Results 51 to 60 of about 280,723 (307)
Vector Bundles over non-Hausdorff Manifolds [PDF]
In this paper we generalise the theory of real vector bundles to a certain class of non-Hausdorff manifolds. In particular, it is shown that every vector bundle fibred over these non-Hausdorff manifolds can be constructed as a colimit of standard vector bundles.
arxiv
MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin+14 more
wiley +1 more source
On rank 2 vector bundles on Fano manifolds
In this work we deal with vector bundles of rank two on a Fano manifold $X$ with $b_2=b_4=1$. We study the nef and pseudoeffective cones of the corresponding projectivizations and how these cones are related to the decomposability of the vector bundle ...
Conde, Luis Solá+2 more
core +1 more source
TOMM20 increases cancer aggressiveness by maintaining a reduced state with increased NADH and NADPH levels, oxidative phosphorylation (OXPHOS), and apoptosis resistance while reducing reactive oxygen species (ROS) levels. Conversely, CRISPR‐Cas9 knockdown of TOMM20 alters these cancer‐aggressive traits.
Ranakul Islam+9 more
wiley +1 more source
Vector bundles on reducible curves
See directly the article.
Edoardo Ballico, Luciana Ramella
doaj
This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini+10 more
wiley +1 more source
Existence of Rank Two Vector Bundles on Higher Dimensional Toric Varieties
In the mid 70's, Hartshorne conjectured that, for all n > 7, any rank 2 vector bundles on P^n is a direct sum of line bundles. This conjecture remains still open. In this paper, we construct indecomposable rank two vector bundles on a large class of Fano
Alexandru Sterian+2 more
core +1 more source
Locally trivial quantum vector bundles and associated vector bundles [PDF]
We define locally trivial quantum vector bundles (QVB) and QVB associated to locally trivial quantum principal fibre bundles. There exists a differential structure on the associated vector bundle coming from the differential structure on the principal bundle, which allows to define connections on the associated vector bundle associated to connections ...
arxiv
Bigness of the tangent bundles of projective bundles over curves [PDF]
In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.
arxiv
Connection theory on differentiable fibre bundles: A concise introduction
The paper contains a partial review on the general connection theory on differentiable fibre bundles. Particular attention is paid on (linear) connections on vector bundles.
Bozhidar Z. Iliev
doaj +1 more source