Add to ORKGAbstract. We establish that, over certain ground fields, the set of osculating tangents of Cayley’s ruled cubic surface gives rise to a (max-imal partial) spread which is also a dual (maximal partial) spread. It is precisely the Betten-Walker spreads that allow for this construction. Every infinite Betten-Walker spread is not an algebraic set of lines, but it turns into such a set by adding just one pencil of lines
Let S be a smooth cubic surface over a finite field q. It is known that #S( q) = 1 + aq + q2 for so...
It is very common in mathematics to construct surfaces by identifying the sides of a polygon togethe...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
All in-text references underlined in blue are linked to publications on ResearchGate, letting you ac...
We show that a maximal partial spread inPG(3,q) is either a spread or has at most q2 + 1 - Ö{2q}q2+1...
We present an accessible introduction to the Cayley-Salmon theorem and the classical theory of cubic...
A linear partial spread is a set of mutually skew lines of some P (V) , where V is a finite-dimensio...
Cayley’s (ruled cubic) surface carries a three-parameter family of twisted cubics. We describe the c...
AbstractA linear partial spread is a set of mutually skew lines of some P(V), where V is a finite-di...
AbstractA lower bound for the size of a maximal partial spread of H(2n+1,q2) is given. For H(2n+1,q2...
AbstractIn this paper, we show that the largest maximal partial spreads of the hermitian variety H(5...
This thesis is a compilation of three papers. The Cayley–Salmon theorem implies the existence of a ...
Abstract: It is well known that Cayley’s ruled cubic surface carries a three-parameter family of twi...
AbstractThe maximal partial spreads of PG(3,4) were recently classified by Leonard Soicher. Each suc...
We prove that for q>1 a smooth surface of degree q+1 over any field has at most (q+1)(q^3+1) lines, ...
Let S be a smooth cubic surface over a finite field q. It is known that #S( q) = 1 + aq + q2 for so...
It is very common in mathematics to construct surfaces by identifying the sides of a polygon togethe...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
All in-text references underlined in blue are linked to publications on ResearchGate, letting you ac...
We show that a maximal partial spread inPG(3,q) is either a spread or has at most q2 + 1 - Ö{2q}q2+1...
We present an accessible introduction to the Cayley-Salmon theorem and the classical theory of cubic...
A linear partial spread is a set of mutually skew lines of some P (V) , where V is a finite-dimensio...
Cayley’s (ruled cubic) surface carries a three-parameter family of twisted cubics. We describe the c...
AbstractA linear partial spread is a set of mutually skew lines of some P(V), where V is a finite-di...
AbstractA lower bound for the size of a maximal partial spread of H(2n+1,q2) is given. For H(2n+1,q2...
AbstractIn this paper, we show that the largest maximal partial spreads of the hermitian variety H(5...
This thesis is a compilation of three papers. The Cayley–Salmon theorem implies the existence of a ...
Abstract: It is well known that Cayley’s ruled cubic surface carries a three-parameter family of twi...
AbstractThe maximal partial spreads of PG(3,4) were recently classified by Leonard Soicher. Each suc...
We prove that for q>1 a smooth surface of degree q+1 over any field has at most (q+1)(q^3+1) lines, ...
Let S be a smooth cubic surface over a finite field q. It is known that #S( q) = 1 + aq + q2 for so...
It is very common in mathematics to construct surfaces by identifying the sides of a polygon togethe...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...