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Holomorphic Morse inequalities for orbifolds.
- Source :
- Mathematische Zeitschrift; Aug2018, Vol. 289 Issue 3/4, p1237-1260, 24p
- Publication Year :
- 2018
-
Abstract
- We prove that Demailly’s holomorphic Morse inequalities hold true for complex orbifolds by using a heat kernel method. Then we introduce the class of Moishezon orbifolds and as an application of our inequalties, we give a geometric criterion for a compact connected orbifold to be a Moishezon orbifolds, thus generalizing Siu’s and Demailly’s answers to the Grauert-Riemenschneider conjecture to the orbifold case. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00255874
- Volume :
- 289
- Issue :
- 3/4
- Database :
- Complementary Index
- Journal :
- Mathematische Zeitschrift
- Publication Type :
- Academic Journal
- Accession number :
- 130862861
- Full Text :
- https://doi.org/10.1007/s00209-017-1996-7