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20192026
most citedLimits on contact interactions and leptoquarks at HERA

16 citations

Showing 2023 · math.AGShow all

5 papers · 2 filters

math.AG2023★ 3 cited

Freeness of arrangements of lines and one conic with ordinary quasi-homogeneous singularities

Piotr Pokora

The main purpose of the present paper is to provide a partial classification, performed with respect the weak-combinatorics, of free arrangements consisting of lines and one smooth…

math.AG2023

Bounds for characteristic numbers of conic-line arrangements in the plane

Rita Pardini, Piotr Pokora

The main aim of the note is to provide an upper-bound for the characteristic number of conic-line arrangements with ordinary singularities in the complex projective plane.

math.AG2023★ 2 cited

Construction of free curves by adding osculating conics to a given cubic curve

Alexandru Dimca, Giovanna Ilardi, Grzegorz Malara +1

In the present article we construct new families of free and nearly free curves starting from a plane cubic curve and adding some of its hyperosculating conics. We present resu…

math.AG2023★ 3 cited

Addition-deletion results for plus-one generated curves

Anca Măcinic, Piotr Pokora

In the recent paper A. Dimca proves that when one adds to or deletes a line from a free curve the resulting curve is either free or plus-one generated. We prove the converse statem…

math.AG2023★ 2 cited

On free and nearly free arrangements of conics admitting certain singularities

Piotr Pokora

The main purpose of this paper is to provide combinatorial constraints on the constructability of free and nearly free arrangements of smooth plane conics admitting certain ${\rm A…