搜索结果: 1-4 共查到“代数几何学 Conjecture”相关记录4条 . 查询时间(0.062 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces
Calabi-Yau fiber spaces 莫里森-川俣 锥猜想
2023/5/9
In this talk, I will explain the relationship between the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces and the existence of Shokurov polytopes. For K3 fibrations, this enables us to e...
On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds
Calabi-Yau threefold, rational curve, nef cone, rational points of cubic forms, Kobayashi's conjecture
2011/9/13
Abstract: Let X be a Calabi-Yau threefold. We show that if there exists on X a non-zero nef non-ample divisor then X contains a rational curve, provided its second Betti number is greater than 4.
Finiteness of K3 surfaces and the Tate conjecture
K3 surfaces the Tate conjecture Algebraic Geometry Number Theory
2011/8/26
Abstract: Given a finite field k of characteristic at least 5, we show that the Tate conjecture holds for K3 surfaces defined over the algebraic closure of k if and only if there are only finitely man...
Abelianity Conjecture for special threefolds
Abelianity Conjecture special threefolds Algebraic Geometry
2011/8/22
Abstract: Using orbifold metrics of the appropriately signed Ricci curvature on orbifolds with negative or numerically trivial canonical bundle and the two-dimensional Log Minimal Model Program, we pr...