Add to ORKGAbstract. We discuss the problem of existence of rational curves on a certain del Pezzo surface from a computational point of view and suggest a computer algorithm implementing search. In particular, our computations reveal that the surface contains 920 rational curves with parametrizations of degree 8 and does not contain rational curves for a smaller degree. 1
An erroneous remark has been deleted. The main result concerns now only non-isotrivial elliptic K3 s...
Let S be a smooth cubic surface over a finite field q. It is known that #S( q) = 1 + aq + q2 for so...
In this paper we describe algorithms to find the shape of a real algebraic curve in P2 and the topol...
Among geometrically rational surfaces, del Pezzo surfaces of degree two over a field k containing at...
Among geometrically rational surfaces, del Pezzo surfaces of degree 2 over a field k containing at l...
This thesis contains results on the arithmetic and geometry of del Pezzo surfaces of degree 1.In Cha...
Abstract. For any number field k, upper bounds are established for the number of k-rational points o...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
This paper gives a bound on the number of rational points on an absolutely irreducible curve C lying...
This paper gives a bound on the number of rational points on an absolutely irreducible curve C lying...
This paper gives a bound on the number of rational points on an absolutely irreducible curve C lying...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
An erroneous remark has been deleted. The main result concerns now only non-isotrivial elliptic K3 s...
Let S be a smooth cubic surface over a finite field q. It is known that #S( q) = 1 + aq + q2 for so...
In this paper we describe algorithms to find the shape of a real algebraic curve in P2 and the topol...
Among geometrically rational surfaces, del Pezzo surfaces of degree two over a field k containing at...
Among geometrically rational surfaces, del Pezzo surfaces of degree 2 over a field k containing at l...
This thesis contains results on the arithmetic and geometry of del Pezzo surfaces of degree 1.In Cha...
Abstract. For any number field k, upper bounds are established for the number of k-rational points o...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
AbstractFor a Del Pezzo surface of degree 8 given over the rationals we decide whether there is a ra...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
This paper gives a bound on the number of rational points on an absolutely irreducible curve C lying...
This paper gives a bound on the number of rational points on an absolutely irreducible curve C lying...
This paper gives a bound on the number of rational points on an absolutely irreducible curve C lying...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
An erroneous remark has been deleted. The main result concerns now only non-isotrivial elliptic K3 s...
Let S be a smooth cubic surface over a finite field q. It is known that #S( q) = 1 + aq + q2 for so...
In this paper we describe algorithms to find the shape of a real algebraic curve in P2 and the topol...