Approaching by DX- Schemes and Jets to Conformal Blocks in Commutative Moduli Schemes
Pure and Applied Mathematics Journal
Volume 3, Issue 6-2, December 2014, Pages: 38-43
Received: Dec. 3, 2014; Accepted: Dec. 8, 2014; Published: Jan. 10, 2015
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Author
Sergei Fominko, Dept. of Mathematics, Pre-Carpathian University, Ivano-Frankivsk, Ukraine
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Abstract
The DX-schemes (and their particular tools example jets) are related to determine conformal blocks of space-time pieces that are invariant under conformal transformations. All algebras will be commutative and Sym will always denote SymOX However, all Hom, and , will be understood over the base field k. This will permit the construction of one formal moduli problem on the base of CAlgk whose objects are obtained as limits of the corresponding jets in an AffSpec. An algebra B, belonging to the DX-schemes to the required formal moduli problem is the image under a corresponding generalized Penrose transform, in the conformal context, of many pieces of the space-time, having a structure as objects in commutative rings of CAlgk each one.
Keywords
Cohomologies, Commutative Rings, Conformal Blocks, Jets, Spectrum Functor
To cite this article
Sergei Fominko, Approaching by DX- Schemes and Jets to Conformal Blocks in Commutative Moduli Schemes, Pure and Applied Mathematics Journal. Special Issue: Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program. Vol. 3, No. 6-2, 2014, pp. 38-43. doi: 10.11648/j.pamj.s.2014030602.17
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