Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Solerno, Pablo"'
We present bounds for the geometric degree of the tangent bundle and the tangential variety of a smooth affine algebraic variety $V$ in terms of the geometric degree of $V$. We first analyze the case of curves, showing an explicit relation between th
Externí odkaz:
http://arxiv.org/abs/2403.10661
Autor:
Jeronimo, Gabriela, Solernó, Pablo
Publikováno v:
In Advances in Applied Mathematics June 2023 147
Under mass-action kinetics, biochemical reaction networks give rise to polynomial autonomous dynamical systems whose parameters are often difficult to estimate. We deal in this paper with the problem of identifying the kinetic parameters of a class o
Externí odkaz:
http://arxiv.org/abs/1811.08336
We introduce a "workable" notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic B\'ezout Inequalities for the sum of two ideals in terms of this notion of degree and the degree of generators. We compute probab
Externí odkaz:
http://arxiv.org/abs/1701.04341
Publikováno v:
In Journal of Symbolic Computation September-October 2021 106:1-22
We prove an effective integrability criterion for differential-algebraic Pfaffian systems leading to a decision method of consistency with a triple exponential complexity bound. As a byproduct, we obtain an upper bound for the order of differentiatio
Externí odkaz:
http://arxiv.org/abs/1501.04941
Let V be a smooth equidimensional quasi-affine variety of dimension r over the complex numbers $C$ and let $F$ be a $(p\times s)$-matrix of coordinate functions of $C[V]$, where $s\ge p+r$. The pair $(V,F)$ determines a vector bundle $E$ of rank $s-p
Externí odkaz:
http://arxiv.org/abs/1306.3390
We give upper bounds for the differential Nullstellensatz in the case of ordinary systems of differential algebraic equations over any field of constants $K$ of characteristic $0$. Let $\vec{x}$ be a set of $n$ differential variables, $\vec{f}$ a fin
Externí odkaz:
http://arxiv.org/abs/1305.6298
This paper focuses on effectivity aspects of the L\"uroth's theorem in differential fields. Let $\mathcal{F}$ be an ordinary differential field of characteristic 0 and $\mathcal{F}$ be the field of differential rational functions generated by a si
Externí odkaz:
http://arxiv.org/abs/1202.6344
Autor:
D'Alfonso, Lisi, Jeronimo, Gabriella, Ollivier, François, Sedoglavic, Alexandre, Solernó, Pablo
This paper deals with the index reduction problem for the class of quasi-regular DAE systems. It is shown that any of these systems can be transformed to a generically equivalent first order DAE system consisting of a single purely algebraic (polynom
Externí odkaz:
http://arxiv.org/abs/1008.5080