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A recollement of vector bundles
vector bundles math
2010/11/24
For a weighted projective line, the stable category of its vector bundles modulo lines bundles has a natural triangulated structure. We prove that, for any positive integers $p, q, r$ and $r'$ with $r...
Response solutions for arbitrary quasi-periodic perturbations with Bryuno frequency vector
quasi-periodic perturbations Bryuno frequency vector
2010/11/9
We study the problem of existence of response solutions for a real-analytic one-dimensional system, consisting of a rotator subjected to a small quasi-periodic forcing. We prove that at least one res...
Biharmonic submanifolds with parallel mean curvature vector field in spheres
Biharmonic submanifolds parallel mean curvature vector field
2010/11/12
We present some results on the boundedness of the mean curvature of proper biharmonic submanifolds in spheres. A partial classification result for proper biharmonic submanifolds with parallel mean cur...
Orbit types of the compact Lie group E_7 in the complex Freudenthal vector space P^C
Lie group E_7 Freudenthal vector space P^C
2010/11/9
Let J be the exceptional Jordan algebra over R and J^C its complexification. Then the simply connected compact exceptional Lie group F_4 acts on J and F_4 has three orbit types which are F_4/F_4, F_4...
Here we prove that for a smooth projective variety $X$ of arbitrary dimension and for a vector bundle $E$ over $X$, the Harder-Narasimhan filtration of a Frobenius pull back of $E$ is a refinement of...
Convergence of vector bundles with metrics of Sasaki-type
Convergence vector bundles metrics of Sasaki-type
2010/11/9
If a sequence of Riemannian manifolds, $X_i$, converges in the pointed Gromov-Hausdorff sense to a limit space, $X_\infty$, and if $E_i$ are vector bundles over $X_i$ endowed with metrics of Sasaki-t...