On the cohomological strata of families of vector bundles on algebraic surfaces
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 2, pp. 155-165
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
In this Note we study certain natural subsets of the cohomological stratification of the moduli spaces of rank \( 2 \) vector bundles on an algebraic surface. In the last section we consider the following problem: take a bundle \( E \) given by an extension, how can one recognize that \( E \) is a certain given bundle? The most interesting case considered here is the case \( E = T P^{3} (t) \) since it applies to the study of codimension \( 1 \) meromorphic foliations with singularities on \( P^{3} \).
@article{RLIN_1991_9_2_2_a7,
author = {Ballico, Edoardo},
title = {On the cohomological strata of families of vector bundles on algebraic surfaces},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {155--165},
year = {1991},
volume = {Ser. 9, 2},
number = {2},
zbl = {0745.14004},
mrnumber = {MR1120135},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a7/}
}
TY - JOUR AU - Ballico, Edoardo TI - On the cohomological strata of families of vector bundles on algebraic surfaces JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1991 SP - 155 EP - 165 VL - 2 IS - 2 UR - http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a7/ LA - en ID - RLIN_1991_9_2_2_a7 ER -
%0 Journal Article %A Ballico, Edoardo %T On the cohomological strata of families of vector bundles on algebraic surfaces %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1991 %P 155-165 %V 2 %N 2 %U http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a7/ %G en %F RLIN_1991_9_2_2_a7
Ballico, Edoardo. On the cohomological strata of families of vector bundles on algebraic surfaces. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 2 (1991) no. 2, pp. 155-165. http://geodesic.mathdoc.fr/item/RLIN_1991_9_2_2_a7/