التفاصيل البيبلوغرافية
| العنوان: |
Vanishing Theorems for Sheaves of Logarithmic Differential Forms on Compact Kähler Manifolds. |
| المؤلفون: |
Huang, Chunle, Liu, Kefeng, Wan, Xueyuan, Yang, Xiaokui |
| المصدر: |
IMRN: International Mathematics Research Notices; Aug2023, Vol. 2023 Issue 16, p13501-13523, 23p |
| مصطلحات موضوعية: |
VANISHING theorems, DIFFERENTIAL forms, SHEAF theory, ISOMORPHISM (Mathematics) |
| مستخلص: |
In this paper, we first establish an |$L^2$| -type Dolbeault isomorphism for logarithmic differential forms by Hrmander's |$L^2$| estimates. By using this isomorphism and the construction of smooth Hermitian metrics, we obtain a number of new vanishing theorems for sheaves of logarithmic differential forms on compact Kähler manifolds with simple normal crossing divisors, which generalize several classical vanishing theorems, including Norimatsu's vanishing theorem, Girbau's vanishing theorem, Le Potier's vanishing theorem, and a version of the Kawamata–Viehweg vanishing theorem. [ABSTRACT FROM AUTHOR] |
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