With any \emph{surjective rational map} $f: \mathbb{P}^n \dashrightarrow \mathbb{P}^n$ of the projective space we associate a numerical invariant (\emph{ML degree}) and compute it in terms of a naturally defined vector bundle $E_f \longrightarrow \mathbb{P}^n$.Comment: 4 pages; the text has been revised following the referee's suggestion
In this paper we consider the nondegenerate projectively Cohen-Macaulay (p.C.M.) surfaces of small d...
The aim of this note is to investigate the relation between two types of non-singular projective var...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...
Let BG be the classifying space of an algebraic group over the complex field C. We compute a new sta...
Let F(r, d) denote the moduli space of algebraic foliations of codimension one and degree d in compl...
AbstractThe hypersurfaces of degree d in the projective space Pn correspond to points of PN, where N...
Given a rational dominant map $\phi: Y \dashrightarrow X$ between two generic hypersurfaces $Y,X \su...
AbstractA recent proof that the Grassmannian G1,n,2 of lines of PG(n,2) has polynomial degree n2-1 i...
AbstractFrom Mason's theorem on rational function fields (the progenitor of the abc-conjecture) we i...
AbstractLet F:V→Cm be a regular mapping, where V⊂Cn is an algebraic set of positive dimension and m⩾...
We resolve Schinzel’s Hypothesis (H) for 100% of polynomials of arbitrary degrees. We deduce that a ...
We resolve Schinzel’s Hypothesis (H) for 100% of polynomials of arbitrary degrees. We deduce that a ...
Let s(n, q) be the smallest number s such that any n-fold Fq-valued interpolation problem in Pk Fq h...
Let s(n, q) be the smallest number s such that any n-fold Fq-valued interpolation problem in Pk Fq h...
We resolve Schinzel’s Hypothesis (H) for 100% of polynomials of arbitrary degrees. We deduce that a ...
In this paper we consider the nondegenerate projectively Cohen-Macaulay (p.C.M.) surfaces of small d...
The aim of this note is to investigate the relation between two types of non-singular projective var...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...
Let BG be the classifying space of an algebraic group over the complex field C. We compute a new sta...
Let F(r, d) denote the moduli space of algebraic foliations of codimension one and degree d in compl...
AbstractThe hypersurfaces of degree d in the projective space Pn correspond to points of PN, where N...
Given a rational dominant map $\phi: Y \dashrightarrow X$ between two generic hypersurfaces $Y,X \su...
AbstractA recent proof that the Grassmannian G1,n,2 of lines of PG(n,2) has polynomial degree n2-1 i...
AbstractFrom Mason's theorem on rational function fields (the progenitor of the abc-conjecture) we i...
AbstractLet F:V→Cm be a regular mapping, where V⊂Cn is an algebraic set of positive dimension and m⩾...
We resolve Schinzel’s Hypothesis (H) for 100% of polynomials of arbitrary degrees. We deduce that a ...
We resolve Schinzel’s Hypothesis (H) for 100% of polynomials of arbitrary degrees. We deduce that a ...
Let s(n, q) be the smallest number s such that any n-fold Fq-valued interpolation problem in Pk Fq h...
Let s(n, q) be the smallest number s such that any n-fold Fq-valued interpolation problem in Pk Fq h...
We resolve Schinzel’s Hypothesis (H) for 100% of polynomials of arbitrary degrees. We deduce that a ...
In this paper we consider the nondegenerate projectively Cohen-Macaulay (p.C.M.) surfaces of small d...
The aim of this note is to investigate the relation between two types of non-singular projective var...
We show that the topological Pontryagin classes are algebraically independent in the rationalised co...