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.
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]
Hilbert curves of 3-dimensional scrolls over surfaces
A. LanteriPrimo
2017
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
HC_of_3-fold_scrolls_final_for_Edit_Office.pdf
Open Access dal 05/08/2018
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
331.9 kB
Formato
Adobe PDF
|
331.9 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
