On the freeness of conic-line arrangements
Moduli and Friends seminar
Monday 26 June 2023
Piotr Pokora (Pedagogical University of Cracow) — On the freeness of conic-line arrangements
Based on a joint project with Alex Dimca.
During the talk I will report on recent results concerning the freeness of conic-line arrangements (with prescribed simple singularities) and the Numerical Terao's Conjecture. We provide a complete classification of conic-line arrangements in the complex projective plane with nodes, tacnodes and ordinary triple points that are free, and we show that there are no free conic arrangements in the complex projective plane with (sufficiently) simple singularities. We also elaborate a bit on some challenges to the freeness of arrangements with positive genus curves as irreducible components.
* Eastern European Time, i.e. UTC+2 in winter and UTC+3 in summer.