Displaying similar documents to “Curves on a ruled cubic surface.”

Cubic differential forms and the group law on the Jacobian of a real algebraic curve

J. Huisman (2003)

Bollettino dell'Unione Matematica Italiana

Similarity:

In an earlier paper [6], we gave an explicit geometric description of the group law on the neutral component of the set of real points of the Jacobian of a smooth quartic curve. Here, we generalize this description to curves of higher genus. We get a description of the group law on the neutral component of the set of real points of the Jacobian of a smooth curve in terms of cubic differential forms. When applied to canonical curves, one gets an explicit geometric description of this...

Explicit resolutions of double point singularities of surfaces.

Alberto Calabri, Rita Ferraro (2002)

Collectanea Mathematica

Similarity:

Locally analytically, any isolated double point occurs as a double cover of a smooth surface. It can be desingularized explicitly via the canonical resolution, as it is very well-known. In this paper we explicitly compute the fundamental cycle of both the canonical and minimal resolution of a double point singularity and we classify those for which the fundamental cycle differs from the fiber cycle. Moreover we compute the conditions that a double point singularity imposes to pluricanonical...