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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Minimal model program for generalized pairs
广义对 最小 模型程序
2023/4/23
Generalized pairs are a natural structure in birational geometry that first appeared in Kodaira’s canonical bundle formula for elliptic fibrations. They were formally introduced by Birkar and Zhang in...
Exchangeable Pairs and Poisson Approximation。
We prove a representation-theoretic version of Borisov-Batyrev mirror symmetry, and use it to construct infinitely many new pairs of orbifolds with mirror Hodge diamonds, with respect to the usual Ho...
On the Relative Weak Asymptotic Homomorphism Property for Pairs of Groups von Neumann Algebras
the Relative Weak Asymptotic Homomorphism Property Pairs Groups von Neumann Algebras
2010/11/9
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
Let $(X,\mathcal{O}_X(1))$ be a polarized smooth projective variety over the complex numbers. Fix $\mathcal{D}\in \mathrm{coh}(X)$ and a nonnegative rational polynomial $\delta$. Using GIT we contruct...
The main purpose of this article is to define the notion of Du Bois singularities for pairs and proving a vanishing theorem using this new notion. The main vanishing theorem specializes to a new vanis...