On the splitting type of holomorphic vector bundles induced from regular systems of differential equation
-
Grigori Giorgadze
and
Gega Gulagashvili
Abstract
We calculate the splitting type of holomorphic vector bundles on the Riemann sphere induced by a Fuchsian system of differential equations. Using this technique, we indicate the relationship between Hölder continuous matrix functions and a moduli space of vector bundles on the Riemann sphere. For second order systems with three singular points we give a complete characterization of the corresponding vector bundles by the invariants of Fuchsian system.
Funding statement: This work is supported by Shota Rustaveli National Science Foundation Grant no. FR17-96.
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Articles in the same Issue
- Frontmatter
- The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in the phase coordinates and in controls
- On a Robin type problem involving 𝑝(𝑥)-Laplacian operator
- On the splitting type of holomorphic vector bundles induced from regular systems of differential equation
- On inclusion properties of discrete Morrey spaces
- Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces
- Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator
- On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh–Fourier series
- Several characterizations of Bessel functions and their applications
- The incomplete exponential pRp (α,β;z) function with applications
- Higher integrability and reverse Hölder inequalities in the limit cases
- When are multiplicative semi-derivations additive?
- On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity
- Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces
