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pro vyhledávání: '"Nagaraj D"'
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 properties of big and nef vector bundles. In particular it is shown that
Externí odkaz:
http://arxiv.org/abs/2407.01151
Autor:
Mukherjee, Arijit, Nagaraj, D S
In this paper, we introduce the notion of the diagonal property and the weak point property for an ind-variety. We prove that the ind-varieties of higher rank divisors of integral slopes on a smooth projective curve have the weak point property. More
Externí odkaz:
http://arxiv.org/abs/2401.00852
We give an algebraic-geometric proof of the fact that for a smooth fibration $\pi: X \longrightarrow Y$ of projective varieties, the direct image $\pi_*(L\otimes K_{X/Y})$ of the adjoint line bundle of an ample (respectively, nef and $\pi$-strongly b
Externí odkaz:
http://arxiv.org/abs/2310.02764
Publikováno v:
Complex Manifolds, Vol 2, Iss 1 (2015)
Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection. We show some relationship between
Externí odkaz:
https://doaj.org/article/be12db05886648909c58d6c07de83a76
Autor:
Galkin, Sergey, Nagaraj, D. S.
Publikováno v:
Annali di Matematica 201 (2022) 2707--2713
The aim of this note is to investigate the relation between two types of non-singular projective varieties of Picard rank 2, namely the Projective bundles over Projective spaces and certain Blow-up of Projective spaces.
Comment: Comments are wel
Comment: Comments are wel
Externí odkaz:
http://arxiv.org/abs/2006.12112
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Autor:
Osman, F.H., Koe, J.S.E., Lau, E.S.W., Nagaraj, D., Ng, H.H.-L., Ong, L.A., McGuire, L., Ng, A., Asif, A., Uberoi, R., Chan, V.W.-S., Lakshminarayan, R., Wah, T.M.
Publikováno v:
In Clinical Radiology October 2023 78(10):e773-e781
We study the following question: Given a vector bundle on a projective variety $X$ such that the restriction of $E$ to every closed curve $C \,\subset\, X$ is ample, under what conditions $E$ is ample? We first consider the case of an abelian variety
Externí odkaz:
http://arxiv.org/abs/1904.09310
Autor:
Mazouni, A. El, Nagaraj, D. S.
In this note we give a complete description of all the hyperplane section of the projective bundle associated to the tangent bundle of $\mathbb{P}^2$ under its natural embedding in $\mathbb{P}^7.$ As an application one obtains a description of all po
Externí odkaz:
http://arxiv.org/abs/1901.08367
Akademický článek
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