Plane curves whose singular points are cusps and triple coverings of p2.
Plane curves with small linear orbits, I
The “linear orbit” of a plane curve of degree is its orbit in under the natural action of . In this paper we compute the degree of the closure of the linear orbits of most curves with positive dimensional stabilizers. Our tool is a nonsingular variety dominating the orbit closure, which we construct by a blow-up sequence mirroring the sequence yielding an embedded resolution of the curve. The results given here will serve as an ingredient in the computation of the analogous information for...
Plane projections of a smooth space curve
Let C be a smooth non-degenerate integral curve of degree d and genus g in over an algebraically closed field of characteristic zero. For each point P in let be the linear system on C induced by the hyperplanes through P. By one maps C onto a plane curve , such a map can be seen as a projection of C from P. If P is not the vertex of a cone of bisecant lines, then will have only finitely many singular points; or to put it slightly different: The secant scheme parametrizing divisors in...
Plücker conditions on plane rational curves.
Plücker relations for p(e...).
Pluricanonical embeddings
Poincaré bundles for families of curves.
Poincaré Polynomials of the Variety of Stable Bundles.
Point modules over Sklyanin algebras.
Points algébriques de degrés au plus 12 sur la quintique de Fermat
We determine explicitly the set of algebraic points of degree at most 12 over ℚ on the Fermat quintic. This extends a previous result given by M. Klassen and P. Tzermias (1997), who described the set of algebraic points of degree at most 6 over ℚ.
Points algébriques sur les courbes elliptiques -adiques de Tate
Points at Infinity on the Fermat Curves
Points d’ordre sur les courbes elliptiques
Points entiers sur les courbes de genre 0
Points entiers sur les courbes hyperelliptiques
Points of low degree on smooth plane curves.
Points of Order 13 on Elliptic Curves.
Points of order of generic formal groups
There are many similarities between elliptic curves and formal groups of finite height. The points of order of a generic formal group are studied in order to develop the formal group analogue (applied to points of order ) of the concept of level structure and that of the -pairing known in elliptic curve theory.
Points of Order p on Elliptic Curves Over Q(...p).
Points on Shimura curves over fields of even degree.