Geodesic
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.

Voir la notice de l'article provenant de 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 \( P^{3} \).
In questa Nota si studiano sottoinsiemi opportuni della stratificazione per gruppi di coomologia degli schemi di moduli di fibrati vettoriali di rango \( 2 \) sulle superfici algebriche. Inoltre si considera il seguente problema: dato un fibrato \( E \) come estensione, come riconoscere che \( E \) è isomorfo ad un altro fibrato assegnato? Si considera il caso \( E = T P^{3} (t) \) che viene applicato allo studio delle fogliazioni meromorfe con singolarità su \( P^{3} \). 
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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/

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