On the cohomological strata of families of vector bundles on algebraic surfaces

Edoardo Ballico

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 2, page 155-165
  • ISSN: 1120-6330

Abstract

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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 .

How to cite

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Ballico, Edoardo. "On the cohomological strata of families of vector bundles on algebraic surfaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.2 (1991): 155-165. <http://eudml.org/doc/244216>.

@article{Ballico1991,
abstract = {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 \( P^\{3\} \).},
author = {Ballico, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Vector bundles; Algebraic surface; Moduli scheme; Meromorphic foliations; Meromorphic foliations with singularities; rank two vector bundles on algebraic surfaces; sheets; stratification of the moduli space; rational ruled surfaces},
language = {eng},
month = {6},
number = {2},
pages = {155-165},
publisher = {Accademia Nazionale dei Lincei},
title = {On the cohomological strata of families of vector bundles on algebraic surfaces},
url = {http://eudml.org/doc/244216},
volume = {2},
year = {1991},
}

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. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/6//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 2
SP - 155
EP - 165
AB - 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 \( P^{3} \).
LA - eng
KW - Vector bundles; Algebraic surface; Moduli scheme; Meromorphic foliations; Meromorphic foliations with singularities; rank two vector bundles on algebraic surfaces; sheets; stratification of the moduli space; rational ruled surfaces
UR - http://eudml.org/doc/244216
ER -

References

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