Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10131890" target="_blank" >RIV/00216208:11320/12:10131890 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4756122" target="_blank" >http://dx.doi.org/10.1063/1.4756122</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4756122" target="_blank" >10.1063/1.4756122</a>
Alternative languages
Result language
angličtina
Original language name
Exactness of the Generalized Dolbeault Complex for k Dirac Operators in the Stable Rank
Original language 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 operatorin 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 constru
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012
ISBN
978-0-7354-1091-6
ISSN
0094-243X
e-ISSN
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Number of pages
4
Pages from-to
300-303
Publisher name
AMER INST PHYSICS
Place of publication
MELVILLE
Event location
Kos, Greece
Event date
Sep 19, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000310698100071