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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Projective Manifolds with Pseudoeffective Cotangent Bundle II
伪有效 余切丛 射影流形
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2023/11/15
The Keller-Segel system is known to exhibit rich dynamical behaviors including singularity formation with self-similarity structure. The talk presents recent developments in the study of blowup for th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The pseudoeffective cone on projective manifolds
射影流形 赝有效锥 全纯线丛
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2023/5/15
We report the work of Boucksom-Demailly-Paun-Peternell, which shows that a holomorphic line bundle on a projective manifold is pseudoeffective iff its degree on any member of a covering family of curv...
GLOBAL TORELLI THEOREM FOR PROJECTIVE MANIFOLDS OF CALABI-YAU TYPE
GLOBAL TORELLI THEOREM PROJECTIVE MANIFOLDS CALABI-YAU TYPE
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2018/4/19
In this paper we prove two main results about the global properties of the period mapsfrom the Teichm¨uller space of polarized and marked Calabi-Yau type manifolds to theperiod domain of polarized Hod...
The symplectic topology of projective manifolds with small dual
The symplectic topology projective manifolds small dual Algebraic Geometry
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2011/8/22
Abstract: We study smooth projective varieties with small dual variety using methods from symplectic topology. We prove the affine parts of such varieties are subcritical, and that the hyperplane clas...
The convex real projective manifolds and orbifolds with radial ends I: the openness of deformations
The convex real projective manifolds orbifolds radial ends I
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2010/11/11
A real projective orbifold is an $n$-dimensional orbifold modeled on $RP^n$ with groups $\PGL(n+1, \bR)$. We concentrate on orbifolds with a compact codimension $0$ submanifold whose complement is a u...