AbstractA central division algebra over the field of rational functions in two variables with coefficients over an algebraically closed field ramifies along a divisor on the projective plane. If the ramification divisor is a quartic curve which is the union of a nodal cubic and a line, we show that the division algebra is a symbol algebra and satisfies the “index equals exponent” equation
summary:If $K$ is the splitting field of the polynomial $f(x)=x^4+px^2+p$ and $p$ is a rational prim...
AbstractLet K[x,y] be the polynomial algebra in two variables over a field K of characteristic 0. In...
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. ...
Abstract. Let k be an algebraically closed field of characteristic 0. We prove that any division alg...
Abstract. Let k be an algebraically closed field of characteristic 0. We prove that any division alg...
AbstractIn this paper we study division algebras over the function fields of curves over Qp. The fir...
AbstractLet k be a field of characteristic not two. To each irreducible quartic f(x) over k we assoc...
The simplest non-trivial division algebras that can be constructed over a rational function field in...
AbstractLet G be the Galois group of a Galois point for a plane curve C. An element of G induces a b...
AbstractLet a rational real algebraic curve Γ of degree n in the real projective plane (x,y,z) be gi...
We show that any smooth projective cubic hypersurface of dimension at least 29 over the rationals co...
AbstractLet α be a rational number and m a positive integer. In this paper it is determined which of...
International audienceGiven a parametrization of a rational plane algebraic curve C, some explicit a...
AbstractGiven a parametrization of a rational plane algebraic curve C, some explicit adjoint pencils...
AbstractWe determine the number of Fq-rational points of a class of Artin–Schreier curves by using r...
summary:If $K$ is the splitting field of the polynomial $f(x)=x^4+px^2+p$ and $p$ is a rational prim...
AbstractLet K[x,y] be the polynomial algebra in two variables over a field K of characteristic 0. In...
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. ...
Abstract. Let k be an algebraically closed field of characteristic 0. We prove that any division alg...
Abstract. Let k be an algebraically closed field of characteristic 0. We prove that any division alg...
AbstractIn this paper we study division algebras over the function fields of curves over Qp. The fir...
AbstractLet k be a field of characteristic not two. To each irreducible quartic f(x) over k we assoc...
The simplest non-trivial division algebras that can be constructed over a rational function field in...
AbstractLet G be the Galois group of a Galois point for a plane curve C. An element of G induces a b...
AbstractLet a rational real algebraic curve Γ of degree n in the real projective plane (x,y,z) be gi...
We show that any smooth projective cubic hypersurface of dimension at least 29 over the rationals co...
AbstractLet α be a rational number and m a positive integer. In this paper it is determined which of...
International audienceGiven a parametrization of a rational plane algebraic curve C, some explicit a...
AbstractGiven a parametrization of a rational plane algebraic curve C, some explicit adjoint pencils...
AbstractWe determine the number of Fq-rational points of a class of Artin–Schreier curves by using r...
summary:If $K$ is the splitting field of the polynomial $f(x)=x^4+px^2+p$ and $p$ is a rational prim...
AbstractLet K[x,y] be the polynomial algebra in two variables over a field K of characteristic 0. In...
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. ...