5 citations · 5 across the 6 of their papers we have counts for
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Topological line arrangements with high multiplicities
Paolo Aceto, Marco Golla
We investigate constraints on the existence of topological and smooth realisations of combinatorial line arrangements and -configurations in the complex projective plane. By…
The Farey tree and embeddings of lens spaces and rational balls in
Marco Golla, Brendan Owens
Motivated by a conjecture of Kollár, we study embeddings of multiple rational homology balls in . To each node of the Farey tree, we associate such an embedding of t…
Surfaces in 4-manifolds and complex curves
Marco Golla
These are lecture notes from a mini-course taught at Winterbraids XIII (Montpellier, 2024). The main character of these notes are curves in the complex projective plane, viewed fro…
Oka and Alexander polynomials of symplectic curves and divisibility relations
Hanine Awada, Marco Golla
We prove Libgober's divisibility relations for Oka and Alexander polynomials of symplectic curves in the complex projective plane. Along the way, we give new proofs of the divisibi…
On line arrangements with odd multiplicities
Marco Golla
We give restrictions on the weak combinatorics of line arrangements with singular points of odd multiplicity using topological arguments on locally-flat spheres in 4-manifolds. As…
Splitting links by integer homology spheres
Marco Golla, Marco Marengon
For every , we construct 2-component links in that are a split by an integer homology -sphere, but not by . In the special case , i.e. that of 2-lin…