Heegaard Floer homology and rational cuspidal curves
M Borodzik, C Livingston - Forum of Mathematics, Sigma, 2014 - cambridge.org
We apply the methods of Heegaard Floer homology to identify topological properties of
complex curves in. As one application, we resolve an open conjecture that constrains the …
complex curves in. As one application, we resolve an open conjecture that constrains the …
Poincar\'e series associated with surface singularities
A Némethi - arXiv preprint arXiv:0710.0987, 2007 - arxiv.org
We unify and generalize formulas obtained by Campillo, Delgado and Gusein-Zade in their
series of articles. Positive results are established for rational and minimally elliptic …
series of articles. Positive results are established for rational and minimally elliptic …
[PDF][PDF] Links and analytic invariants of superisolated singularities
I Luengo-Velasco, A Melle-Hernández… - arXiv preprint math …, 2003 - arxiv.org
arXiv:math/0312416v2 [math.AG] 16 Oct 2004 Page 1 arXiv:math/0312416v2 [math.AG] 16 Oct
2004 LINKS AND ANALYTIC INVARIANTS OF SUPERISOLATED SINGULARITIES I …
2004 LINKS AND ANALYTIC INVARIANTS OF SUPERISOLATED SINGULARITIES I …
Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair
J Fernández de Bobadilla, I Luengo… - Real and Complex …, 2007 - Springer
It is a very old and interesting open problem to characterize those collections of embedded
topological types of local plane curve singularities which may appear as singularities of a …
topological types of local plane curve singularities which may appear as singularities of a …
On some conjectures about free and nearly free divisors
E Artal Bartolo, L Gorrochategui, I Luengo… - … and Computer Algebra …, 2017 - Springer
In this paper we provide infinite families of non-rational irreducible free divisors or nearly
free divisors in the complex projective plane. Moreover, their corresponding local …
free divisors in the complex projective plane. Moreover, their corresponding local …
The symplectic isotopy problem for rational cuspidal curves
M Golla, L Starkston - Compositio Mathematica, 2022 - cambridge.org
We define a suitably tame class of singular symplectic curves in 4-manifolds, namely those
whose singularities are modeled on complex curve singularities. We study the …
whose singularities are modeled on complex curve singularities. We study the …
The Coolidge–Nagata conjecture
M Koras, K Palka - 2017 - projecteuclid.org
Abstract Let E⊆ P 2 be a complex rational cuspidal curve contained in the projective plane.
The Coolidge–Nagata conjecture asserts that E is Cremona-equivalent to a line, that is, it is …
The Coolidge–Nagata conjecture asserts that E is Cremona-equivalent to a line, that is, it is …
[图书][B] Milnor fiber boundary of a non-isolated surface singularity
A Némethi, Á Szilárd - 2012 - books.google.com
In the study of algebraic/analytic varieties a key aspect is the description of the invariants of
their singularities. This book targets the challenging non-isolated case. Let f be a complex …
their singularities. This book targets the challenging non-isolated case. Let f be a complex …
Lattice cohomology and rational cuspidal curves
J Bodnár, A Némethi - arXiv preprint arXiv:1405.0437, 2014 - arxiv.org
We show a counterexample to a conjecture of de Bobadilla, Luengo, Melle-Hern\'{a} ndez
and N\'{e} methi on rational cuspidal projective plane curves. The counterexample is a …
and N\'{e} methi on rational cuspidal projective plane curves. The counterexample is a …
Analytic lattice cohomology of surface singularities
T Ágoston, A Némethi - arXiv preprint arXiv:2108.12294, 2021 - arxiv.org
We construct the analytic lattice cohomology associated with the analytic type of any
complex normal surface singularity. It is the categorification of the geometric genus of the …
complex normal surface singularity. It is the categorification of the geometric genus of the …