Now showing items 53-60 of 60

• #### Some classes of homeomorphisms that preserve multiplicity and tangent cones ﻿

(2018-08-19)
In this paper it is presented some classes of homeomorphisms that preserve multiplicity and tangent cones of complex analytic sets. Moreover, we present a class of homeomorphisms that has the multiplicity as an invariant ...
• #### Some classes of homeomorphisms that preserve multiplicity and tangent cones ﻿

(2019-05-28)
In this paper we present some applications of A'Campo-Lê's Theorem and we study some relations between Zariski's Questions A and B. It is presented some classes of homeomorphisms that preserve multiplicity and tangent cones ...
• #### Some classes of homeomorphisms that preserve multiplicity and tangent cones ﻿

(2020-01-01)
In this paper we present some applications of A’Campo-Lˆe’s Theorem and we study some relations between Zariski’s Questions A and B. It is presented some classes of homeomorphisms that preserve multiplicity and tangent ...
• #### Some contributions to the theory of singularities and their characteristic classes ﻿

(2021-06-02)
In this Ph.D. thesis, we give some contributions to the theory of singularities, as well as to the theory of characteristic classes of singular spaces. The first part of this thesis is devoted to the theory of singularities ...
• #### A specialization property of index ﻿

(2017-01-10)
In [Kol13] Kollár defined $i$-th index of a proper scheme over a field. In this note we study how index behaves under specialization, in any characteristic.
• #### Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds ﻿

(2017-02)
Assume that $M(\mathcal{T})$ is a rational homology sphere plumbed 3--manifold associated with a connected negative definite graph $\mathcal{T}$. We consider the combinatorial multivariable Poincar\'e series associated ...
• #### Topological invariants of plane curve singularities: Polar quotients and Lojasiewicz gradient exponents ﻿

(2019-10-21)
In this paper, we study polar quotients and Łojasiewicz exponents of plane curve singularities, which are not necessarily reduced. We first show that, for complex plane curve singularities, the set of polar quotients is a ...
• #### Topology of Spaces of Valuations and Geometry of Singularities ﻿

(2017-11-11)
Given an algebraic variety X defined over an algebraically closed field, we study the space RZ(X,x) consisting of all the valuations of the function field of X which are centered in a closed point x of X. We concentrate ...