Results 1 to 10 of about 786 (43)

Arquile Varieties – Varieties Consisting of Power Series in a Single Variable

Forum of Mathematics, Sigma, 2021
Spaces of power series solutions $y(\mathrm {t})$ in one variable $\mathrm {t}$ of systems of polynomial, algebraic, analytic or formal equations $f(\mathrm {t},\mathrm {y})=0$ can be viewed as ‘infinite-dimensional’ varieties over ...
Herwig Hauser, Sebastian Woblistin
doaj   +1 more source

Geometric vertex decomposition and liaison

Forum of Mathematics, Sigma, 2021
Geometric vertex decomposition and liaison are two frameworks that have been used to produce similar results about similar families of algebraic varieties. In this paper, we establish an explicit connection between these approaches.
Patricia Klein, Jenna Rajchgot
doaj   +1 more source

The complexity of MinRank [PDF]

, 2019
In this note, we leverage some of our results from arXiv:1706.06319 to produce a concise and rigorous proof for the complexity of the generalized MinRank Problem in the under-defined and well-defined case.
Caminata, Alessio, Gorla, Elisa
core   +2 more sources

On algebraic characterization of SSC of the Jahangir’s graph 𝓙n,m

Open Mathematics, 2018
In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex Δs(𝓙n,m) of the Jahangir’s graph 𝓙n,m are explored. We show that Δs(𝓙n,m) is pure, present the formula for f-vectors associated to it and hence deduce a ...
Raza Zahid, Kashif Agha, Anwar Imran
doaj   +1 more source

Strongly stable ideals and Hilbert polynomials [PDF]

, 2018
The \texttt{StronglyStableIdeals} package for \textit{Macaulay2} provides a method to compute all saturated strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial.
Alberelli, Davide, Lella, Paolo
core   +2 more sources

On the first fall degree of summation polynomials

Journal of Mathematical Cryptology, 2019
We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.
Kousidis Stavros, Wiemers Andreas
doaj   +1 more source

Some remarks on Borel type ideals

, 2007
We give new equivalent characterizations for ideals of Borel type. Also, we prove that the regularity of a product of ideals of Borel type is bounded by the sum of the regularities of those ideals.Comment: 5 ...
Cimpoeas, Mircea
core   +1 more source

Increasing subsequences, matrix loci and Viennot shadows

Forum of Mathematics, Sigma
Let ${\mathbf {x}}_{n \times n}$ be an $n \times n$ matrix of variables, and let ${\mathbb {F}}[{\mathbf {x}}_{n \times n}]$ be the polynomial ring in these variables over a field ${\mathbb {F}}$ .
Brendon Rhoades
doaj   +1 more source

The Symmetric Algebra for Certain Monomial Curves [PDF]

, 2011
In this article we compute a minimal Groebner basis for the symmetric algebra for certain affine Monomial Curves, as an R-module. Keywords: Monomial Curves, Groebner Basis, Symmetric Algebra. Mathematics Subject Classification 2000: 13P10, 13A30
Mukhopadhyay, Debasish
core  

On the Stanley depth of powers of some classes of monomial ideals

, 2016
Given arbitrary monomial ideals $I$ and $J$ in polynomial rings $A$ and $B$ over a field $K$, we investigate the Stanley depth of powers of the sum $I+J$, and their quotient rings, in $A\otimes_K B$ in terms of those of $I$ and $J$.
Cimpoeas, Mircea
core   +1 more source