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The topic for 2017 Tianyuan Spring School is: higher dimensional algebraic varieties and moduli theory, including biraitonal geometry, stability theory and the geometry of Fano varieties. The topics o...
Algebraic Geometry is a subject moving forward rapidly in the recent years. This conferences aims to encourage the communication among the algebraic geometers from the two institutes and others. Besid...
Algebraic Geometry is a subject moving forward rapidly in the recent years. This conferences aims to encourage the communication among the algebraic geometers from the two institutes and others. Besid...
The topic for 2017 Tianyuan Spring School is: higher dimensional algebraic varieties and moduli theory, including biraitonal geometry, stability theory and the geometry of Fano varieties. The topics o...
In topology, the notions of the fundamental group and the universal cover are closely intertwined. By importing usual notions from topology into the algebraic and arithmetic setting, we construct a ...
We consider the question: “How bad can the deformation space of an object be?” The answer seems to be: “Unless there is some a priori reason otherwise, the deformation space may be as bad as possible...
The quaternionic Grassmannian HGr(r,n) is the affine open subscheme of the ordinary Grassmannian parametrizing those 2r-dimensional subspaces of a 2n-dimensional symplectic vector space on which the ...
We solve the loop equations of the β-ensemble model analogously to the solution found for the Hermitian matrices β = 1. For β = 1, the solution was expressed using the algebraic spectral curve of equa...
The aim of this paper is to lay a algebraic geometry foundation for constructing smoothing interpolants on curved side element. Some interpolation theorems in polynomial space are given. The main re...
For any irreducible complex projective variety A, we prove that in the nonstandard extension ~*A of A in a polysaturated model, the set of points which are not generic points of A has Loeb measure zer...

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