A conic bundle is a contraction between normal varieties of relative dimension such that is
relatively ample. We prove a conjecture of Shokurov that predicts that if is a conic bundle …

The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-
dimensional local ring with a rational singularity. In particular, we reveal which information …

The paper reviews recent developments in the study of Alexander invariants of quasi-
projective manifolds using methods of singularity theory. Several results in topology of the …

In this paper we make a systematic study of the multiplicity of the jumping points associated
to the mixed multiplier ideals of a family of ideals in a complex surface with rational …

We study the multiplier ideals and the corresponding jumping numbers and multiplicities
$\{m (c)\} _ {c\in\mathbb {R}} $ in the following context: $(X, o) $ is a complex analytic normal …

There is a proposition due to Kollár as reported by Kollár (Proceedings of the summer
research institute, Santa Cruz, CA, USA, July 9–29, 1995, American Mathematical Society …

In this article we give an explicit formula for the jumping numbers of an ideal of finite
colength in a two-dimensional regular local ring with an algebraically closed residue field …

Given asymptotic counts in number theory, a question of Venkatesh asks what is the
topological nature of lower order terms. We consider the arithmetic aspect of the inertia stack …

Given asymptotic counts in number theory, a question of Venkatesh asks what is the
topological nature of lower order terms. We consider the arithmetic aspect of the inertia stack …

We define the notion of Platonic surfaces. These are anticanonical smooth projective
rational surfaces defined over any fixed algebraically closed field of arbitrary characteristic …