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math.AG2026
Free line arrangements with low maximal multiplicity
Alexandru Dimca, Lukas Kühne, Lukas Kühne +1
Let $\A$ be a free arrangement of lines in the complex projective plane, with exponents . Let be the maximal multiplicity of points in $\A$. In this note, we d…
math.AG2026
Abelian surfaces over finite fields containing no curves of genus or less
Elena Berardini, Alejandro Giangreco Maidana, Stefano Marseglia
We study abelian surfaces defined over finite fields which do not contain any possibly singular curve of genus less than or equal to . Firstly, we complete and expand the charac…
math.AG2026
PÅoski Approximation Theorem
Adam ParusiÅski, Guillaume Rond
The aim of this paper is to review how some approximation results in commutative algebra are being used to construct equisingular deformations of singularities. The first example o…