A counterexample to Fulton's conjecture on \(\overline M_{0,n}\).
type: Item
instance of: scholarly article
title: A counterexample to Fulton's conjecture on \(\overline M_{0,n}\).
zbMATH Open document ID: 1039.14014
author: Peter Vermeire
published in: Journal of Algebra
publication date: 2002-01-01T00:00:00Z
review text: The author gives a counterexample to ``effective'' Fulton's conjecture that any effective divisor on the moduli space \(\overline M_{0,n}\) of \(n\)-pointed rational curves is linearly equivalent to an effective combination of boundary divisors corresponding to singular curves. He constructs effective divisors on \(\overline M_{0,6}\) which are not expressible as above. These examples can be lifted to \(\overline M_{0,n}\) for any \(n\geq 7\).
Mathematics Subject Classification ID: 14H51
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14H20
zbMATH DE Number: 1749652
zbMATH Keywords: Fulton's conjecture
zbMATH Keywords: effective divisor
zbMATH Keywords: moduli space of \(n\)-pointed rational curves
Wikidata QID: Q122911234
reviewed by: A. Del Centina
MaRDI profile type: Publication
full work available at URL: jabr.2001.9044
OpenAlex ID: W1983953462
cites work: Towards the ample cone of \(\overline{M}_{g,n}\)
cites work: Q4202153
cites work: Contractible Extremal Rays on \overline{M}_{0,n}
cites work: New moduli spaces of pointed curves and pencils of flat connections.
DOI: 10.1006/JABR.2001.9044
description: scientific article; zbMATH DE number 1749652