2000/05/15 by Alessandro Arsie, Arsie, Alessandro
Computer Science · Mathematics · #14M06 #14M10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #math.AC #math.AG #math.RA #msc:14M06 #msc:14M10
paper · pdf · doi:10.48550/arxiv.math/0005142
10 pages, LaTeX; some hypotheses simplified; due to a misunderstanding with Lascu, I apologize for having announced a "work in progress" in the references, which, unfortunately does not exist!
openalex publication_date 2000/05/15 · arxiv created 2000/05/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Developing a previous idea of Faltings, we characterize the complete intersections of codimension 2 in Pn, n>=3, over an algebraically closed field of any characteristic, among l.c.i. X, as those that are subcanonical and scheme-theoretically defined by p<=n-1 equations. Moreover, we give some other results assuming that the normal bundle of X extends to a numerically split bundle on Pn, p<=n and the characteristic of the base field is zero. Finally, we give a (partial) answer to a question posed recently by Franco, Kleiman and Lascu on self-linking and complete intersections in positive characteristic.