Line bundles over Coulomb branches

Line Bundles over Quantum Tori

This text is a modified version of a chapter in a PhD thesis [26] submitted to Nottingham University in September 2006, which studied an approach to Hilbert’s twelfth problem inspired by Manin’s proposed theory of Real Multiplication [12]. Following our study in [27], motivated by the theory of Line Bundles over Complex Tori, we define a non-trivial cohomological notion of Line Bundles over Qua...

Big line bundles over arithmetic varieties

5 Equidistribution Theory 26 5.1 A Generic Equidistribution Theorem . . . . . . . . . . . . . . . . . . . . . . 27 5.2 Equidistribution at Infinite Places . . . . . . . . . . . . . . . . . . . . . . . . 30 5.3 Equidistribution at Finite Places . . . . . . . . . . . . . . . . . . . . . . . . 32 5.4 Equidistribution of Small Subvarieties . . . . . . . . . . . . . . . . . . . . . . 35 5.5 Equidist...

Complex Line Bundles over Simplicial Complexes and their Applications

Discrete vector bundles are important in Physics and recently found remarkable applications in Computer Graphics. This article approaches discrete bundles from the viewpoint of Discrete Differential Geometry, including a complete classification of discrete vector bundles over finite simplicial complexes. In particular, we obtain a discrete analogue of a theorem of André Weil on the classificati...

A Remark on the Jet Bundles over the Projective Line

Let X be a Riemann surface equipped with a projective structure (i.e., a covering by coordinate charts such that the transition functions are of the form z 7−→ (az + b)/(cz + d)). Let L be a line bundle on X such that L = TX . Let J (L) −→ X denote the jet bundle of order m for the line bundle L. For i ≥ j, there is a natural restriction homomorphism from J (L) onto J (L). We prove that for any...

Groups of Complex Line Bundles Over Compact Kähler Varieties.