Geometrical properties of sections of Buchsbaum-Rim sheaves
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
In this survey article we want to discuss a way of constructing arithmetically Gorenstein varieties of high codimension. Consider kernel sheaves B_G of general, generically surjective morphisms G between decomposable bundles on P^n. The top-dimensional part of the zero-locus of a regular section of B_G is Gorenstein if B_G has odd rank. We show how to implement the construction method in the computer algebra system Singular and produce some examples of Gorenstein curves and threefolds in P^6. Finally, we investigate a class of sheaves B_G, where the degeneracy locus of G does not have the expected codimension.
Cite
@article{arxiv.math/0010276,
title = {Geometrical properties of sections of Buchsbaum-Rim sheaves},
author = {Igor Burban and Hans-Georg Freiermuth},
journal= {arXiv preprint arXiv:math/0010276},
year = {2007}
}
Comments
17 pages, LaTeX