Result: SEMIGLOBAL RESULTS FOR ∂ ON COMPLEX SPACES WITH ARBITRARY SINGULARITIES, PART II
Title:
SEMIGLOBAL RESULTS FOR ∂ ON COMPLEX SPACES WITH ARBITRARY SINGULARITIES, PART II
Authors:
Source:
Transactions of the American Mathematical Society. 363(12):6177-6196
Publisher Information:
Providence, RI: American Mathematical Society, 2011.
Publication Year:
2011
Physical Description:
print, 20 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Ordre, treillis, structures algébriques ordonnées, Order, lattices, ordered algebraic structures, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Ensemble ordonné, Ordered set, Conjunto ordenado, Espace arbitraire, Arbitrary space, Espacio arbitrario, Espace complexe, Complex space, Espacio complejo, Module, Módulo, Résolubilité, Solvability, Resolubilidad, Singularité, Singularity, Singularidad, Support, Soporte, 06Axx, 32C15, 32XX
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF OSLO, P.B. 1053 BLINDERN, OSLO,0316, Norway
DEPARTMENT OF MATHEMATICS, GEORGETOWN UNIVERSITY, WASHINGTON, DC 20057, United States
DEPARTMENT OF MATHEMATICS, GEORGETOWN UNIVERSITY, WASHINGTON, DC 20057, United States
ISSN:
0002-9947
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24730114
Database:
PASCAL Archive
Further Information
We obtain some L2-results for ∂ on forms that vanish to high order on the singular set of a complex space. As a consequence of our main theorem we obtain weighted L2-solvability results for compactly supported ∂-closed (p, q)-forms (0 < p ≤ n, 1 ≤ q < n) on relatively compact subdomains Ω of the complex space that satisfy Hn―q(Ω, S) = 0 = Hn―q+1(Ω, S) for every coherent OX-module S. The latter result can be used to give an alternate proof of a theorem of Merker and Porten.