[HTML][HTML] Floer simple manifolds and L-space intervals
J Rasmussen, SD Rasmussen - Advances in Mathematics, 2017 - Elsevier
An oriented three-manifold with torus boundary admits either no L-space Dehn filling, a
unique L-space filling, or an interval of L-space fillings. In the latter case, which we call …
unique L-space filling, or an interval of L-space fillings. In the latter case, which we call …
The Alexander polynomial of a plane curve singularity via the ring of functions on it
A Campillo, F Delgado, SM Gusein-Zade - 2003 - projecteuclid.org
We prove two formulae that express the Alexander polynomial Δ\spC of several variables of
a plane curve singularity C in terms of the ring O\sbC of germs of analytic functions on the …
a plane curve singularity C in terms of the ring O\sbC of germs of analytic functions on the …
Good subsemigroups of
M D'Anna, PA García-Sánchez, V Micale… - arXiv preprint arXiv …, 2016 - arxiv.org
Value semigroups of non irreducible singular algebraic curves and their fractional ideals are
submonoids of $\mathbb Z^ n $ that are closed under infimums, have a conductor and fulfill …
submonoids of $\mathbb Z^ n $ that are closed under infimums, have a conductor and fulfill …
Minimal plane valuations
C Galindo, F Monserrat… - arXiv preprint arXiv …, 2016 - arxiv.org
We consider the last value $\hat {\mu}(\nu) $ of the vanishing sequence of $ H^ 0 (L) $ along
a divisorial or irrational valuation $\nu $ centered at $\mathcal {O} _ {\mathbb {P}^ 2, p} …
a divisorial or irrational valuation $\nu $ centered at $\mathcal {O} _ {\mathbb {P}^ 2, p} …
Generating sequences and Poincaré series for a finite set of plane divisorial valuations
Let V be a finite set of divisorial valuations centered at a 2-dimensional regular local ring R.
In this paper we study its structure by means of the semigroup of values, SV, and the multi …
In this paper we study its structure by means of the semigroup of values, SV, and the multi …
Embedding dimension of a good semigroup
N Maugeri, G Zito - Numerical Semigroups: IMNS 2018, 2020 - Springer
In this paper, we study good semigroups of ℕ n N^ n, a class of semigroups that contains the
value semigroups of algebroid curves with n branches. We give the definition of embedding …
value semigroups of algebroid curves with n branches. We give the definition of embedding …
The log-canonical threshold of a plane curve
513 The log-canonical threshold of a plane curve Page 1 Math. Proc. Camb. Phil. Soc. (2016),
160, 513–535 c Cambridge Philosophical Society 2016 doi:10.1017/S0305004116000037 First …
160, 513–535 c Cambridge Philosophical Society 2016 doi:10.1017/S0305004116000037 First …
The Apéry set of a good semigroup
M D'Anna, L Guerrieri, V Micale - Conference on Rings and Factorizations, 2018 - Springer
We study the Apéry Set of good subsemigroups of\mathbb N^ 2, a class of semigroups
containing the value semigroups of curve singularities with two branches. Even if this set in …
containing the value semigroups of curve singularities with two branches. Even if this set in …
The Tjurina number of a plane curve with two branches and high intersection multiplicity
P Almirón, ME Hernandes - arXiv preprint arXiv:2501.12836, 2025 - arxiv.org
arXiv:2501.12836v1 [math.AG] 22 Jan 2025 Page 1 arXiv:2501.12836v1 [math.AG] 22 Jan
2025 THE TJURINA NUMBER OF A PLANE CURVE WITH TWO BRANCHES AND HIGH …
2025 THE TJURINA NUMBER OF A PLANE CURVE WITH TWO BRANCHES AND HIGH …
The type of a good semigroup and the almost symmetric condition
M D'Anna, L Guerrieri, V Micale - Mediterranean Journal of Mathematics, 2020 - Springer
We study the type and the almost symmetric condition for good subsemigoups of N^ 2 N 2, a
class of semigroups containing the value semigroups of curve singularities with two …
class of semigroups containing the value semigroups of curve singularities with two …