Configurations of infinitely near points

Antonio Campillo (1) , Gerard Gonzalez-Sprinberg (2) , Francisco Monserrat (3)

1 AGT-UVA - Departamento de Algebra, Geometria y Topologia
2 IF - Institut Fourier
3 IUMPA - Instituto Universitario de Matemática Pura y Aplicada

We present a survey of some aspects and new results on configurations, i.e. disjoint unions of constellations of infinitely near points, local and global theory, with some applications and results on generalized Enriques diagrams, singular foliations, and linear systems defined by clusters.

Mots clés: infinitely near points; proximity relations; Enriques diagrams; clusters; characteristic cones; complete ideals; toric varieties

Domaines: Géométrie algébrique [math.AG]

Antonio Campillo, Gerard Gonzalez-Sprinberg, Francisco Monserrat. Configurations of infinitely near points. 2008. ⟨hal-00343080⟩