M. Saia

activity

20012016

collaborators

3 papers

math.DG2016

Affine focal sets of codimension $2$ submanifolds contained in hyper surfaces

Marcos Craizer, Marcelo J. Saia, Luis F. Sánchez

In this paper we study the affine focal set, which is the bifurcation set of the affine distance to submanifolds $N^{n}$ contained in hypersurfaces $M^{n + 1}$ of the $(n + 2)$ -space. We…

math.DG2015

Equiaffine Darboux Frames for Codimension 2 Submanifolds contained in Hypersurfaces

Marcos Craizer, Marcelo J. Saia, Luis F. Sánchez

Consider a codimension $1$ submanifold $N^{n} \subset M^{n + 1}$ , where $M^{n + 1} \subset R^{n + 2}$ is a hypersurface. The envelope of tangent spaces of $M$ along $N$ generalizes t…

math.AG2001

Local Zeta Function for Curves, Non Degeneracy Conditions and Newton Polygons

M. J. Saia, W. A. Zuniga-Galindo

This paper is dedicated to the description of the poles of the Igusa local zeta functions $Z (s, f, v)$ when $f (x, y)$ satisfies a new non degeneracy condition, that we have called ari…

Affine focal sets of codimension 2 submanifolds contained in hyper surfaces

Equiaffine Darboux Frames for Codimension 2 Submanifolds contained in Hypersurfaces

Local Zeta Function for Curves, Non Degeneracy Conditions and Newton Polygons

Affine focal sets of codimension $2$ submanifolds contained in hyper surfaces