Geodesic
Vanishing theorems and degeneracy loci in small corang
Documenta mathematica, Tome 9 (2004), pp. 499-525

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After giving an explicit description of all the non vanishing Dolbeault cohomology groups of ample line bundles on grassmannians, I give two series of vanishing theorems for ample vector bundles on a smooth projective variety. They imply a part of a conjecture by Fulton and Lazarsfeld about the connectivity of some degeneracy loci.
DOI : 10.4171/dm/176
Classification : 14F17
Mots-clés : théorèmes d'annulation, grassmannienne 
Pierre-Emmanuel Chaput. Vanishing theorems and degeneracy loci in small corang. Documenta mathematica, Tome 9 (2004), pp. 499-525. doi: 10.4171/dm/176
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     author = {Pierre-Emmanuel Chaput},
     title = {Vanishing theorems and degeneracy loci in small corang},
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     doi = {10.4171/dm/176},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/176/}
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