Winter 2024 FIXED LOCI IN EVEN LINKAGE CLASSES
Scott Nollet
J. Commut. Algebra 16(4): 477-496 (Winter 2024). DOI: 10.1216/jca.2024.16.477

Abstract

Let be an even linkage class of pure codimension two subschemes of a projective space. When has an integral minimal element X0, it is known which deformation classes in contain integral subschemes (varieties). When does not have an integral minimal element, we use fixed loci to give necessary conditions on deformation classes in to contain varieties and give examples showing sharpness. As an application, we determine all deformation classes containing integral space curves in even linkage classes whose corresponding Rao module is a complete intersection module.

Citation

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Scott Nollet. "FIXED LOCI IN EVEN LINKAGE CLASSES." J. Commut. Algebra 16 (4) 477 - 496, Winter 2024. https://doi.org/10.1216/jca.2024.16.477

Information

Received: 26 November 2022; Revised: 15 January 2024; Accepted: 12 May 2024; Published: Winter 2024
First available in Project Euclid: 6 January 2025

Digital Object Identifier: 10.1216/jca.2024.16.477

Subjects:
Primary: 14M06
Secondary: 13C40 , 14H50

Keywords: fixed locus , integral varieties in an even linkage class , liaison theory

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

Vol.16 • No. 4 • Winter 2024
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