Zobrazeno 1 - 10
of 174
pro vyhledávání: '"Szemberg, Tomasz"'
Autor:
Chiantini, Luca, Farnik, Łucja, Favacchio, Giuseppe, Harbourne, Brian, Migliore, Juan, Szemberg, Tomasz, Szpond, Justyna
In this note we introduce the notion of $(b,d)$-geprofi sets and study their basic properties. These are sets of $bd$ points in $\mathbb{P}^4$ whose projection from a general point to a hyperplane is a full intersection, i.e., the intersection of a c
Externí odkaz:
http://arxiv.org/abs/2407.01744
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
Autor:
Chiantini, Luca, De Poi, Pietro, Farnik, Lucja, Favacchio, Giuseppe, Harbourne, Brian, Ilardi, Giovanna, Migliore, Juan, Szemberg, Tomasz, Szpond, Justyna
The purpose of this work is to pursue classification of geproci sets. Specifically we classify $[m,n]$-geproci sets which consist of $m=4$ points on each of $n$ skew lines, assuming the skew lines have two transversals in common. We show that in this
Externí odkaz:
http://arxiv.org/abs/2312.04644
Autor:
Chiantini, Luca, Farnik, Łucja, Favacchio, Giuseppe, Harbourne, Brian, Migliore, Juan, Szemberg, Tomasz, Szpond, Justyna
Geproci sets of points in $\mathbb P^3$ are sets whose general projections to $\mathbb P^2$ are complete intersections. The first nontrivial geproci sets came from representation theory, as projectivizations of the root systems $D_4$ and $F_4$. In mo
Externí odkaz:
http://arxiv.org/abs/2308.00761
Autor:
Chiantini, Luca, Farnik, Lucja, Favacchio, Giuseppe, Harbourne, Brian, Migliore, Juan, Szemberg, Tomasz, Szpond, Justyna
In this short note we develop new methods toward the ultimate goal of classifying geproci sets in $\mathbb P^3$. We apply these methods to show that among sets of $16$ points distributed evenly on $4$ skew lines, up to projective equivalence there ar
Externí odkaz:
http://arxiv.org/abs/2303.16263
Autor:
Szemberg, Tomasz, Szpond, Justyna
The purpose of this note is to report, in narrative rather than rigorous style, about the nice geometry of $6$-division points on the Fermat cubic $F$ and various conics naturally attached to them. Most facts presented here were derived by symbolic a
Externí odkaz:
http://arxiv.org/abs/2211.00494
Autor:
Chiantini, Luca, Farnik, Łucja, Favacchio, Giuseppe, Harbourne, Brian, Migliore, Juan, Szemberg, Tomasz, Szpond, Justyna
We call a set of points $Z\subset{\mathbb P}^{3}_{\mathbb C}$ an $(a,b)$-geproci set (for GEneral PROjection is a Complete Intersection) if its projection from a general point $P$ to a plane is a complete intersection of curves of degrees $a$ and $b$
Externí odkaz:
http://arxiv.org/abs/2209.04820
Autor:
Szemberg, Tomasz, Szpond, Justyna
Publikováno v:
In Journal of Symbolic Computation January-February 2024 120
Autor:
Di Gennaro, Roberta, Ilardi, Giovanna, Miró-Roig, Rosa Maria, Szemberg, Tomasz, Szpond, Justyna
Unexpected hypersurfaces are a brand name for some special linear systems. They were introduced around 2017 and are a field of intensive study since then. They attracted a lot of attention because of their close tights to various other areas of mathe
Externí odkaz:
http://arxiv.org/abs/2101.07346
Publikováno v:
Michigan Math. J. 74: 599 - 615 (2024)
Felix Klein in course of his study of the regular icosahedron and its symmetries encountered a highly symmetric configuration of $60$ points in ${\mathbb P}^3$. This configuration has appeared in various guises, perhaps post notably as the configurat
Externí odkaz:
http://arxiv.org/abs/2010.08863