106 citations · 519 across the 20 of their papers we have counts for
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Ampleness equivalence and dominance for vector bundles
F. Laytimi, W. Nahm
Hartshorne in "Ample vector bundles" proved that is ample if and only if $\OOO_{P(E)}(1)$ is ample. Here we generalize this result to flag manifolds associated to a vector bund…
Semiample and k-ample vector bundles
F. Laytimi, W. Nahm
We show that tensor products of semiample vector bundles are semiample. For k-ampleness in the sens of Sommese, we show that over compact complex manifolds tensor products of semia…
Generation by sections and -ampleness
Werner Nahm, Fatima Laytimi
In the article "Submanifold of abelian varieties", A.J. Sommese proved that direct sum and tensor product of two vector bundles and over a smooth projective variety are …
A generalization of Le Potier's vanishing theorem
F. Laytimi, W. Nahm
We prove a new vanishing theorem generalizing that of Le Potier for Schur functors of a vector bundle.
Vanishing theorems for products of exterior and symmetric powers
F. Laytimi, W. Nahm
For ample vector bundles over compact complex varieties and a Schur functor corresponding to an arbitrary partition of the integer , one would like to know t…