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A vanishing theorem on arithmetic surfaces

✍ Scribed by C. Soulé

Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
909 KB
Volume
116
Category
Article
ISSN
0020-9910

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📜 SIMILAR VOLUMES

Vanishing theorems on Hermitian manifold
Vanishing theorems on Hermitian manifolds
✍ Bogdan Alexandrov; Stefan Ivanov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 107 KB

We prove the vanishing of the Dolbeault cohomology groups on Hermitian manifolds with dd charmonic Kähler form and positive (1, 1)-part of the Ricci form of the Bismut connection. This implies the vanishing of the Dolbeault cohomology groups on complex surfaces which admit a conformal class of Hermi