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Projections of surfaces in 'R POT.4' to 'R POT.3' and the geometry of their singular images
(European Mathematical SocietyZurich, 2015)
We study the geometry of germs of singular surfaces in 'R POT.3' whose parametrisations have an A-singularity of 'A IND.E'-codimension less than or equal to 3, via their contact with planes. These singular surfaces occur ...
TOPOLOGY OF SINPLE SINGULARITIES OF RULED SURFACES IN R-p
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
In this work we compare the simple singularities of germs from R-2 to R-p with multiplicity 2 or 3 with the singularities appearing in the set of 2-ruled surfaces. We also study the topological type of all finitely determined ...
Contact properties of surfaces in r-3 with corank 1 singularities
(Tohoku University, 2015-03-01)
We study the geometry of surfaces in R-3 with corank 1 singularities. At a singular point we define the curvature parabola using the first and second fundamental forms of the surface, which contains all the local second ...
Rigidez de una superficie con puntos singularesRigidez de una superficie con puntos singulares
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2006)
On the index of principal foliations of surfaces in R3with corank 1 singularities
(2020-01-01)
It is well known that the index associated to the principal foliations at a cross-cap point is 1/2. In this work we study the index for other corank 1 singularities from (R2, 0) to (R3, 0) which either are simple or are ...
Contact properties of surfaces in r-3 with corank 1 singularities
(Tohoku University, 2015)
Milnor fibers and symplectic fillings of quotient surface singularities
(2018)
We determine a one-to-one correspondence between Milnor fibers and minimal symplectic fillings of a quotient surface singularity (up to diffeomorphism type) by giving an explicit algorithm to compare them mainly via ...
On accumulation points of volumes of stable surfaces with one cyclic quotient singularity
(2021)
The set of volumes of stable surfaces does have accumulation points. In this paper, we study this phenomenon for surfaces with one cyclic quotient singularity, towards answering the question under which conditions we can ...