Complex rational maps have been used to construct birational quadratic maps based on two
special syzygies of degree one. Similar to complex rational curves, rational curves over …

We give formulas and effective sharp bounds for the degree of multi‐graded rational maps
and provide some effective and computable criteria for birationality in terms of their algebraic …

We study the nonlinear generalization of the classical multiview variety, which is a
fundamental concept in computer vision. In this paper, we take the first comprehensive step …

One considers the behavior of the degree of a rational map under specialization of the
coefficients of the defining linear system. The method rests on the classical idea of …

A tri-linear rational map in dimension three is a rational map $\phi:(\mathbb {P} _\mathbb
{C}^ 1)^ 3\dashrightarrow\mathbb {P} _\mathbb {C}^ 3$ defined by four tri-linear polynomials …

We present a method to construct quadratic birational planar maps, which is based on the
observation that any rational planar map with complex rational representation possesses …

We provide effective methods to construct and manipulate trilinear birational maps
$\phi:(\mathbb {P}^ 1)^ 3\dashrightarrow\mathbb {P}^ 3$ by establishing a novel connection …

Let $ R $ be a polynomial ring and let $ I\subset R $ be a perfect ideal of height two
minimally generated by forms of the same degree. We provide a formula for the multiplicity of …

One considers the behavior of the degree of a rational map under specialization of the
coefficients of the defining linear system. The method rests on the classical idea of …

Let R be a polynomial ring over a field and let I⊂ R be a Gorenstein ideal of height three that
is minimally generated by homogeneous polynomials of the same degree. We compute the …