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On linking multiple lines
Aguirre, Luis G.
Aguirre, Luis G.
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Publisher
Date
2018
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Abstract
We study non-reduced locally Cohen-Macaulay quasi-primitive curves supported on a line in three dimensional projective space over an algebraically closed field k. For an odd prime p, we determine exactly when two extremal p-fold lines W and V are directly linked. In particular, W is self-linked if and only if char k = 2, analogous to Migliores result for p=2. The results hold for multiple lines of any degree if we add the extra hypothesis of using quadric surfaces to do the linking. We provide a complete analysis for triple lines.
Contents
Subject
Subject(s)
Geometry, Algebraic.
Cohen-Macaulay rings.
Commutative algebra.
Forms, Quadratic.
Cohen-Macaulay rings.
Commutative algebra.
Forms, Quadratic.
Research Projects
Organizational Units
Journal Issue
Genre
Dissertation
Description
Format
1 online resource (iv, 131 pages).
Department
Mathematics