Sur l'alg\'ebrisation des tissus de rang maximal
Pirio Luc, Tr\'epreau Jean-Marie
TL;DR
This paper proves that webs of codimension at least two with maximal rank are algebraic, resolving a longstanding problem posed by Chern and Griffiths.
Contribution
It establishes the algebraization of certain webs, providing a significant advancement in the understanding of web geometry.
Findings
Webs of codimension ≥ 2 and maximal rank are algebraic.
Solves a problem posed by Chern and Griffiths.
Advances the theory of web algebraization.
Abstract
We show that a web of codimension at least two and of maximal rank is isomorphic to an algebraic web. This solves a problem first consdered by Chern and Griffiths.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation