9 citations · 19 across the 8 of their papers we have counts for
9 papers
Classification of del {P}ezzo surfaces of rank one. III. Height 3
Karol Palka, Tomasz Pełka
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 Pełka
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 Pełka
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 Pełka
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…
Smooth -homology planes satisfying the Negativity Conjecture
Tomasz Pełka
A complex algebraic surface is a -homology plane if for . The Negativity Conjecture of Palka asserts that $κ(K_{X}+\tfrac{1}{2}D)=-\inf…
Classification of smooth factorial affine surfaces of Kodaira dimension zero with trivial units
Tomasz Pełka, Paweł Raźny
We give a corrected statement of the theorem of Gurjar and Miyanishi, which classifies smooth affine surfaces of Kodaira dimension zero, whose coordinate ring is factorial and has…
Classification of planar rational cuspidal curves. II. Log del Pezzo models
Karol Palka, Tomasz Pełka
Let be a complex curve homeomorphic to the projective line. The Negativity Conjecture asserts that the Kodaira-Iitaka dimension of , whe…
Classification of planar rational cuspidal curves. I. C**-fibrations
Karol Palka, Tomasz Pełka
To classify complex rational cuspidal curves it remains to classify the ones with complement of log general type, i.e. the ones for which , wh…