Kawamata–viehweg Vanishing as Kodaira Vanishing for Stacks
نویسنده
چکیده
We associate to a pair (X, D), consisting of a smooth variety with a divisor D ∈ Div(X) ⊗ Q whose support has only normal crossings, a canonical Deligne–Mumford stack over X on which D becomes integral. We then reinterpret the Kawamata–Viehweg vanishing theorem as Kodaira vanishing for stacks.
منابع مشابه
Kodaira-saito Vanishing and Applications
The first part of the paper contains a detailed proof of M. Saito’s generalization of the Kodaira vanishing theorem, following the original argument and with ample background. The second part contains some recent applications, and a Kawamata-Viehweg-type statement in the setting of mixed Hodge modules.
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