Results 21 to 30 of about 223,733 (327)
, 2008 This is the first volume of a three volume collection of Andrey Nikolaevich Tyurin's Selected Works. It includes his most interesting articles in the field of classical algebraic geometry, written during his whole career from the 1960s. Most of these papers treat different problems of the theory of vector bundles on curves and higher dimensional ...
Tyurin, Andrey, Bogomolov, Fedor
openaire +2 more sources
Differential geometry of collective models
AIMS Mathematics, 2019 The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
doaj +1 more source
Stable rationality of higher dimensional conic bundles [PDF]
Épijournal 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
Trace formulae for curvature of Jet Bundles over planar domain
, 2013 For a domain \Omega in \mathbb{C} and an operator T in \mathcal{B}_n(\Omega), Cowen and Douglas construct a Hermitian holomorphic vector bundle E_T over \Omega corresponding to T.
Keshari, Dinesh Kumar
core +1 more source
Prolongations of affine connection and horizontal vectors
Дифференциальная 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
Semistability of Certain Bundles on Second Symmetric Power of a Curve
, 2015 Let $C$ be a smooth irreducible projective curve and $E$ be a rank 2 stable vector bundle on $C$. Then one can associate a rank 4 vector bundle $\mathcal{F}_2(E)$ on $S^2(C)$, second symmetric power of $C$.
Dan, Krishanu, Pal, Sarbeswar
core +1 more source
First and second cohomology group of a bu ndle
Analele 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
Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds
, 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
Fibonacci, Golden Ratio, and Vector Bundles
Mathematics, 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
Unfiltrable vector bundles and spanned vector bundles
Gulf Journal of Mathematics, 2016 Let X be an integral n-dimensional projective variety. We study the existence of rank r ≥ 2 vector bundles on X which are not extensions of two vector bundles (e.g. they exist if r=2 and X is a smooth surface with Kodaira dimension ≥ 0). Their existence implies the existence of many spanned rank n vector bundles E on X and (n+r)-dimensional linear ...
openaire +1 more source