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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Gauss-Bonnet formula beyond the aspherical conjecture
超越非球面猜想 Gauss-Bonnet 曲面
2023/4/21
In this talk, I'll make a discussion on recent progress in the research of scalar curvature. I'll review the backgrounds from Gauss-Bonnet formula to the aspherical conjecture, and then focus on the f...
Manin's Conjecture for a Singular Sextic del Pezzo Surface
Manin's Conjecture Singular Sextic del Pezzo Surface
2010/12/6
We prove Manin’s conjecture for a del Pezzo surface of de-gree six which has one singularity of type A2. Moreover, we achieve a meromorphic continuation and explicit expression of the associated heigh...
A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects
Bloch-Beilinson conjecture K3 surfaces spherical objects
2010/12/10
For a projective K3 surface X over an algebraically closed field k let Db(X) denote the bounded derived category of coherent sheaves. Spherical objects, e.g. line bundles and rigid
stable bundles, pl...