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We give a criterion for the sheaf of Kähler differentials on a cone over a smooth projective variety to be torsionfree.
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...
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.
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.
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...
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...
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...
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.
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...
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...
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...
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...
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...
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 ...
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...

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