Información del autor
Documentos disponibles escritos por este autor (17)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
The semigroup of values of irreducible space curve singularities is the set of intersection multiplicities among hypersurfaces and the given curve. It is an invariant of the singularity, and for plane curves it characterizes the equisingularity [...]texto impreso
A subring of a discrete valuation ring Rv is called an Rv-Arf ring if it satisfies a certain condition first considered by C. Arf some forty-five years ago. Let A be any subring of Rv and let I be an ideal of A. The operation of the blow up of A[...]texto impreso
Castellanos Peñuela, Julio Antonio | Asoc. Semin. Iberoam. Mat. Univ. Valladolid, Fac. Sci. Dep. Algebra, Geom. Topol. | 1999his is an expository paper in Spanish of results published by the author. No proofs are given in this paper. Let us recall that Zariski has proved the unique factorisation of complete ideals into simple complete ideals in a local regular rin[...]texto impreso
We consider complete ideals supported on finite sequences of infinitely near points, in regular local rings with dimensions greater than two. We study properties of factorizations in Lipman special *-simple complete ideals. We relate it to a typ[...]texto impreso
This monograph presents a local theory of planar and space curve singularities both from an algebraic and geometric point of view, being motivated by possible extensions of the Zariski equisingularity theory to the case of space curves and by ma[...]texto impreso
texto impreso
We study Hamburger-Noether matrices over rings, obtaining some applications to deformations of curves and equisingularity. We also study a special type of them, the matrices of Arf.texto impreso
texto impreso
The authors use the Arf closure relative to divisorial valuations to define an extension of Puiseux exponents for general singularities. Primary exponents come from valuation associated to arc space components. Secondary exponents are related to[...]texto impreso
In this paper we consider finite sequence of space infinitely near points. We associated to it, curves passing through this sequences, and study some equisingularity invariants of them.texto impreso
texto impreso
We use a matrix associated with the process of resolution of the singularity of a curve, in order to give a necessary and sufficient condition for the preservation of the multiplicities sequence by the natural deformation to a monomial curve wit[...]texto impreso
In this paper we study the resolution of space curves via toroidal blowing ups. We consider one invariant for the curve, the complexity as the minimum of number of toroidal blowing ups (after a suitable change of coordinates) needed to obtain an[...]texto impreso
We study the equisingularity of singularities of dimensionality type 1 (following Zariski’s terminology) for varieties that are not necessarily hypersurfaces. We view each variety as a family of space curves, some of them being nonreduced, and w[...]texto impreso
In this paper we give an analogue of the dual graph for a space curve. Taking an embedded resolution, we consider the graph whose vertices are the components of the exceptional divisor, with edges joining intersecting components, and appropriate[...]
