Zobrazeno 1 - 10
of 586
pro vyhledávání: '"A, Gasińska"'
Autor:
Dumnicki, Marcin, Van, Mikolaj Le, Malara, Grzegorz, Szemberg, Tomasz, Szpond, Justyna, Tutaj-Gasinska, Halszka
The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good postulation. Our approach uses specialization to a hyperplane and thu
Externí odkaz:
http://arxiv.org/abs/2411.11379
In this paper, we construct an infinite series of line arrangements in characteristic two, each featuring only triple intersection points. This finding challenges the existing conjecture that suggests the existence of only a finite number of such arr
Externí odkaz:
http://arxiv.org/abs/2401.14766
We present a construction explaining the existence of (unexpected) curves of degree $d+k$, passing through a set $Z$ of points on $\mathbb{P}^2$, and having a generic point $P$ of multiplicity $d$. The construction is based on the syzygies of the $k$
Externí odkaz:
http://arxiv.org/abs/2109.00769
Publikováno v:
Geometriae Dedicata 214(1): 49 -- 63 (2021)
In this note we study curves (arrangements) in the complex projective plane which can be considered as generalizations of free curves. We construct families of arrangements which are nearly free and possess interesting geometric properties. More gene
Externí odkaz:
http://arxiv.org/abs/2007.04162
Autor:
Pokora, Piotr, Tutaj-Gasinska, Halszka
Publikováno v:
Journal of Pure and Applied Algebra 225(10): ID 106709 - 9 pages (2021)
The main purpose of the note is to exclude the existence of certain submaximal curves in fake projective planes. This will lead to lower bounds on multipoint Seshadri constants of `fake' $\mathcal{O}(1)$ on fake projective planes.
Comment: 9 pag
Comment: 9 pag
Externí odkaz:
http://arxiv.org/abs/1910.06743
Autor:
Dumnicki, Marcin, Farnik, Lucja, Hanumanthu, Krishna, Malara, Grzegorz, Szemberg, Tomasz, Szpond, Justyna, Tutaj-Gasinska, Halszka
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: very general points on a cubic, 3-torsion points on an elliptic curve
Externí odkaz:
http://arxiv.org/abs/1909.05899
Autor:
Dumnicki, Marcin, Farnik, Lucja, Harbourne, Brian, Malara, Grzegorz, Szpond, Justyna, Tutaj-Gasinska, Halszka
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 satisfying certain vanishing data is positive and the imposed vanishi
Externí odkaz:
http://arxiv.org/abs/1907.04832
Veneroni maps are a class of birational transformations of projective spaces. This class contains the classical Cremona transformation of the plane, the cubo-cubic transformation of the space and the quatro-quartic transformation of $\mathbb{P}^4$. T
Externí odkaz:
http://arxiv.org/abs/1906.02410
In the paper we present new examples of unexpected varieties. The research on unexpected varieties started with a paper of Cook II, Harbourne, Migliore and Nagel and was continued in the paper of Harbourne, Migliore, Nagel and Teitler. Here we presen
Externí odkaz:
http://arxiv.org/abs/1904.03251
We study linear systems of surfaces in $\mathbb{P}^3$ singular along general lines. Our purpose is to identify and classify special systems of such surfaces, i.e., those nonempty systems where the conditions imposed by the multiple lines are not inde
Externí odkaz:
http://arxiv.org/abs/1901.03725