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

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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 \( P^{3} \).
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     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},
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     volume = {Ser. 9, 2},
     number = {2},
     year = {1991},
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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/