Holomorphic bijections of algebraic sets
Annales Polonici Mathematici (1997)
- Volume: 66, Issue: 1, page 63-66
- ISSN: 0066-2216
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Abstract
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topSławomir Cynk, and Kamil Rusek. "Holomorphic bijections of algebraic sets." Annales Polonici Mathematici 66.1 (1997): 63-66. <http://eudml.org/doc/270017>.
@article{SławomirCynk1997,
abstract = {We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].},
author = {Sławomir Cynk, Kamil Rusek},
journal = {Annales Polonici Mathematici},
keywords = {quasi-projective algebraic set; w-holomorphic mapping; holomorphic bijections; quasi-projective algebraic sets; weak holomorphic function; singularities},
language = {eng},
number = {1},
pages = {63-66},
title = {Holomorphic bijections of algebraic sets},
url = {http://eudml.org/doc/270017},
volume = {66},
year = {1997},
}
TY - JOUR
AU - Sławomir Cynk
AU - Kamil Rusek
TI - Holomorphic bijections of algebraic sets
JO - Annales Polonici Mathematici
PY - 1997
VL - 66
IS - 1
SP - 63
EP - 66
AB - We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].
LA - eng
KW - quasi-projective algebraic set; w-holomorphic mapping; holomorphic bijections; quasi-projective algebraic sets; weak holomorphic function; singularities
UR - http://eudml.org/doc/270017
ER -
References
top- [B] A. Borel, Injective endomorphisms of algebraic varieties, Arch. Math. (Basel) 20 (1969), 531-537. Zbl0189.21402
- [C] S. Cynk, Primary decomposition of algebraic sheaves, preprint, 1995.
- [CR] S. Cynk and K. Rusek, Injective endomorphisms of algebraic and analytic sets, Ann. Polon. Math. 56 (1991), 29-35. Zbl0761.14005
- [Ł] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991. Zbl0747.32001
- [N] K. Nowak, Injective endomorphisms of algebraic varieties, Math. Ann. 299 (1994), 769-778. Zbl0803.14007
- [W] H. Whitney, Complex Analytic Varieties, Addison-Wesley, 1972. Zbl0265.32008
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