Configurations of infinitely near points
Antonio Campillo (AGT-UVA), Gerard Gonzalez-Sprinberg (IF), Francisco, Monserrat (IUMPA-UPV)
TL;DR
This paper surveys various aspects of configurations of infinitely near points, including their local and global theory, and presents new results with applications to Enriques diagrams, singular foliations, and linear systems.
Contribution
It introduces new results on configurations of infinitely near points and explores their applications in algebraic geometry and singularity theory.
Findings
New results on generalized Enriques diagrams
Applications to singular foliations
Insights into linear systems defined by clusters
Abstract
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.
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