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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On a Bogomolov type vanishing theorem
Bogomolov型 消失定理 代数几何
2023/11/29
The Bogomolv theorem holds great importance in algebraic geometry, particularly in the field of birational geometry. During this presentation, we will introduce our recent work on a variant of the Bog...
A vanishing theorem for operators in Fock space
non-relativistic quantum electrodynamics Fock space operator theoretic renormalization symmetry
2011/9/19
Abstract: We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a cer...
A vanishing theorem in twisted de Rham cohomology
vanishing theorem twisted de Rham cohomology
2011/1/20
We prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.
A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves
Regularity powers of ideals vanishing theorem.
2010/11/29
Let I be an ideal sheaf on Pn. In the first part of this paper, we bound the asymptotic regularity of powers of I as ps − 3 regIp ps + e,where e is a constant and s is the s-invariant of I. ...
Removable singularities and a vanishing theorem for Seiberg-Witten invariants
Removable singularities Seiberg-Witten invariants
2010/3/17
Removable singularities and a vanishing theorem for Seiberg-Witten invariants。