3 papers
math.AG2026
Degrees and directional defects of embedded algebraic vector bundles
Leonardo Lanciano
We develop a unified defect theory for embedded algebraic vector bundles which places several classical constructions within a common framework. The theory recovers tangential, dua…
math.AG2026
New bounds for the support of input-output equations in differential-algebraic systems
Gabriela Jeronimo, Leonardo Lanciano
Given a polynomial dynamical system together with an observation function , where $\mathbf{x}=(x_1,\ldot…
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…