A support theorem for nested Hilbert schemes of planar curves

Consider a family of integral complex locally planar curves. We show that under some assumptions on the base, the relative nested Hilbert scheme is smooth. In this case, the decomposition theorem of Beilinson, Bernstein and Deligne asserts that the pushforward of the constant sheaf on the relative n...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Manuscripta mathematica 2021-03, Vol.164 (3-4), p.467-488
1. Verfasser:	Felisetti, Camilla
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Number Theory Sheaves Theorems Topological Groups
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!