5 papers · 1 filter
Classification of del {P}ezzo surfaces of rank one. III. Height 3
Karol Palka, Tomasz PeÅka
This article is a part of a series aimed at classifying normal del Pezzo surfaces of Picard rank one over an algebraically closed field of arbitrary characteristic, up to an isomor…
Classification of del Pezzo surfaces of rank one. I. Height 1 and 2. II. Descendants with elliptic boundaries
Karol Palka, Tomasz PeÅka
This is the first article in a series aimed at classifying normal del Pezzo surfaces of Picard rank one over algebraically closed fields of arbitrary characteristic up to an isomor…
On the structure of open del Pezzo surfaces
Karol Palka, Tomasz PeÅka
Let be an open log del Pezzo surface of rank one, that is, is a normal projective surface of Picard rank one, the boundary is a reduced nonzero divisor on , and…
On the embedded Nash problem
Nero Budur, Javier de la Bodega, Eduardo de Lorenzo Poza +2
The embedded Nash problem for a hypersurface in a smooth algebraic variety, is to characterize geometrically the maximal irreducible families of arcs with fixed order of contact al…
Symplectic monodromy at radius zero and equimultiplicity of -constant families
Javier Fernández de Bobadilla, Tomasz PeÅka
We show that every family of isolated hypersurface singularity with constant Milnor number has constant multiplicity. To achieve this, we endow the A'Campo model of "radius zero" m…