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20172022
most citedThe containment problem and a rational simplicial arrangement

1 citations · 2 across the 5 of their papers we have counts for

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math.AG20221 cited

Hadamard products of symbolic powers and Hadamard fat grids

I. Bahmani Jafarloo, C. Bocci, E. Guardo +1

In this paper we address the question if, for points , and we obtain different results according to the numb…

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.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.AG2018

Quartic unexpected curves and surfaces

Thomas Bauer, Grzegorz Malara, Tomasz Szemberg +1

Our research is motivated by recent work of Cook II, Harbourne, Migliore, and Nagel on configurations of points in the projective plane with properties that are unexpected from the…