The purpose of this paper is to study minimal mon- ads associated to a rank two vector bundle ξ± on ππ. In particular, we study situations where ξ± has π» π β (ξ±) = 0 for 1 < π < π β 1, except for one pair of values (π, π β π). We show that on π8, if π» 3 β (ξ±) = π» 4 β (ξ±) = 0, then ξ± must be decomposable. More generally, we show that for π β©Ύ 4π, there is no indecomposable bundle ξ± for which all intermediate cohomology modules except for π» 1 β , π» π β , π» πβπ β , π» πβ1 β are zero. M S C 2 0 2 0 14F06, 14J60 (primary)
Rank two bundles on P^n with isolated cohomology / Malaspina, F.; Rao, A. P.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 55:5(2023), pp. 2493-2504. [10.1112/blms.12877]
Rank two bundles on P^n with isolated cohomology
Malaspina, F.;
2023
Abstract
The purpose of this paper is to study minimal mon- ads associated to a rank two vector bundle ξ± on ππ. In particular, we study situations where ξ± has π» π β (ξ±) = 0 for 1 < π < π β 1, except for one pair of values (π, π β π). We show that on π8, if π» 3 β (ξ±) = π» 4 β (ξ±) = 0, then ξ± must be decomposable. More generally, we show that for π β©Ύ 4π, there is no indecomposable bundle ξ± for which all intermediate cohomology modules except for π» 1 β , π» π β , π» πβπ β , π» πβ1 β are zero. M S C 2 0 2 0 14F06, 14J60 (primary)File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2979703