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Geometric structures modeled after smooth projective horospherical varieties of Picard number one
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 임선희 | - |
dc.contributor.author | 김신영 | - |
dc.date.accessioned | 2017-07-14T00:42:25Z | - |
dc.date.available | 2017-07-14T00:42:25Z | - |
dc.date.issued | 2016-02 | - |
dc.identifier.other | 000000133390 | - |
dc.identifier.uri | https://hdl.handle.net/10371/121311 | - |
dc.description | 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2016. 2. 임선희. | - |
dc.description.abstract | Geometric structures modeled after homogeneous manifolds are studied to
characterize homogeneous manifolds and to prove the deformation rigidity of them. To generalize these characterizations and deformation rigidity results to quasihomogeneous manifolds, we first study horospherical varieties and geo metric structures modeled after horospherical varieties. Using Cartan geom etry, we prove that a geometric structure modeled after a smooth projective horospherical variety of Picard number one is locally equivalent to the stan dard geometric structure when the geometric structure is defined on a Fano manifold of Picard number one. | - |
dc.description.tableofcontents | Chapter 1 Introduction 1
Chapter 2 Geometric structures on filtered manifolds 6 2.1 G0-structures on filtered manifolds 6 2.2 Prolongations 9 2.3 Cartan connections 11 2.4 Examples 15 Chapter 3 Smooth horospherical varieties of Picard number one 20 3.1 G-varieties 20 3.2 Classifications 22 3.3 Lie algebras of the automorphism groups 26 3.4 Gradations 29 3.5 Varieties of minimal rational tangents 43 Chapter 4 Existence of Cartan connections 50 4.1 Prolongations 50 4.2 Existence of Cartan connections 58 4.3 Geometric structures modeled after horospherical varieties 62 Bibliography 67 국문초록 71 | - |
dc.format | application/pdf | - |
dc.format.extent | 1249481 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | geometric structure | - |
dc.subject | local equivalence | - |
dc.subject | horospherical variety | - |
dc.subject | Cartan geometry | - |
dc.subject | prolongation | - |
dc.subject.ddc | 510 | - |
dc.title | Geometric structures modeled after smooth projective horospherical varieties of Picard number one | - |
dc.type | Thesis | - |
dc.description.degree | Doctor | - |
dc.citation.pages | 77 | - |
dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
dc.date.awarded | 2016-02 | - |
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