat-Heckman measure based on a recent work of Delcroix and Hultgren. In particular, the greatest Ricci lower bound of the odd symplectic Grassmannian SGr(n, 2n + 1) can be arbitrarily close to zero as n grows. | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER | - |
dc.title | Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.wosid | 001044757100001 | - |
dc.identifier.scopusid | 2-s2.0-85167817995 | - |
dc.identifier.rimsid | 81554 | - |
dc.contributor.affiliatedAuthor | DongSeon Hwang | - |
dc.contributor.affiliatedAuthor | Shin-young Kim | - |
dc.identifier.doi | 10.1007/s10455-023-09915-y | - |
dc.identifier.bibliographicCitation | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, v.64, no.2 | - |
dc.relation.isPartOf | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | - |
dc.citation.title | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | - |
dc.citation.volume | 64 | - |
dc.citation.number | 2 | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | KAHLER-EINSTEIN METRICS | - |
dc.subject.keywordPlus | K-STABILITY | - |
dc.subject.keywordPlus | HOMOGENEOUS SPACES | - |
dc.subject.keywordPlus | FANO MANIFOLDS | - |
dc.subject.keywordPlus | VARIETIES | - |
dc.subject.keywordPlus | CURVATURE | - |
dc.subject.keywordPlus | EMBEDDINGS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | RIGIDITY | - |
dc.subject.keywordPlus | LIMITS | - |
dc.subject.keywordAuthor | Odd symplectic Grassmannians | - |
dc.subject.keywordAuthor | Greatest Ricci lower bounds | - |
dc.subject.keywordAuthor | Horospherical varieties | - |
dc.subject.keywordAuthor | Algebraic moment polytopes | - |
dc.subject.keywordAuthor | Kahler-Einstein metrics | - |