Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Nicklasson, Lisa"'
We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in degrees 1 and $n-1$ when the characteristic is not two, where $n$ is t
Externí odkaz:
http://arxiv.org/abs/2306.04393
Publikováno v:
Journal of Algebra, Volume 649 (2024), Pages 12-34
We consider homogeneous binomial ideals $I=(f_1,\ldots,f_n)$ in $K[x_1, \ldots, x_n]$, where $f_i = a_i x_i^{d_i} - b_i m_i$ and $a_i \neq 0$. When such an ideal is a complete intersection, we show that the monomials which are not divisible by $x_i^{
Externí odkaz:
http://arxiv.org/abs/2305.06835
Autor:
Gasanova, Oleksandra, Nicklasson, Lisa
Publikováno v:
Journal of Algebraic Combinatorics, Volume 59, pages 473-494, (2024)
We introduce a family of toric algebras defined by maximal chains of a finite distributive lattice. Applying results on stable set polytopes we conclude that every such algebra is normal and Cohen-Macaulay, and give an interpretation of its Krull dim
Externí odkaz:
http://arxiv.org/abs/2304.04810
Autor:
Abdallah, Nancy, Altafi, Nasrin, De Poi, Pietro, Fiorindo, Luca, Iarrobino, Anthony, Marques, Pedro Macias, Mezzetti, Emilia, Miró-Roig, Rosa M., Nicklasson, Lisa
We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Perazzo threefolds, for which we prove that the Hilbert functions are al
Externí odkaz:
http://arxiv.org/abs/2303.16768
Publikováno v:
Journal of Algebra, Volume 626 (2023), Pages 82-108
In this paper, we consider the homogeneous coordinate rings $A(Y_{n,d}) \cong \mathbb{K}[\Omega_{n,d}]$ of monomial projections $Y_{n,d}$ of Veronese varieties parameterized by subsets $\Omega_{n,d}$ of monomials of degree $d$ in $n+1$ variables wher
Externí odkaz:
http://arxiv.org/abs/2303.09582
Autor:
Nicklasson, Lisa
Publikováno v:
SIAM Journal on Applied Algebra and Geometry. Vol. 7, no 3 (2023), p. 549-566
In this paper we study Bayesian networks from a commutative algebra perspective. We characterize a class of toric Bayesian nets, and provide the first example of a Bayesian net which is proved non-toric under any linear change of variables. Concernin
Externí odkaz:
http://arxiv.org/abs/2208.06294
Publikováno v:
Journal of Symbolic Computation, Volume 123, 2024
We study linear PDE with constant coefficients. The constant rank condition on a system of linear PDEs with constant coefficients is often used in the theory of compensated compactness. While this is a purely linear algebraic condition, the nonlinear
Externí odkaz:
http://arxiv.org/abs/2112.12663
Publikováno v:
In Journal of Algebra 1 July 2024 649:12-34
Publikováno v:
In Journal of Symbolic Computation July-August 2024 123
Publikováno v:
Journal of Symbolic Computation, Volume 113, 2022, Pages 242-268
A staged tree model is a discrete statistical model encoding relationships between events. These models are realised by directed trees with coloured vertices. In algebro-geometric terms, the model consists of points inside a toric variety. For certai
Externí odkaz:
http://arxiv.org/abs/2107.04516