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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
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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
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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
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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
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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.
Transitivity on Weierstrass points
Transitivity Weierstrass points
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2011/1/20
An automorphism of a Riemann surface will preserve its set of Weierstrass points. In this paper, we search for Riemann surfaces whose automorphism groups act transitively on the Weierstrass points. On...
Quantum Singularity Theory for A_{r-1} and r-Spin Theory
Quantum Singularity Theory A_{r-1} and r-Spin Theory
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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...
The adjacent vertex distinguishing total chromatic number
The adjacent vertex distinguishing total chromatic number
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2010/12/2
A well-studied concept is that of the total chromatic number. A proper total colouring of a graph is a colouring of both vertices and edges so that every pair of adjacent vertices receive di erent col...
On the classification of quasihomogeneous singularities
Quasihomogeneous polynomial weight system classification of quasihomogeneous singularities
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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.
On a question by Corson about point-finite coverings
coverings of Banach spaces point- nite coverings tilings
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2010/12/10
We answer in the armative the following question raised by H. H. Corson in 1961: " Is it possible to cover every Banach space X by bounded convex sets with nonempty interior in such a way that no poi...
A Note on the Paper $"$Poincaré Inequality on the Path Space of Poisson Point Processes"
Paper $"$Poincaré Inequality ath Space of Poisson Point Processes"
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2010/12/1
In the recent paper [2] we proved a Poincar´e inequality on the path space of compound Poisson processes by using transition probabilities and the Markov property. Our purpose
is to develop a g...
Hardy inequalities with boundary singularities
Hardy inequalities boundary singularities
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2010/11/30
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
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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
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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
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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
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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...