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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometry of the Ricci flow singularity models
利玛窦流 奇点模型 几何形状
2023/4/25
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
三亚国际数学论坛：International Conference on Singularity Theory and Dynamical Systems
三亚国际数学论坛 International Conference Singularity Theory and Dynamical Systems
2017/7/3
The aim of the symposium is to bring together specialists of various do- mains of singularity theory and mathematical foundation of complex systems representing very classical aspects of the Fields. W...
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
Inviscid model, singularity explicit solutions 2D Boussinesq equations
2014/4/3
We give an example of a well posed, nite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce nite time sing...
On a Newton filtration for functions on a curve singularity
Newton filtration functions curve singularity Algebraic Geometry
2012/6/9
In a previous paper, there was defined a multi-index filtration on the ring of functions on a hypersurface singularity corresponding to its Newton diagram generalizing (for a curve singularity) the di...
On some curve singularity invariants and reductions
adeles motivic integration reduction of algebraic curves zeta functions
2011/8/24
Abstract: This paper deals with the study of the behaviour of the value semigroup of a curve singularity define over a global field reduced modulo a maximal ideal. We also define a global zeta functio...
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann Hilbert matrix orthogonal polynomials discrete matrix equations singularity confinement
2011/7/6
In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the corresponding...
Singularity invariants related to Milnor fibers: survey
Singularity invariants Milnor fibers survey
2011/1/21
This brief survey of some singularity invariants related to Milnor fibers should serve as a quick guide to references. We attempt to place things into a wide geometric context while leaving technicali...
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 ...
Log del Pezzo Surfaces of Rank 2 and Cartier Index 3 with a Unique Singularity
Log del Pezzo surfaces Quotient singularities
2011/1/18
Log del Pezzo surfaces play the role of the opposite of surfaces of general type. We will completely classify all the log del Pezzo surfaces of rank 2 and Cartier index 3 with a unique singularity.
Singularity of Random Matrices over Finite Fields
Singularity of Random Matrices Finite Fields
2011/1/20
Let A be an n×n random matrix with iid entries over a finite field of order q. Suppose that the entries do not take values in any additive coset of the field with probability greater than 1 − ...
Goursat systems of R^n satisfying in each dimension a singularity of order two
Non holonomic distribution normal forms
2010/9/27
In this article we study the 2-distributions in Rn satisfying everywhere the Goursat condition. We give the normal form at a neighborhood of a point where the small growth vector has a singularity of ...
Quantum Singularity Theory for A_{r-1} and r-Spin Theory
Quantum Singularity Theory A_{r-1} and r-Spin Theory
2011/1/14
We give a review of the theories of [FJR] and the theory of [JKV]and prove that for the singularity Ar−1 = xr (with the group G = μr), the stack of Ar−1-curves of [FJR] is canonically isom...
Matrix factorizations and singularity categories for stacks
Matrix factorizations singularity categories for stacks
2010/11/23
We study matrix factorizations of a section W of a line bundle on an algebraic stack. We relate the corresponding derived category (the category of D-branes of type B in the Landau-Ginzburg model with...
Singularity analysis and integrability of a Burgers-type system by Foursov
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph) Analysis of PDEs (math.AP)
2010/11/10
We apply the Painleve test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infi...
Equivalence of the Derived Category of a Variety with a Singularity Category
Variety Singularity Category
2010/11/11
We prove an equivalence between the derived category of a variety and the equivariant/graded singularity category of a corresponding singular variety. The equivalence also holds at the dg level.