Zobrazeno 1 - 10
of 213
pro vyhledávání: '"Migliore, J."'
Publikováno v:
Alg. Number Th. 16 (2022) 155-178
In this note we show that the complete symmetric polynomials are dual generators of compressed artinian Gorenstein algebras satisfying the Strong Lefschetz Property. This is the first example of an explicit dual form with these properties. For comple
Externí odkaz:
http://arxiv.org/abs/2009.13002
We introduce the use of liaison addition to the study of hyperplane arrangements. For an arrangement, $\mathcal A$, of hyperplanes in $\mathbb P^n$, $\mathcal A$ is free if $R/J$ is Cohen-Macaulay, where $J$ is the Jacobian ideal of $\mathcal A$. Ter
Externí odkaz:
http://arxiv.org/abs/1908.03939
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
Publikováno v:
In Journal of Pure and Applied Algebra April 2019 223(4):1456-1471
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
Two approaches for determining Hilbert functions of fat point subschemes of $\mathbb P^2$ are demonstrated. A complete determination of the Hilbert functions which occur for 9 double points is given using the first approach, extending results obtaine
Externí odkaz:
http://arxiv.org/abs/1101.5140