5 citations · 6 across the 11 of their papers we have counts for
12 papers
Towards Bigness equivalence
F. Laytimi, D. S. Nagaraj
On the flag variety associated to a vector bundle , a sequence and a partition there is a line bundle on The ai…
Anti-ample bundle, nef vector bundle, big vector bundle
Indranil Biswas, Fatima Laytimi, D. S. Nagaraj +1
We prove that the direct image of an anti-ample vector bundle is anti-ample under any finite flat morphism of non-singular projective varieties. In the second part we prove some pr…
On the direct image of the adjoint line bundle
Indranil Biswas, Fatima Laytimi, D. S. Nagaraj +1
We give an algebraic-geometric proof of the fact that for a smooth fibration of projective varieties, the direct image of the adjoi…
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…
Remarks on Ramanujam-Kawamata-Viehweg Vanishing Theorem
F. Laytimi, D. S. Nagaraj
In this article we prove a general result on a nef vector bundle on a projective manifold of dimension depending on the vector space It is also shown…
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…