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.
| DOI | 10.11648/j.pamj.s.2014030602.17 |
| Published in |
Pure and Applied Mathematics Journal (Volume 3, Issue 6-2, December 2014)
This article belongs to the Special Issue Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program |
| Page(s) | 38-43 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Cohomologies, Commutative Rings, Conformal Blocks, Jets, Spectrum Functor
| [1] | D. Eisenbud: J. Harris (1998). The Geometry of Schemes. Springer-Verlag, USA. |
| [2] | Qing Liu (2002). Algebraic Geometry and Arithmetic Curves. Oxford University Press, UK. |
| [3] | R. M. Switzer, Homotopy and Homology. Springer, 2nd Edition, 1975. |
| [4] | R. J. Baston, L. J.Mason, Conformal Gravity, the Einstein Equations and Spaces of Complex Null Geodesics, Class Quantum Gravity 4 (1987), 815-826. |
| [5] | S. A.Merkulov, “A conformally Invariant Theory of Gravitation and Electromagnetism,” Class. Quantum Gravity I (1984), 349-355. |
APA Style
Sergei Fominko. (2015). Approaching by DX- Schemes and Jets to Conformal Blocks in Commutative Moduli Schemes. Pure and Applied Mathematics Journal, 3(6-2), 38-43. https://doi.org/10.11648/j.pamj.s.2014030602.17
ACS Style
Sergei Fominko. Approaching by DX- Schemes and Jets to Conformal Blocks in Commutative Moduli Schemes. Pure Appl. Math. J. 2015, 3(6-2), 38-43. doi: 10.11648/j.pamj.s.2014030602.17
AMA Style
Sergei Fominko. Approaching by DX- Schemes and Jets to Conformal Blocks in Commutative Moduli Schemes. Pure Appl Math J. 2015;3(6-2):38-43. doi: 10.11648/j.pamj.s.2014030602.17
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Download@article{10.11648/j.pamj.s.2014030602.17,
author = {Sergei Fominko},
title = {Approaching by DX- Schemes and Jets to Conformal Blocks in Commutative Moduli Schemes},
journal = {Pure and Applied Mathematics Journal},
volume = {3},
number = {6-2},
pages = {38-43},
doi = {10.11648/j.pamj.s.2014030602.17},
url = {https://doi.org/10.11648/j.pamj.s.2014030602.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2014030602.17},
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.},
year = {2015}
}
TY - JOUR T1 - Approaching by DX- Schemes and Jets to Conformal Blocks in Commutative Moduli Schemes AU - Sergei Fominko Y1 - 2015/01/10 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.s.2014030602.17 DO - 10.11648/j.pamj.s.2014030602.17 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 38 EP - 43 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2014030602.17 AB - 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. VL - 3 IS - 6-2 ER -
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