Hilbert schemes of some threefold scrolls over F_e

2014/06/04 by Maria Lucia Fania, Fania, Maria Lucia, Flaminio Flamini +1
Mathematics · #14C05 #14J27 #14J60 #14N25 #14N30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Primary 14J30 #Secondary 14M07

paper · pdf · doi:10.48550/arxiv.1406.0956

openalex publication_date 2014/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Hilbert schemes of suitable smooth, projective 3-fold scrolls over the Hirzebruch surface F_e, with e > 1, are studied. An irreducible component of the Hilbert scheme parametrizing such varieties is shown to be generically smooth of the expected dimension and the general point of such a component is described. This article generalizes the study of Hilbert schemes done in arXiv:1110.5464 for e=1.

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