Displaying 561 – 580 of 884

Showing per page

Plane curves with small linear orbits, I

Paoli Aluffi, Carel Faber (2000)

Annales de l'institut Fourier

The “linear orbit” of a plane curve of degree d is its orbit in d ( d + 3 ) / 2 under the natural action of PGL ( 3 ) . 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...

Points of order p of generic formal groups

Karl Zimmermann (1988)

Annales de l'institut Fourier

There are many similarities between elliptic curves and formal groups of finite height. The points of order p of a generic formal group are studied in order to develop the formal group analogue (applied to points of order p ) of the concept of level structure and that of the e n -pairing known in elliptic curve theory.

Predegree Polynomials of Plane Configurations in Projective Space

Tzigantchev, Dimitre (2008)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 14N10, 14C17.We work over an algebraically closed field of characteristic zero. The group PGL(4) acts naturally on PN which parameterizes surfaces of a given degree in P3. The orbit of a surface under this action is the image of a rational map PGL(4) ⊂ P15→PN. The closure of the orbit is a natural and interesting object to study. Its predegree is defined as the degree of the orbit closure multiplied by the degree of the above map restricted to a general Pj,...

Currently displaying 561 – 580 of 884