Harmonic metrics on Higgs sheaves and uniformization of varieties of general type
Abstract: We prove a criterion for the existence of harmonic metrics on Higgs bundles that are defined on smooth loci of klt varieties. As one application, we resolve the quasi-étale uniformisation problem for minimal varieties of general type to obtain a complete numerical characterisation of singular quotients of the unit ball by discrete, co-compact groups of automorphisms that act freely in codimension one. As a further application, we establish a nonabelian Hodge correspondence on smooth loci of klt varieties
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Anmerkungen
-
Mathematische Annalen. - 378 (2019) , 1061–1094, ISSN: 0025-5831
- Ereignis
-
Veröffentlichung
- (wo)
-
Freiburg
- (wer)
-
Universität
- (wann)
-
2020
- Urheber
- Beteiligte Personen und Organisationen
-
FRIAS Natur- und Lebenswissenschaften, Medizin und Ingenieurwissenschaften
- DOI
-
10.1007/s00208-019-01906-4
- URN
-
urn:nbn:de:bsz:25-freidok-1543674
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
25.03.2025, 13:45 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Greb, Daniel
- Kebekus, Stefan
- Peternell, Thomas
- Taji, Behrouz
- FRIAS Natur- und Lebenswissenschaften, Medizin und Ingenieurwissenschaften
- Universität
Entstanden
- 2020
Ähnliche Objekte (12)
Tannakian Categories of Perverse Sheaves on Abelian Varieties
Tannakian categories of perverse sheaves on abelian varieties
Resolutions and moduli for equivariant sheaves over toric varieties
Equivariant sheaves on flag varieties, DG modules and formality
Resolutions and moduli for equivariant sheaves over toric varieties
Orbifold Kähler–Einstein metrics on projective toric varieties
Probability sheaves
Higher Sheaves
Hyperkähler Metrics on the Moduli Space of Weakly Parabolic Higgs Bundles
Sheaves on manifolds
Positive Ulrich sheaves
Sheaves in topology
Tannakian Categories of Perverse Sheaves on Abelian Varieties
Tannakian categories of perverse sheaves on abelian varieties
Resolutions and moduli for equivariant sheaves over toric varieties
Equivariant sheaves on flag varieties, DG modules and formality
Resolutions and moduli for equivariant sheaves over toric varieties
Orbifold Kähler–Einstein metrics on projective toric varieties
Probability sheaves
Higher Sheaves
Hyperkähler Metrics on the Moduli Space of Weakly Parabolic Higgs Bundles
Sheaves on manifolds
Positive Ulrich sheaves
Sheaves in topology
Tannakian Categories of Perverse Sheaves on Abelian Varieties
Tannakian categories of perverse sheaves on abelian varieties
Resolutions and moduli for equivariant sheaves over toric varieties
Equivariant sheaves on flag varieties, DG modules and formality
Resolutions and moduli for equivariant sheaves over toric varieties
Orbifold Kähler–Einstein metrics on projective toric varieties
Probability sheaves
Higher Sheaves
Hyperkähler Metrics on the Moduli Space of Weakly Parabolic Higgs Bundles
Sheaves on manifolds
Positive Ulrich sheaves