output
20192026
most citedLimits on contact interactions and leptoquarks at HERA

16 citations

22 papers

math.AG2026

On combinatorial bounds for the total Tjurina numbers of certain curves and surfaces with isolated singularities

Piotr Pokora

We investigate combinatorial bounds for the total Tjurina numbers of some plane curve arrangements. Focusing on arrangements of lines and conics in that admit only o…

math.AG2025

On plus-one generated arrangements of plane conics

Artur Bromboszcz, Bartosz Jarosławski, Piotr Pokora

In this paper, we examine the combinatorial properties of conic arrangements in the complex projective plane that possess certain quasi-homogeneous singularities. First, we introdu…

math.AG2025

Free line arrangements with low maximal multiplicity

Alexandru Dimca, Lukas Kühne, Piotr Pokora

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…

cs.CV2025★ 1 cited

Automated segmentation of pediatric neuroblastoma on multi-modal MRI: Results of the SPPIN challenge at MICCAI 2023

M. A. D. Buser, D. C. Simons, M. Fitski +27

Surgery plays an important role within the treatment for neuroblastoma, a common pediatric cancer. This requires careful planning, often via magnetic resonance imaging (MRI)-based…

math.AG2025

On homological properties of some Cynk-Szemberg octic hyperplane arrangements

Marek Janasz, Piotr Pokora

In this paper we study Cynk-Szemberg octic hyperplane arrangements from the perspective of homological properties of their derivation modules. In particular, we define the notion o…

math.AG2025

On the addition technique for Betti and Poincaré polynomials of plane curves

Piotr Pokora

Using the addition technique, we present polynomial identities for the Betti and Poincaré polynomials of reduced plane curves.

math.AG2024★ 3 cited

On Poincaré polynomials for plane curves with quasi-homogeneous singularities

Piotr Pokora

We define a combinatorial object that can be associated with any conic-line arrangement with ordinary singularities, which we call the combinatorial Poincaré polynomial. We prove a…

math.AG2024

Minimal plus-one generated line arrangements with double and triple intersection points

Artur Bromboszcz

We provide a complete classification, in the language of weak-combinatorics, of minimal plus-one generated line arrangements in the complex projective plane with double and triple…

cond-mat.mtrl-sci2024★ 12 cited

Structure, magnetic properties, and cycloidal spin ordering in Nd-doped BiFeO synthesized by sol-gel method

K. Komędera, K. Siedliska, Ł. Gondek +7

In this study, the structural and magnetic properties of Nd-doped BiFeO materials with the formula BiNdFeO were investigated. Samples were prepa…

math.AG2024

Construction of free arrangements using point-line operators

Piotr Pokora, Xavier Roulleau

We construct new examples of free curve arrangements in the complex projective plane using point-line operators recently defined by the second author. In particular, we construct a…

math.AG2024★ 1 cited

Singular plane curves: freeness and combinatorics

Michael Cuntz, Piotr Pokora

In this paper we focus on various aspects of singular complex plane curves, mostly in the context of their homological properties and the associated combinatorial structures. We fo…

math.AG2024

Arrangements of inflectional lines, hyperosculating conics, and plane cubics

Artur Bromboszcz

In the present note we study some arrangements of inflectional lines, hyperosculating conics, and a nodal plane cubic that are free. Moreover, we study weak combinatorics of arrang…

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.

nlin.PS2023★ 3 cited

An effective description of the impact of inhomogeneities on the movement of the kink front in 2+1 dimensions

Jacek Gatlik, Tomasz Dobrowolski, Panayotis G. Kevrekidis

In the present work we explore the interaction of a one-dimensional kink-like front of the sine-Gordon equation moving in 2-dimensional spatial domains. We develop an effective equ…

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…

hep-ex2023★ 8 cited

Measurement of jet production in deep inelastic scattering and NNLO determination of the strong coupling at ZEUS

ZEUS Collaboration, I. Abt, R. Aggarwal +78

A new measurement of inclusive-jet cross sections in the Breit frame in neutral current deep inelastic scattering using the ZEUS detector at the HERA collider is presented. The dat…

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…

hep-ex2022★ 7 cited

Measurement of the cross-section ratio in exclusive photoproduction at HERA

ZEUS Collaboration, I. Abt, M. Adamus +80

The exclusive photoproduction reactions and have been measured at an centre-of-mass energy of 318 GeV with the ZEUS detector at HERA using…

hep-ex2021★ 12 cited

Azimuthal correlations in photoproduction and deep inelastic scattering at HERA

ZEUS collaboration, I. Abt, R. Aggarwal +81

Collective behaviour of final-state hadrons, and multiparton interactions are studied in high-multiplicity scattering at a centre-of-mass energy GeV with the ZE…

hep-ex2019★ 16 cited

Limits on contact interactions and leptoquarks at HERA

ZEUS Collaboration

High-precision HERA data corresponding to a luminosity of around 1 fb have been used in the framework of contact interactions (CI) to set limits on possible high-ener…