Zobrazeno 1 - 10
of 259
pro vyhledávání: '"SIMIS, ARON"'
Yuzvinsky and Rose-Terao have shown that the homological dimension of the gradient ideal of the defining polynomial of a generic hyperplane arrangement is maximum possible. In this work one provides yet another proof of this result, which in addition
Externí odkaz:
http://arxiv.org/abs/2408.13579
Autor:
Ramos, Zaqueu, Simis, Aron
The main goal of the paper is the discussion of a deeper interaction between matrix theory over polynomial rings over a field and typical methods of commutative algebra and related algebraic geometry. This is intended in the sense of bringing numeric
Externí odkaz:
http://arxiv.org/abs/2406.04266
In this article, we study the generalized Poincare problem from the opposite perspective, by establishing lower bounds on the degree of the vector field in terms of invariants of the variety.
Comment: 51 pages
Comment: 51 pages
Externí odkaz:
http://arxiv.org/abs/2403.09870
Bourbaki sequences and Bourbaki ideals have been studied by several authors since its inception sixty years ago circa. Generic Bourbaki sequences have been thoroughly examined by the senior author with B. Ulrich and W. Vasconcelos, but due to their n
Externí odkaz:
http://arxiv.org/abs/2308.11467
Autor:
Ramos, Zaqueu, Simis, Aron
A generalization of the plane de Jonqui\`eres transformation to arbitrary dimension is studied, with an eye for the ideal theoretic side. In particular, one considers structural properties of the corresponding base ideal and of its defining relations
Externí odkaz:
http://arxiv.org/abs/2109.10479
Let $\mathcal{A}$ denote a central hyperplane arrangement of rank $n$ in affine space $\mathbb{K}^n$ over an infinite field $\mathbb{K}$ and let $l_1,\ldots, l_m\in R:= \mathbb K[x_1,\ldots,x_n]$ denote the linear forms defining the corresponding hyp
Externí odkaz:
http://arxiv.org/abs/2101.02735
Autor:
Ramos, Zaqueu, Simis, Aron
The overall goal is to approach the Cohen--Macaulay property of the special fiber $\mathcal{F}(I)$ of an equigenerated homogeneous ideal $I$ in a standard graded ring over an infinite field. When the ground ring is assumed to be local, the subject ha
Externí odkaz:
http://arxiv.org/abs/2009.07355
We focus on the structure of a homogeneous Gorenstein ideal $I$ of codimension three in a standard polynomial ring $R=\kk[x_1,\ldots,x_n]$ over a field $\kk$, assuming that $I$ is generated in a fixed degree $d$. For such an ideal $I$ this degree com
Externí odkaz:
http://arxiv.org/abs/2005.12953