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为促进加权射影空间与代数表示理论方面的前沿学术交流,2016年3月5日,国际学术会议“Workshop on Weighted Projective Spaces and Representation Theory”在中国科学技术大学数学科学学院召开。与会代表四十余人,包括著名代数学家Osamu Iyama、Henning Krause、Helmut Lenzing和Claus Michael R...
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
An orbifold version of the Hitchin-Thorpe inequality is used to prove that certain weighted projective spaces do not admit orbifold Einstein metrics. Also, several estimates for the orbifold Yamabe in...
Projective spaces and hyperquadrics are the simplest projective algebraic varieties, and they can be characterized in many ways. The aim of this paper is to provide a new characterization of them in t...
or a hypersurface in a projective space, we consider the set of pairs of a point and a line in the projective space such that the line intersects the hypersurface at the point with a fixed multiplicit...
Let X be a smooth complex projective variety. A re-cent conjecture of S. Kov´acs states that if the pth-exterior power of the tangent bundle TX contains the pth-exterior power of an am- ple vec...
We seek to characterize homology classes of Lagrangian projective spaces embedded in irreducible holomorphic-symplectic manifolds, up to the action of the monodromy group. This paper addresses the ca...
Let 􀀀 be an e An subgroup of PGLn+1(K), with n  2, where K is a local field with residue field of order q and let Pn K be projective n-space over K. The module of coinvariants H0(􀀀;...
After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of \CP2, we describe a new construction of maps from symplectic manifolds of any dimension to \CP2 and the...

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