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Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities
Torsion cotorsion sheaf of Kä hler differentials some mild singularities
2011/3/1
We give a criterion for the sheaf of Kähler differentials on a cone over a smooth projective variety to be torsionfree.
Gorenstein isolated quotient singularities over C
Gorenstein isolated quotient singularities
2011/1/21
In this paper we review the classification of isolated quotient singularities over the field of complex numbers due to H. Zassenhaus,G. Vincent, and J. A. Wolf. As an application we describe Gorenstei...
Analytic classification of singularities in the generalized Kowalevski case
интегрируемые гамильтоновы системы отображение момента
2011/3/3
В задаче о движении волчка Ковалевской в двойном поле (случай интегрируемости А. Г. Реймана–М.А. Семенова-Тян-Шанского) вычислен тип всех критических точек отображения момента.
Analytic classification of singularities in the generalized Kowalevski case
слова интегрируемые гамильтоновы системы отображение момента
2010/12/28
В задаче о движении волчка Ковалевской в двойном поле (случай интегрируемости А. Г. Реймана–М.А. Семенова-Тян-Шанского) вычислен тип всех критических точек отображения момента.
On the classification of quasihomogeneous singularities
Quasihomogeneous polynomial weight system classification of quasihomogeneous singularities
2010/11/29
The motivation for this paper are computer calculations of complete lists of weight systems of quasihomogeneous polynomials with isolated singularity at 0 up to rather large Milnor numbers.
In this work we prove some Hardy-Poincar´e inequalities with quadratic singular potentials localized on the boundary of a smooth domain. Then, we consider conical domains with vertex on the sing...
A criterion for non-degeneracy of singularities of integrable Hamiltonian systems
criterion non-degeneracy of singularities integrable Hamiltonian systems
2010/12/15
Let (M, !) be a symplectic 2n-manifold and h1, . . . , hn be functionally independent com-
muting functions onM. We present a geometric criterion for non-degeneracy of a singular point P ∈ M (i.e. su...
A note on Hardy's inequalities with boundary singularities
Hardy inequality extremals p-Laplacian
2010/12/8
Let be a smooth bounded domain in RN with N 1. In this paper we study the Hardy-Poincar´e inequalities with weight function singular at the boundary of .In particular we give sufficient condit...
Reduction of Singularities of Three-Dimensional Line Foliations
Singularities of Three-Dimensional Line Foliations
2010/12/1
We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of ...
Handlebody argument for modifying achiral Lefschetz singularities
Handlebody argument achiral Lefschetz singularities
2010/11/30
In [3] we gave a handlebody description of a broken Lefschetz fibration on CP2 as a ounterexample to Gay and Kirby’s conjecture on the necessity of negative Lefschetz singularities for generalized fib...