Results 21 to 30 of about 219,381 (279)

First and second cohomology group of a bu ndle

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space.
Manea Adelina
doaj   +1 more source

Stable rationality of higher dimensional conic bundles [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2018
We prove that a very general nonsingular conic bundle $X\rightarrow\mathbb{P}^{n-1}$ embedded in a projective vector bundle of rank $3$ over $\mathbb{P}^{n-1}$ is not stably rational if the anti-canonical divisor of $X$ is not ample and $n\geq 3$.
Hamid Ahmadinezhad, Takuzo Okada
doaj   +1 more source

Diffeological vector pseudo-bundles

open access: yes, 2015
We consider a diffeological counterpart of the notion of a vector bundle (we call this counterpart a pseudo-bundle, although in the other works it is called differently; among the existing terms there are a "regular vector bundle" of Vincent and ...
Pervova, Ekaterina
core   +1 more source

Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds

open access: yes, 2012
We prove that a given Calabi-Yau threefold with a stable holomorphic vector bundle can be perturbed to a solution of the Strominger system provided that the second Chern class of the vector bundle is equal to the second Chern class of the tangent bundle.
A. Sen   +34 more
core   +1 more source

Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors

open access: yesPopulation Ecology, EarlyView.
Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley   +1 more source

Metrik Finsler Pseudo-Konveks Kuat pada Bundel Vektor Holomorfik

open access: yesJurnal Matematika, 2017
: Rizza-negativity of holomorphic vector bundle  is a sufficient condition for the negativity of . In the present paper, we shall discuss that as a special case, using the Rizza metric  which is derived from a Hermitian metric  also implies the ...
Haripamyu ,, Jenizon ,, I Made Arnawa
doaj   +1 more source

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

open access: yesFEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan   +2 more
wiley   +1 more source

The even Clifford structure of the fourth Severi variety

open access: yesComplex Manifolds, 2015
TheHermitian symmetric spaceM = EIII appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure [19].
Parton Maurizio, Piccinni Paolo
doaj   +1 more source

Prolongations of affine connection and horizontal vectors

open access: yesДифференциальная геометрия многообразий фигур, 2020
The linear frame bundle over a smooth manifold is considered. The mapping dе defined by the differentials of the first-order frame e is a lift to the normal N, i.
K.V. Polyakova
doaj   +1 more source

Fibonacci, Golden Ratio, and Vector Bundles

open access: yesMathematics, 2021
There is a family of vector bundles over the moduli space of stable curves that, while first appearing in theoretical physics, has been an active topic of study for algebraic geometers since the 1990s. By computing the rank of the exceptional Lie algebra
Noah Giansiracusa
doaj   +1 more source

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