Zobrazeno 1 - 10
of 725
pro vyhledávání: '"14n20"'
Autor:
Roulleau, Xavier
We describe a new infinite family of line arrangements in the projective plane with only triple points singularities and recover previously known examples.
Comment: 6 pages, comments welcome
Comment: 6 pages, comments welcome
Externí odkaz:
http://arxiv.org/abs/2412.19334
The ABCT variety is defined as the closure of the image of $G(2,n)$ under the Veronese map. We realize the ABCT variety $V(3,n)$ as the determinantal variety of a vector bundle morphism. We use this to give a recursive formula for the fundamental cla
Externí odkaz:
http://arxiv.org/abs/2412.12514
Autor:
Pokora, Piotr
We define a combinatorial object that can be associated with any conic-line arrangement with ordinary singularities, which we call the combinatorial Poincar\'e polynomial. We prove a Terao-type factorization statement on the splitting of such a polyn
Externí odkaz:
http://arxiv.org/abs/2412.08436
Autor:
Suluyer, Hasan
In this paper, we study the restrictions on the number $m$ of conic-line curves in special pencils. The most general result we obtain is an upper bound on $m$: it cannot exceed 6. We construct a one-parameter family of pencils such that each pencil i
Externí odkaz:
http://arxiv.org/abs/2412.06928
The Euler discriminant of a family of very affine varieties is defined as the locus where the Euler characteristic drops. In this work, we study the Euler discriminant of families of complements of hyperplanes. We prove that the Euler discriminant is
Externí odkaz:
http://arxiv.org/abs/2411.19696
Autor:
Manturov, Vassily Olegovich
In the present paper, we construct an invariant of braids in the real projective plane which corresponds to an ``action'' of braids on certain graphs in $\R{}P^{2}$ with labels. This paper is a sequel of papers \cite{M},\cite{KM}. It demonstrates onc
Externí odkaz:
http://arxiv.org/abs/2411.18991
Autor:
Karmakar, Rupam, Sarkar, Rajib
In this article, we investigate the existence of induced cycles in Levi graphs associated to line arrangements in $\mathbb{P}_{\mathbb{C}}^2$. We also look at the problem of finding the length of a longest induced cycle in Levi graphs associated to l
Externí odkaz:
http://arxiv.org/abs/2411.18488
Autor:
Bromboszcz, Artur
In this note we focus on combinatorial aspects of plus-one generated line arrangements. We provide combinatorial constraints on such arrangements and we present new examples of plus-one generated arrangements constructed by using classical Klein and
Externí odkaz:
http://arxiv.org/abs/2411.17317
This article introduces the theory of Veronese polytopes, a broad generalisation of cyclic polytopes. These arise as convex hulls of points on curves with one or more connected components, obtained as the image of the rational normal curve in affine
Externí odkaz:
http://arxiv.org/abs/2411.13702
We develop novel tools for computing the likelihood correspondence of an arrangement of hypersurfaces in a projective space. This uses the module of logarithmic derivations. This object is well-studied in the linear case, when the hypersurfaces are h
Externí odkaz:
http://arxiv.org/abs/2411.09508