We investigate the. Gröbner basis degree depending on the ideal dimension and establish lower and upper bounds which are single exponential in the number of ...

We modify both constructions in order to give worst case bounds depending on the ideal dimension proving that deg ( G ) = d n Θ ( 1 ) 2 Θ ( r ) for r - ...

May 8, 2017 · Abstract:We improve certain degree bounds for Grobner bases of polynomial ideals in generic position.

We improve certain degree bounds for Grobner bases of polynomial ideals in generic position. We work exclusively in deterministically verifiable and ...

ABSTRACT. We improve certain degree bounds for Gröbner bases of poly- nomial ideals in generic position. We work exclusively in de-.

Let $F$ be a non-negatively graded free module over a polynomial ring $\mathbb{K}[x_1,\dots,x_n]$ generated by $m$ basis elements.

Given a basis F of a polynomial ideal I in K[x"1,...,x"n] with degrees deg(F)@?d, the degrees of the reduced Grobner basis G w.r.t. any admissible monomial ...

Given a basis FF of a polynomial ideal II in K[x1,…,xn]K[x1,…,xn] with degrees deg(F)≤ddeg(F)≤d, the degrees of the reduced Gröbner basis GG w.r.t. any ...

Abstract. We improve certain upper bounds for the degree of Gröbner bases and the Castelnuovo-Mumford regularity of polynomial ideals.

The main contributions are upper and lower bounds for Gröbner bases depending on the ideal dimension and some results for toric ideals. In the second part, ...