Data di Pubblicazione:
2017
Citazione:
Hilbert curves of 3-dimensional scrolls over surfaces / A. Lanteri. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - (2017 Apr). [Epub ahead of print] [10.1016/j.jpaa.2017.03.008]
Abstract:
Let (X,L) be a 3-dimensional scroll over a smooth surface Y. Its Hilbert curve is an affine plane cubic consisting of a given line and a conic. This conic turns out to be the Hilbert curve of the Q-polarized surface (Y, (1/2) det E), where E is the rank-2 vector bundle obtained by pushing down L via the scroll proiection, if and only if E is properly semistable in the sense of Bogomolov.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Scroll; Hilbert curve; vector bunde (properly semistable); Q-polarized surface
Elenco autori:
A. Lanteri
Link alla scheda completa: