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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:On varieties of general type with many global forms
全局形式 一般类型 品种
2023/5/6
Abstract: We give an introduction to the compactification of the moduli space of surfaces of general type introduced by Koll\'ar and Shepherd-Barron and generalized to the case of surfaces with a divi...
A homology plane of general type can have at most a cyclic quotient singularity
Homology plane of general type BMY inequality Zariski-Fujita decomposition
2011/2/22
We show that a homology plane of general type has at worst a single cyclic quotient singular point. An example of such a surface with a singular point does exist [MS, Theorem 3.1]. We
also show that ...
We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type X embedded by adjoint line bundles Lr = K + rB, where B is a base
point free, ample...
A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$
complex surface of general type $p_g=0$, $K^2=2$ $H_1=\mathbb{Z}/4\mathbb{Z}$
2011/2/28
One of the greatest difficulties encountered by all in their first proof intensive class is
subtly assuming an unproven fact in a proof. The purpose of this note is to describe a specific instance wh...
On the birational automorphisms of varieties of general type
birational automorphisms general type
2010/11/11
We show that the number of birational automorphisms of a variety of general type X is bounded by c \cdot \vol(X,K_X), where c is a constant which only depends on the dimension of X.