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Record Nr. |
UNINA9910483216103321 |
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Autore |
Zamora Saiz Alfonso |
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Titolo |
Geometric invariant theory, holomorphic vector bundles and the Harder-Narasimhan filtration / / Alfonso Zamora Saiz, Ronald A. Zúñiga-Rojas |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (xiii, 127 pages) : illustrations |
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Collana |
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SpringerBriefs in Mathematics |
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Disciplina |
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Soggetti |
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Geometry, Algebraic |
Moduli theory |
Invariants |
Geometria algebraica |
Teoria de mòduls |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Intro -- Preface -- Contents -- List of Symbols -- 1 Introduction -- 2 Preliminaries -- 2.1 Algebraic Varieties and Groups -- 2.1.1 Algebraic Varieties -- 2.1.2 Group Actions -- 2.2 Sheaf Theory and Schemes -- 2.2.1 Sheaves and Cohomology -- 2.2.2 Schemes -- 2.3 Holomorphic Vector Bundles -- 2.3.1 Vector Bundles -- 2.3.2 Line Bundles -- 2.3.3 Divisors -- 3 Geometric Invariant Theory -- 3.1 Quotients and the Notion of Stability -- 3.2 Hilbert-Mumford Criterion -- 3.3 Symplectic Stability -- 3.4 Examples -- 3.5 Maximal Unstability -- 4 Moduli Space of Vector Bundles -- 4.1 GIT Construction of the Moduli Space -- 4.2 Harder-Narasimhan Filtration -- 4.3 Other Constructions of the Moduli Space of Vector Bundles -- 4.3.1 Analytical Construction of the Moduli Space of Vector Bundles -- 4.3.2 Moduli Space of Representations of the Fundamental Group -- 4.4 Moduli Space of Higgs Bundles -- 4.4.1 Hitchin's Construction -- 4.4.2 Higher Rank and Dimensional Higgs Bundles -- 5 Unstability Correspondence -- 5.1 Correspondence for Vector Bundles -- 5.1.1 Main Correspondence: Holomorphic Vector |
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Bundles -- 5.1.2 Other Correspondences for Augmented Bundles -- 5.2 Quiver Representations -- 5.3 (G,h)-Constellations -- 6 Stratifications on the Moduli Space of Higgs Bundles -- 6.1 Shatz Stratification -- 6.2 C-Action and Białynicki-Birula Stratification -- 6.3 Stratifications in Rank Three -- 6.3.1 Sketch of the Proof of Theorem 6.1 -- 6.3.2 Relationship Between Shatz and Biłynicki-Birula Stratifications for Rank Three Higgs Bundles -- 6.4 Homotopy Groups -- References -- Index. |
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2. |
Record Nr. |
UNINA9910788731403321 |
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Autore |
Buchweitz Ragnar-Olaf <1952-> |
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Titolo |
CR-geometry and deformations of isolated singularities / / Ragnar-Olaf Buchweitz, John J. Millson |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1997 |
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©1997 |
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ISBN |
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Descrizione fisica |
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1 online resource (111 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 125, Number 597 |
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Disciplina |
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Soggetti |
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CR submanifolds |
Deformations of singularities |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1997, Volume 125, Number 597 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (p. 95-96). |
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Nota di contenuto |
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""Contents""; ""0. Introduction""; ""1. Controlling Differential Graded Lie Algebras""; ""2. Vector-Valued Differential Forms on Complex Manifolds""; ""3. Kuranishi's CR Deformation Theory""; ""4. The Global Tangent Complex of a Complex Analytic Space""; ""5. The Local Tangent Complex Controls the Flat Deformations of an Analytic Local Ring""; ""6. The Global Tangent Complex Controls the Flat Deformations of a Complex Analytic Space""; ""7. The Comparison of the Tangent Complex and the Kodaira-Spencer Algebra of a Complex Manifold""; ""8. The Akahori Complexes"" |
""9. A Controlling Differential Graded Lie Algebra for Kuranishi's CR-deformation Theory""""10. Counterexamples""; ""References"" |
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3. |
Record Nr. |
UNINA9910139950903321 |
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Autore |
Musset Alain |
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Titolo |
Les Littoraux Latino-Americains: Terres a Decouvrir |
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Pubbl/distr/stampa |
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Éditions de l’IHEAL, 1998 |
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[Place of publication not identified], : Institut des Hautes Etudes de l'Amerique Latine, 1998 |
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ISBN |
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Descrizione fisica |
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1 online resource (184 p.) |
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Altri autori (Persone) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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