About: Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1063/1.4756122
Description	The Hartog's type phenomena in several complex variables are best understood in terms of the Dolbeault sequence. A lot of attention was paid in the last decades to its analogue in the function theory of several Clifford variables, i.e. the Dirac operator in several variables. A so-called BGG resolution of this operator is then an analogue to the Dolbeault sequence. The complete description is known in dimension 4. Much less is known in higher dimensions. The case of three variables was described completely by F. Colombo, I. Sabadini, F. Sommen, D. C. Struppa. The full description of the complex for all dimensions is not known at present. In the case of the stable rank (i.e., when the number of variables is less or equal to the half of the even dimension), certain progress has been done. In the paper, we construct the resolution for the case of k variables in the stable range, we show the case of k = 4 in details, and we show the exactness of this sequence. The tools used in the construction are the Penrose transform, Cech cohomology and Leray theorem. The Hartog's type phenomena in several complex variables are best understood in terms of the Dolbeault sequence. A lot of attention was paid in the last decades to its analogue in the function theory of several Clifford variables, i.e. the Dirac operator in several variables. A so-called BGG resolution of this operator is then an analogue to the Dolbeault sequence. The complete description is known in dimension 4. Much less is known in higher dimensions. The case of three variables was described completely by F. Colombo, I. Sabadini, F. Sommen, D. C. Struppa. The full description of the complex for all dimensions is not known at present. In the case of the stable rank (i.e., when the number of variables is less or equal to the half of the even dimension), certain progress has been done. In the paper, we construct the resolution for the case of k variables in the stable range, we show the case of k = 4 in details, and we show the exactness of this sequence. The tools used in the construction are the Penrose transform, Cech cohomology and Leray theorem. (en)
Title	Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank (en)
skos:prefLabel	Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank (en)
skos:notation	RIV/00216208:11320/12:10131890!RIV13-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GA201/08/0397), P(GD201/09/H012), S
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Krump, Lukáš Salač, Tomáš
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	135392
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10131890
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Leray theorem; Cech cohomology; Penrose transform; BGG resolution; Dolbeault complex; Dirac operator (en)
http://linked.open.../riv/klicoveSlovo	Penrose transform Dirac operator BGG resolution Cech cohomology Dolbeault complex Leray theorem
http://linked.open...ontrolniKodProRIV	[5B3DE1AD4C8B]
http://linked.open...v/mistoKonaniAkce	Kos, Greece
http://linked.open...i/riv/mistoVydani	MELVILLE
http://linked.open...i/riv/nazevZdroje	NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Algebraic methods in geometry and topology Algebraic and geometric methods and structures
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Krump, Lukáš Salač, Tomáš
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000310698100071
http://linked.open.../riv/zahajeniAkce	2012-09-19 (xsd:date)
issn	0094-243X
number of pages	4 (xsd:int)
http://bibframe.org/vocab/doi	10.1063/1.4756122
http://purl.org/ne...btex#hasPublisher	AMER INST PHYSICS
https://schema.org/isbn	978-0-7354-1091-6
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software