Hilbert scheme components in characteristic 2

Authors
Kumar, NM Peterson, C Rao, AP
Citation
Nm. Kumar et al., Hilbert scheme components in characteristic 2, COMM ALGEB, 28(12), 2000, pp. 5735-5744
Citations number
16
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
28
Issue
12
Year of publication
2000
Pages
5735 - 5744
Database
ISI
SICI code
0092-7872(2000)28:12<5735:HSCIC2>2.0.ZU;2-B
Abstract
We study deformations of restrictions to P-3 and P-4 of Tango's rank 2 bund le on P-5 (which exists in characteristic 2). Using this, we construct an e xample of a family of rank two bundles on P-3 (in characteristic 2) with ch anging alpha -invariant and an example of a component of the Hilbert scheme of smooth surfaces in P-4 which exists in characteristic 2 but not in any other characteristic.