Cohomology of contact loci

N Budur, JF de Bobadilla, QT Lê… - Journal of Differential …, 2022 - projecteuclid.org
We construct a spectral sequence converging to the cohomology with compact support of
the m-th contact locus of a complex polynomial. The first page is explicitly described in terms …

Cremona transformations of weighted projective planes, Zariski pairs, and rational cuspidal curves

EA Bartolo, JI Cogolludo-Agustín… - Singularities and Their …, 2021 - Springer
In this work, we study a family of Cremona transformations of weighted projective planes
which generalize the standard Cremona transformation of the projective plane. Starting from …

Local invariants on quotient singularities and a genus formula for weighted plane curves

JI Cogolludo-Agustín, J Martín-Morales… - International …, 2014 - ieeexplore.ieee.org
In this paper, we extend the concept of Milnor fiber and Milnor number to curve germs on
surface quotient singularities. A generalization of the local δ-invariant is defined and …

The correction term for the Riemann–Roch formula of cyclic quotient singularities and associated invariants

JI Cogolludo-Agustín, J Martin-Morales - Revista Matemática Complutense, 2019 - Springer
This paper deals with the invariant R_X RX called the RR-correction term, which appears in
the Riemann–Roch and Numerical Adjunction Formulas for normal surface singularities …

Invariants for bi-Lipschitz equivalence of ideals

C Bivià-Ausina, T Fukui - The Quarterly Journal of Mathematics, 2017 - academic.oup.com
We introduce the notion of bi-Lipschitz equivalence of ideals and derive numerical invariants
for such equivalence. In particular, we show that the log canonical threshold of ideals is a bi …

Numerical adjunction formulas for weighted projective planes and lattice point counting

JI Cogolludo-Agustín, J Martín-Morales… - 2016 - projecteuclid.org
This article gives an explicit formula for the Ehrhart quasipolynomial of certain 2-dimensional
polyhedra in terms of invariants of surface quotient singularities. Also, a formula for the …

[PDF][PDF] Algebraic and topological invariants of curves and surfaces with quotient singularities

J Ortigas-Galindo - Zaragoza, 2013 - core.ac.uk
The main goal of this PhD thesis is the study of the cohomology ring of P2 w\R, being R a
reduced algebraic curve in the complex weighted projective plane P2 w whose irreducible …

Cyclic coverings of rational normal surfaces which are quotients of a product of curves

EA Bartolo, JI Cogolludo-Agustín… - Publicacions …, 2024 - projecteuclid.org
This paper deals with cyclic covers of a large family of rational normal surfaces that can also
be described as quotients of a product, where the factors are cyclic covers of algebraic …

Some classes of homeomorphisms that preserve multiplicity and tangent cones

JE Sampaio - arXiv preprint arXiv:1911.08346, 2019 - arxiv.org
In this paper we present some applications of A'Campo-L\^ e's Theorem and we study some
relations between Zariski's Questions A and B. It is presented some classes of …

Cyclic coverings of rational normal surfaces which are quotients of a product of curves

E Artal Bartolo, JI Cogolludo-Agustín, J Martín-Morales - 2024 - zaguan.unizar.es
This paper deals with cyclic covers of a large family of rational normal surfaces that can also
be described as quotients of a product, where the factors are cyclic covers of algebraic …