A closure operation on complex analytic cones and torsion
Reynir Axelsson; Jón Magnússon
Annales de la Faculté des sciences de Toulouse : Mathématiques (1998)
- Volume: 7, Issue: 1, page 5-33
- ISSN: 0240-2963
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topAxelsson, Reynir, and Magnússon, Jón. "A closure operation on complex analytic cones and torsion." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.1 (1998): 5-33. <http://eudml.org/doc/73446>.
@article{Axelsson1998,
author = {Axelsson, Reynir, Magnússon, Jón},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {complex analytic cones; torsion; torsion ideal; ideal of nilpotent elements; coherent analytic sheaf},
language = {eng},
number = {1},
pages = {5-33},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A closure operation on complex analytic cones and torsion},
url = {http://eudml.org/doc/73446},
volume = {7},
year = {1998},
}
TY - JOUR
AU - Axelsson, Reynir
AU - Magnússon, Jón
TI - A closure operation on complex analytic cones and torsion
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1998
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 1
SP - 5
EP - 33
LA - eng
KW - complex analytic cones; torsion; torsion ideal; ideal of nilpotent elements; coherent analytic sheaf
UR - http://eudml.org/doc/73446
ER -
References
top- [1] Ancona ( V.) .— Faisceaux amples sur les espaces analytiques, Trans. Am. Math. Soc.274 (1982), pp. 89-100. Zbl0503.32014MR670921
- [2] Axelsson ( R.) and Magnússon ( J.) .- Complex analytic cones, Math. Ann.273 (1986), pp. 601-627. Zbl0566.32007MR826461
- [3] Axelsson ( R.) and Magnússon ( J.) .— A characterization of symmetric and exterior algebras in characteristic zero, Comm. Algebra20, n° 3 (1992), pp. 631-638. Zbl0749.16025MR1153037
- [4] Berger ( R.) .- Differentialmoduln eindimensionaler lokaler Ringe, Math. Z.81 (1963), pp. 326-354. Zbl0113.26302MR152546
- [5] Fischer ( G.) .— Eine Charakterisierung von holomorphen Vektorraumbündeln, Bayer. Akad. Wiss., Math.-Natur. Kl., S.-B.1966 (1967), pp. 101-107. Zbl0159.37603MR218617
- [6] Fischer ( G.) .— Lineare Faserrräume und kohärente Modulgarben über komplexen Räumen, Arch. Math.18 (1967), pp. 609-617. Zbl0177.34402MR220972
- [7] Fischer ( G.) . — Complex analytic geometry, Lect. Notes Math., Springer, Berlin-Heidelberg-New York, 5381976. Zbl0343.32002MR430286
- [8] Grauert ( H.) .— Über Modifikationen und exzeptionelle analytische Mengen, Math. Ann.146 (1962), pp. 331-368. Zbl0178.42702MR137127
- [9] Grauert ( H.) and Remmert ( R.) .- Coherent analytic sheaves, Springer, Berlin-Heidelberg-New York-Tokyo, 1984. Zbl0537.32001MR755331
- [10] Grothendieck ( A.) .- Techniques de construction en géometrie analytique V. Fibrés vectoriels, fibrés projectifs, fibrés en drapeaux, Séminaire Cartan, 13ème année (1960-61). Zbl0142.33503
- [11] Johnson ( K.) .- Immersion and embedding of projective varieties, Acta Math.140 (1978), pp. 48-74. Zbl0373.14005MR463161
- [12] Kennedy ( G.) .— Flatness of tangent cones of a family of hypersurfaces, J. Algebra128 (1990), pp. 240-256. Zbl0704.14029MR1031919
- [13] Kaup ( B.) .— Über Kokerne und Push-outs in der Kategorie der komplexanalytischen Räume, Math. Ann.189 (1970), pp. 60-76. Zbl0191.09501MR273063
- [14] Platte ( E.) .- The torsion problem of H.-J. Reiffen and U. Vetter, Compos. Math.57 (1986), pp. 373-381. Zbl0603.13020MR829327
- [15] Prill ( D.) .- Über lineare Faserräume und schwach negative holomorphe Geradenbündel, Math. Z.105 (1968), pp. 313-326. Zbl0164.09404MR229266
- [16] Rabinowitz ( J.H.) . - Moišezon spaces and positive coherent sheaves, Proc. Am. Math. Soc.71 (1978), pp. 237-240. Zbl0395.32005MR486667
- [17] Rabinowitz ( J.H.) .- Positivity notions for coherent sheaves over compact complex spaces, Invent. Math.62 (1980), pp. 79-87. Zbl0424.32007MR595583
- [18] Reiffen ( H.-J.) and Vetter ( U.) . — Pfaffsche Formen auf komplexen Räumen, Math. Ann.167 (1966), pp. 338-350. Zbl0154.08404MR216031
- [19] Rossi ( H.) . - Vector fields on analytic spaces, Ann. Math.78 (1963), pp. 455-467. Zbl0129.29701MR162973
- [20] Scheja ( G.) . - Differentialmoduln lokaler analytischer Algebren, Schriftenreihe des matemathischen Instituts der Universität Fribourg (Suisse), 2 (1969). Zbl0199.36003
- [21] Siu Y.-T.) and Trautmann ( G.) .— Gap sheaves and extension of coherent analytic subsheaves, Lect. Notes Math., Springer, Berlin-Heidelberg-New York172 (1971). Zbl0208.10403MR287033
- [22] Stutz ( J.) .— Analytic sets as branched coverings, Trans. Am. Math. Soc.166 (1972), pp. 241-259. Zbl0239.32006MR324068
- [23] Whitney ( H.) .— Local properties of analytic varieties. Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N. J. (1965), pp. 205-244. Zbl0129.39402MR188486
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