activity
20172020
most citedThe containment problem and a rational simplicial arrangement

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

math.AG2020

Regularity and symbolic defect of points on rational normal curves

Iman Bahmani Jafarloo, Grzegorz Malara

In this paper we study ideals of points lying on rational normal curves defined in projective plane and projective -space. We give an explicit formula for the value of Casteln…

math.AC2019

Asymptotic invariants of generic initial ideals

Grzegorz Malara

Generic initial ideals (gins in short) were systematically introduced by Galligo in 1974 under the name of Grauert invariants since they appeared apparently first in works of Graue…

math.AG2019

Negative curves on special rational surfaces

Marcin Dumnicki, Lucja Farnik, Krishna Hanumanthu +4

We study negative curves on surfaces obtained by blowing up special configurations of points in the complex projective palne. Our main results concern the following configurations:…

math.AG2019

A matrixwise approach to unexpected hypersurfaces

Marcin Dumnicki, Lucja Farnik, Brian Harbourne +3

The aim of this note is to give a generalization of some results concerning unexpected hypersurfaces. Unexpected hypersurfaces occur when the actual dimension of the space of forms…

math.AG2018

New phenomena in the containment problem for simplicial arrangements

Marek Janasz, Magdalena Lampa-Baczyńska, Grzegorz Malara

In this note we consider two simplicial arrangements of lines and ideals of intersection points of these lines. There are intersection points in both cases and the number…

math.AG20171 cited

The containment problem and a rational simplicial arrangement

G. Malara, J. Szpond

Since Dumnicki, Szemberg and Tutaj-Gasińska gave in 2013 in [9] the first example of a set of points in the complex projective plane such that for its homogeneous ideal I the conta…