By Beilinson A., Drinfeld V.
Read or Download Quantization of Hitchin's integrable system and Hecke eigensheaves PDF
Best physics books
Download e-book for kindle: CD-R/DVD: Digital Recording to Optical Media with Cdrom by Lee Purcell
A-Z advisor to information garage for video/audio execs. For execs and hobbyists alike,Lee Purcell's CD-R/DVD: electronic Recording to Optical Media is the 1st and final note in this topic. YouAEll locate specialist and thorough factors of CD-R and DVD-RAM technology,including inhouse CD duplication,labeling and printing systems,and websites on disc.
Get Instability in Models Connected with Fluid Flows II PDF
Balance is a vital estate of mathematical versions simulating actual tactics which supplies an sufficient description of the method. ranging from the classical concept of the well-posedness within the Hadamard experience, this idea was once tailored to diversified parts of study and at the moment is known, counting on the actual challenge into consideration, because the Lyapunov balance of desk bound suggestions, balance of detailed preliminary facts, balance of averaged types, and so on.
Download e-book for kindle: The Facts on File physics handbook (Facts on File, by Diagram Group
Team t. D. The evidence on dossier physics instruction manual (Facts on dossier, 2006)(ISBN 0816058806)
- The Minute Structure of the Solar Atmosphere
- Making and Enjoying Telescopes (1997)(en)(160s)
- Heliophysics: Plasma Physics of the Local Cosmos
- Ancient Therapeutic Arts. The Fitzpatrick Lectures Delivered in 1950 & 1951 at the Royal College of Physicians
Extra info for Quantization of Hitchin's integrable system and Hecke eigensheaves
Sample text
The proof we know is rather long. We first treat the noetherian case and then use the following fact (Deligne, private communication): for any quasi-compact quasi-separated scheme S there exists an affine morphism from S to some scheme of finite type over Z. 7 we use the existence of p : S → S for S = X ⊗ R where X is our curve and R is a C-algebra. So the following result suffices. 6. Proposition. 2 S is a locally closed subscheme of Pn ⊗ R for some ring R. Then there exists p : S → S such that pi = π.
4) and the central extension G(K) acts on π ∗ ωBunG where π is the natural morphism M ∧ → BunG . 2 for the definition of zg(O)). 4) and the sheaf π ∗ ωBunG . The actions of Aut O and G(K) on π ∗ ωBunG are compatible in the obvious sense. Therefore h is Aut O-equivariant. So h induces a horizontal morphism h : z = zg(O)X → Γ(BunG , D )X . 4. 3 we first of all give a precise definition of the action of the semidirect product Aut O G(K) on M ∧ . Let R be a C-algebra. By definition, an R- point of M ∧ is a triple (α, F, γ) where α : Spec R⊗O → X ⊗ R is an R-morphism whose differential does not vanish over any point of Spec R, F is a G-torsor on X ⊗ R, and γ is a section of α∗ F.
So (30) Uk /In,k = (Ωn,k )∗ , U k = (Ωk )∗ HITCHIN’S INTEGRABLE SYSTEM 43 where Ωk = lim Ωn,k and ∗ denotes the topological dual. −→ n To define Ωn,k we need some notation. Denote by Or (resp. ωrO ) the completed tensor product of r copies of O (resp. ωrO Or of ωO ). Set ωrK = Kr where Kr is the field of fractions of Or . We identify Or with C[[t1 , . . , tr ]] and write elements of ωrK as f (t1 , . . , tr ) dt1 . . dtr where f belongs to the field of fractions of C[[t1 , . . , tr ]]. Definition.
Quantization of Hitchin's integrable system and Hecke eigensheaves by Beilinson A., Drinfeld V.
by Jeff
4.3