Open AccessHilbert scheme of some threefold scrolls over the Hirzebruch surface ${\mathbb F}_1$
Author(s) -
Gian Mario Besana,
Maria Lucia Fania,
Flaminio Flamini
Publication year - 2013
Publication title -
journal of the mathematical society of japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.047
H-Index - 36
eISSN - 1881-1167
pISSN - 0025-5645
DOI - 10.2969/jmsj/06541243
Subject(s) - hilbert scheme , mathematics , dimension (graph theory) , irreducible component , scheme (mathematics) , surface (topology) , pure mathematics , component (thermodynamics) , hilbert manifold , point (geometry) , hilbert space , mathematical analysis , geometry , differential algebraic equation , ordinary differential equation , physics , thermodynamics , differential equation
Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F_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.
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