AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a rational parametrization of the surface and construct one in the affirmative case. We define and use the Lie algebra of the surface to reach the aim
AbstractIt is well known that a Severi–Brauer surface has a rational point if and only if it is isom...
AbstractThe main result of this paper is an upper bound for the degree of the smallest parameterizat...
This paper deals with the decision problem of the surjectivity of a rational surface parametrization...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
AbstractIt is well known that a Severi–Brauer surface has a rational point if and only if it is isom...
Abstract. We discuss the problem of existence of rational curves on a certain del Pezzo surface from...
AbstractIt is well known that every Del Pezzo surface of degree 5 defined over a field k is parametr...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
This thesis contains results on the arithmetic and geometry of del Pezzo surfaces of degree 1.In Cha...
We present an algorithm that covers any given rational ruled surface with two rational parametrizati...
AbstractIt is well known that a real algebraic surface is real rational if and only if it is complex...
AbstractWe discuss rational parameterizations of surfaces whose support functions are rational funct...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
AbstractWe give a characterization of all del Pezzo surfaces of degree 6 over an arbitrary field F. ...
AbstractIt is well known that a Severi–Brauer surface has a rational point if and only if it is isom...
AbstractThe main result of this paper is an upper bound for the degree of the smallest parameterizat...
This paper deals with the decision problem of the surjectivity of a rational surface parametrization...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
AbstractIt is well known that a Severi–Brauer surface has a rational point if and only if it is isom...
Abstract. We discuss the problem of existence of rational curves on a certain del Pezzo surface from...
AbstractIt is well known that every Del Pezzo surface of degree 5 defined over a field k is parametr...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
This thesis contains results on the arithmetic and geometry of del Pezzo surfaces of degree 1.In Cha...
We present an algorithm that covers any given rational ruled surface with two rational parametrizati...
AbstractIt is well known that a real algebraic surface is real rational if and only if it is complex...
AbstractWe discuss rational parameterizations of surfaces whose support functions are rational funct...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
AbstractWe give a characterization of all del Pezzo surfaces of degree 6 over an arbitrary field F. ...
AbstractIt is well known that a Severi–Brauer surface has a rational point if and only if it is isom...
AbstractThe main result of this paper is an upper bound for the degree of the smallest parameterizat...
This paper deals with the decision problem of the surjectivity of a rational surface parametrization...
DOI
Add to ORKG