3 papers
math.AG2024
On the geometric degree of the tangent bundle of a smooth algebraic variety
Gabriela Jeronimo, Leonardo Lanciano, Pablo Solernó
We present bounds for the geometric degree of the tangent bundle and the tangential variety of a smooth affine algebraic variety in terms of the geometric degree of . We fir…
math.AC2012
Effective Differential Lüroth's Theorem
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solernó
This paper focuses on effectivity aspects of the Lüroth's theorem in differential fields. Let be an ordinary differential field of characteristic 0 and $\mathcal{F}<u…
math.AC2008
On the Index and the Order of Quasi-regular Implicit Systems of Differential Equations
Lisi D'Alfonso, Gabriela Jeronimo, Gustavo Massaccesi +1
This paper is mainly devoted to the study of the differentiation index and the order for quasi-regular implicit ordinary differential algebraic equation (DAE) systems. We give an a…