On curves with natural cohomology and their deficiency modules
type: Item
instance of: scholarly article
title: On curves with natural cohomology and their deficiency modules
zbMATH Open document ID: 0779.14008
author: Juan C. Migliore
author: Giorgio Bolondi
publication date: 1993-12-06T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74998
review text: We give necessary numerical conditions on the minimal free resolution of the Hartshorne-Rao module of a curve with natural cohomology. We show with an example that the multiplication between two consecutive homogeneous components of the module need not to be of maximal rank. We apply these ideas in order to get smoothness and unicity results (in the case of a module of diameter 2 or 3) for the components of the Hilbert schemes containing curves with natural cohomology.
Mathematics Subject Classification ID: 14H50
Mathematics Subject Classification ID: 14M06
Mathematics Subject Classification ID: 14C22
zbMATH DE Number: 425533
zbMATH Keywords: deficiency modules
zbMATH Keywords: liaison
zbMATH Keywords: resolution of the Hartshorne-Rao module
zbMATH Keywords: Hilbert schemes
MaRDI profile type: Publication
OpenAlex ID: W2318424001
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DOI: 10.5802/AIF.1334
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 425533