@article{RSMUP_2005__113__99_0, author = {Denson-Hill, C. and Nacinovich, Mauro}, title = {Elementary pseudoconcavity and fields of {CR} meromorphic functions}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {99--115}, publisher = {Seminario Matematico of the University of Padua}, volume = {113}, year = {2005}, mrnumber = {2168982}, zbl = {1167.32301}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2005__113__99_0/} }
TY - JOUR AU - Denson-Hill, C. AU - Nacinovich, Mauro TI - Elementary pseudoconcavity and fields of CR meromorphic functions JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2005 SP - 99 EP - 115 VL - 113 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2005__113__99_0/ LA - en ID - RSMUP_2005__113__99_0 ER -
%0 Journal Article %A Denson-Hill, C. %A Nacinovich, Mauro %T Elementary pseudoconcavity and fields of CR meromorphic functions %J Rendiconti del Seminario Matematico della Università di Padova %D 2005 %P 99-115 %V 113 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2005__113__99_0/ %G en %F RSMUP_2005__113__99_0
Denson-Hill, C.; Nacinovich, Mauro. Elementary pseudoconcavity and fields of CR meromorphic functions. Rendiconti del Seminario Matematico della Università di Padova, Tome 113 (2005), pp. 99-115. http://archive.numdam.org/item/RSMUP_2005__113__99_0/
[A] Théorèmes de dependence algébrique sur les espaces complexes pseudo-concaves, Bull. Soc. Math. France, 91 (1963), pp. 1-38. | Numdam | MR | Zbl
,[ASi] Projective embedding of pseudoconcave spaces, Ann. Scuola Norm. Sup. Pisa, 24 (s. 3) (1970), pp. 231-278. | Numdam | MR | Zbl
- ,[ASt] Analytic and algebraic dependence of meromorphic functions, Lecture Notes in Mathematics 234 (1971), Springer Berlin. | MR | Zbl
- ,[AT] Some remarks on pseudoconcave manifolds, Essays on topology and related topics Mémoirs dediés à G. deRham (1970), pp. 85-104. | MR | Zbl
- ,[AG] Algebraische Körper von automorphen Funktionen, Nachr. Ak. Wiss. Göttingen (1961), pp. 39-48 | MR | Zbl
- ,[BHN] Remarks on weakly pseudoconvex boundaries, Indag. Mathem. N.S. 14 (2003), pp. 1-10 | MR | Zbl
- - ,[BP] Holomorphic extensions of CR functions, Duke Math. J. 49 (1982), pp. 757-784. | MR | Zbl
- ,[C] On complex compact analytic varieties, Amer. J. Math., 71 (1949), pp. 893-914. | MR | Zbl
,[DCN] Unique continuation in abstract CR manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 27 (1999), pp. 27-46. | Numdam | Zbl
- ,[HN1] A necessary condition for global Stein immersion of compact CR manifolds, Riv. Mat. Univ. Parma 5 (1992), pp. 175-182. | MR | Zbl
- ,[HN2] The topology of Stein CR manifolds and the Lefschetz theorem, Ann. Inst. Fourier, Grenoble 43 (1993), pp. 459-468. | Numdam | MR | Zbl
- ,[HN3] Pseudoconcave CR manifolds, Complex Analysis and Geometry (eds. Ancona, Ballico, Silva) Marcel Dekker, Inc, New York, (1996), pp. 275-297. | MR | Zbl
- ,[HN4] Aneurysms of pseudoconcave CR manifolds, Math. Z., 220 (1995), pp. 347-367. | MR | Zbl
- ,[HN5] Duality and distribution cohomology of CR manifolds, Ann. Scuola Norm. Sup. Pisa, 22 (1995), pp. 315-339. | Numdam | MR | Zbl
- ,[HN6] On the Cauchy problem in complex analysis, Annali di Matematica pura e applicata, CLXXI (IV) (1996), pp. 159-179. | MR | Zbl
- ,[HN7] Conormal suspensions of differential complexes, J. Geom. Anal., 10 (2000), pp. 481-523. | MR | Zbl
- ,[HN8] A weak pseudoconcavity condition for abstract almost CR manifolds, Invent. math., 142 (2000), pp. 251-283 | MR | Zbl
- ,[HN9] Weak pseudoconcavity and the maximum modulus principle, Annali di Matematica, 182 (2003), pp. 103-112 | MR | Zbl
- ,[HN10] Pseudoconvexity at infinity, Selected topics in Cauchy-Riemann geometry (ed. S. Dragomir) vol. 9, Aracne, Caserta (2001) pp. 139-173. | MR | Zbl
- ,[HN11] Two lemmas on double complexes and their applications to CR cohomology, Selected topics in Cauchy-Riemann geometry (ed. S. Dragomir) vol. 9, Aracne, Caserta (2001) pp. 125-138. | MR | Zbl
- ,[HN12] Fields of CR meromorphic functions, Sem. Mat. Univ. Padova, 111 (2004), pp. ???. | Numdam | MR | Zbl
- ,[HP] The H-principle and pseudoconcave CR manifolds, Proceedings of Albertofest, Cuernavaca, Mexico 2004. | MR | Zbl
- ,[L] Studi sui punti singolari essenziali delle funzioni analitiche di due o più variabili complesse, Ann. Mat. Pura Appl., XVII (s. III) (1909); Opere, Cremonese, Roma (1958), pp. 187-213. | JFM
,[MN] Pluriharmonic function on abstract CR manifolds, Annali di Matematica pura ed applicata, CLXX (s. IV) (1996), pp. 377-394. | MR | Zbl
- ,[NV] Tangential Cauchy-Riemann complexes on distributions, Ann. Mat. Pura Appl., 146 (1987), pp. 123-160. | MR | Zbl
- ,[Se] Fonctions automorphes, quelques majorations dans le cas où X/G est compact., Séminaire H. Cartan 1953-54, Benjamin, New York, 1957. | Numdam
,[Si] Meromorphe Funktionen auf kompakten analytischen Manningfaltigkeiten, Nachr. Ak. Wiss Göttingen (1955), pp. 71-77. | MR | Zbl
,