ACM bundles on general hypersurfaces in P5 of low degree.

Chiantini, Luca, and Madonna, Carlo K.. "ACM bundles on general hypersurfaces in P5 of low degree.." Collectanea Mathematica 56.1 (2005): 85-96. <http://eudml.org/doc/41822>.

@article{Chiantini2005,
abstract = {In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P5 a rank 2 vector bundle ε splits if and only if h1ε(n) = h2ε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].},
author = {Chiantini, Luca, Madonna, Carlo K.},
journal = {Collectanea Mathematica},
keywords = {Hipersuperficies; Haces vectoriales; Anillos y módulos de Cohen-Macaulay; vector bundles; hypersurfaces; arithmetically Cohen-Macaulay},
language = {eng},
number = {1},
pages = {85-96},
title = {ACM bundles on general hypersurfaces in P5 of low degree.},
url = {http://eudml.org/doc/41822},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Chiantini, Luca
AU - Madonna, Carlo K.
TI - ACM bundles on general hypersurfaces in P5 of low degree.
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 1
SP - 85
EP - 96
AB - In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P5 a rank 2 vector bundle ε splits if and only if h1ε(n) = h2ε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].
LA - eng
KW - Hipersuperficies; Haces vectoriales; Anillos y módulos de Cohen-Macaulay; vector bundles; hypersurfaces; arithmetically Cohen-Macaulay
UR - http://eudml.org/doc/41822
ER -