Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Harbourne, B."'
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
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
In a recent paper by Cook, et al., which introduced the concept of unexpected plane curves, the focus was on understanding the geometry of the curves themselves. Here we expand the definition to hypersurfaces of any dimension and, using constructions
Externí odkaz:
http://arxiv.org/abs/1805.10626
Publikováno v:
In Advances in Mathematics 17 September 2021 388
Star configurations are certain unions of linear subspaces of projective space that have been studied extensively. We develop a framework for studying a substantial generalization, which we call matroid configurations, whose ideals generalize Stanley
Externí odkaz:
http://arxiv.org/abs/1507.00380
Autor:
Catalisano, M. V., Geramita, A. V., Gimigliano, A., Harbourne, B., Migliore, J., Nagel, U., Shin, Y. S.
Given the space $V={\mathbb P}^{\binom{d+n-1}{n-1}-1}$ of forms of degree $d$ in $n$ variables, and given an integer $\ell>1$ and a partition $\lambda$ of $d=d_1+\cdots+d_r$, it is in general an open problem to obtain the dimensions of the $\ell$-sec
Externí odkaz:
http://arxiv.org/abs/1502.00167
Autor:
Catalisano, M.V., Geramita, A.V., Gimigliano, A., Harbourne, B., Migliore, J., Nagel, U., Shin, Y.S.
Publikováno v:
In Journal of Algebra 15 June 2019 528:381-438
Autor:
Guardo, E., Harbourne, B.
Publikováno v:
Journal of Algebra, 320 (2008) 3519-3533
This paper is a sequel to the paper \cite{refGH}. We relate the matroid notion of a combinatorial geometry to a generalization which we call a configuration type. Configuration types arise when one classifies the Hilbert functions and graded Betti nu
Externí odkaz:
http://arxiv.org/abs/1204.3015
Star configurations are certain unions of linear subspaces of projective space. They have appeared in several different contexts: the study of extremal Hilbert functions for fat point schemes in the plane; the study of secant varieties of some classi
Externí odkaz:
http://arxiv.org/abs/1203.5685
In this paper we discuss some variations of Nagata's conjecture on linear systems of plane curves. The most relevant concerns non-effectivity (hence nefness) of certain rays, which we call \emph{good rays}, in the Mori cone of the blow-up $X_n$ of th
Externí odkaz:
http://arxiv.org/abs/1202.0475