Hulls of subsets of the torus in
Annales de l'institut Fourier (1998)
- Volume: 48, Issue: 3, page 785-795
- ISSN: 0373-0956
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topAlexander, Herbert. "Hulls of subsets of the torus in ${\mathbb {C}}^2$." Annales de l'institut Fourier 48.3 (1998): 785-795. <http://eudml.org/doc/75303>.
@article{Alexander1998,
abstract = {We construct a non-polynomially convex compact subset of the unit torus in $\{\Bbb C\}^2$ with polynomially convex hull containing no analytic structure.},
author = {Alexander, Herbert},
journal = {Annales de l'institut Fourier},
keywords = {polynomial hull; analytic structure; torus},
language = {eng},
number = {3},
pages = {785-795},
publisher = {Association des Annales de l'Institut Fourier},
title = {Hulls of subsets of the torus in $\{\mathbb \{C\}\}^2$},
url = {http://eudml.org/doc/75303},
volume = {48},
year = {1998},
}
TY - JOUR
AU - Alexander, Herbert
TI - Hulls of subsets of the torus in ${\mathbb {C}}^2$
JO - Annales de l'institut Fourier
PY - 1998
PB - Association des Annales de l'Institut Fourier
VL - 48
IS - 3
SP - 785
EP - 795
AB - We construct a non-polynomially convex compact subset of the unit torus in ${\Bbb C}^2$ with polynomially convex hull containing no analytic structure.
LA - eng
KW - polynomial hull; analytic structure; torus
UR - http://eudml.org/doc/75303
ER -
References
top- [A] H. ALEXANDER, Continuing 1-dimensional analytic sets, Math. Ann., 191 (1971), 143-144. Zbl0211.10204MR44 #469
- [DS] K. DAVIDSON and N. SALINASA, Joint quasitriangularity of essentially unitary pairs, American J. Math., 115 (1993), 861-879. Zbl0938.47017MR94j:47029
- [D] J.-P. DEMAILLY, Courants positifs extrêmaux and conjecture de Hodge, Invent. Math., 69 (1982), 347-374. Zbl0488.58001MR84f:32007
- [DL] J. DUVAL and N. LEVENBERG, Large polynomial hulls with no analytic structure, to appear in Complex Analysis and Geometry, Trento, 1995. Zbl0885.32010
- [DSib] J. DUVAL and N. SIBONY, Polynomial convexity, rational convexity and currents and currents, Duke Math. J., 79 (1995), 487-519. Zbl0838.32006MR96f:32016
- [FL] J.-E. FORNAESS and N. LEVENBERG, A nonpluripolar hull with no analytic structure, to appear in Complex Analysis in Several Variables, editor T. M. Rassias. Zbl0949.32006
- [Sh] B. SHIFFMAN, On the continuation of analytic curves, Math Ann., 185 (1970), 1-12. Zbl0176.38004MR47 #8900
- [Sl] Z. SLODKOWSKI, Analytic set-valued functions and spectra, Math. Ann., 256 (1981), 363-386. Zbl0452.46028MR83b:46070
- [St] K. STEIN, Meromorphic mappings, l'Enseignement Math., Ser. II, 14 (1968), 29-46. Zbl0165.40502MR39 #4448
- [S] G. STOLZENBERG, A hull with no analytic structure, J. Math. Mech., 12 (1963), 103-112. Zbl0113.29101MR26 #627
- [W] J. WERMER, Polynomial convex hulls and analyticity, Ark. Mat., 20 (1982), 129-135. Zbl0491.32013MR84b:32021
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