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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
2022/11/17
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...
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Birational automorphism groups movable cone theorem Calabi-Yau manifolds of Wehler type
2011/7/29
Abstract: We prove that the birational automorphism group of any Calabi-Yau manifold given by a generic hypersurface of multi-degree two in $({\mathbf P^1})^{n+1}$ is isomorphic to the universal Coxet...
$sl_2$ conformal block divisors and the nef cone of $\bar{M}_{0,n}$
the nef cone Algebraic Geometry
2011/7/26
Abstract: We show that $sl_2$ conformal block divisors do not cover the nef cone of $\bar{M}_{0,6}$, or the $S_9$-invariant nef cone of $\bar{M}_{0,9}$. A key point is to relate the nonvanishing of in...