@incollection{AST_1993__217__251_0, author = {Zaidenberg, M. G.}, title = {An analytic cancellation theorem and exotic algebraic structures on $C^n , n \geq 3$}, booktitle = {Colloque d'analyse complexe et g\'eom\'etrie - Marseille, janvier 1992}, series = {Ast\'erisque}, pages = {251--282}, publisher = {Soci\'et\'e math\'ematique de France}, number = {217}, year = {1993}, language = {en}, url = {http://www.numdam.org/item/AST_1993__217__251_0/} }
TY - CHAP AU - Zaidenberg, M. G. TI - An analytic cancellation theorem and exotic algebraic structures on $C^n , n \geq 3$ BT - Colloque d'analyse complexe et géométrie - Marseille, janvier 1992 AU - Collectif T3 - Astérisque PY - 1993 SP - 251 EP - 282 IS - 217 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1993__217__251_0/ LA - en ID - AST_1993__217__251_0 ER -
%0 Book Section %A Zaidenberg, M. G. %T An analytic cancellation theorem and exotic algebraic structures on $C^n , n \geq 3$ %B Colloque d'analyse complexe et géométrie - Marseille, janvier 1992 %A Collectif %S Astérisque %D 1993 %P 251-282 %N 217 %I Société mathématique de France %U http://www.numdam.org/item/AST_1993__217__251_0/ %G en %F AST_1993__217__251_0
Zaidenberg, M. G. An analytic cancellation theorem and exotic algebraic structures on $C^n , n \geq 3$, dans Colloque d'analyse complexe et géométrie - Marseille, janvier 1992, Astérisque, no. 217 (1993), pp. 251-282. http://www.numdam.org/item/AST_1993__217__251_0/
[Ab Ha Ea] On the uniqueness of the coefficient ring in a polynomial ring. J. Algebra 23 (1972), 310-342
, , :[Da] On a cancellation problem and automorphism group of affine algebraic varieties. Preprint.
:[Fu 1] On the topology of non-complete algebraic surfaces. J. Fac. Sci. Univ. Tokyo (Ser. 1A) 29 (1982), 503-566
:[Fu 2] On Zariski problem. Proc Japan Acad. (Ser. A) 55 (1979), 106-110
:[Gi] Invariants of incomplete algebraic surfaces that can be obtained by means of completions (Russian). Izvestiya Akad. Nauk SSSR, Ser. Mat. 35 (1971), 485-497
:[Gu 1] Affine varieties dominated by . Comment. Math. Helvetici 55 (1980), 378-389.
:[Gu 2] Topology of affine varieties dominated by an affine space. Invent. Math. 59 (1980), 221-225
:[Gu Mi] Affine surfaces with . In: Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata, 1987, pp. 99-124.
, :[Gu Sha] On the rationality of complex homology -cells. I. J. Math. Soc. Japan 41-1 (1989), 37-56
, :On the rationality of complex homology -cells. II. J. Math. Soc. Japan 41-2 (1989), 175-212
, :[Ii 1] On logarithmic Kodaira dimensions of algebraic varieties. In: Complex analysis and Algebraic Geometry. Tokyo: Iwanami 1977, pp. 175-189.
:[Ii 2] Some applications of logarithmic Kodaira dimensions. In: Algebraic Geometry (Proc. Intern. Symp. Kyoto 1978), Tokyo: Kinokuniya 1978, pp. 185-206
:[Ii Fu] Cancellation theorem for algebraic varieties. J. Fac. Sci. Univ. Tokyo (Sec. 1A) 24 (1977), 123-127
, :[Ka] Polynomials on with isomorphic generic fibers. Soviet Math. Doklady 33-1 (1986), 600-603.
:[Km] On Fujita's strong cancellation theorem for the affine plane. J. Fac. Sci. Univ. Tokyo (Sec.1A) 27 (1980), 535-548
:[Kaw] On the classification of non-complete algebraic surfaces. In: Algebraic Geometry (Proc. Copenhagen Summer Meeting). Lecture Notes in Math. 732, Berlin e. a.: Springer-Verlag 1971, pp. 215-232.
:[Mil] Lectures on the h-cobordism theorem. Princeton: Princeton Univ. Press 1965.
[Mi Tsu] Open algebraic surfaces with Kodaira dimension . In: Proc. Symposia in Pure Math. 46-1, 1987, pp. 435-450
, :[Mo] Compactifications of C2. Bull. AMS 78 (1972), 813-816.
:[Ni Suz] Sur les singularites essentielles et isolees des applications holomorphes a valeuers dans une surface complexe. Publ. RIMS Kyoto Univ. 16 (1980), 461-497.
, :[Ra] A topological characterization of the affine plane as an algebraic variety. Ann. Math. 94 (1971), 69-88.
:[Sa] Kodaira dimensions of complements of divisors. In: Complex analysis and Algebraic Geometry. Tokyo: Iwanami 1977, pp. 238-257.
:[Su] On T. Petrie's problem concerning homology planes. J. Math. Kyoto Univ. 30-2 (1990), 317-342.
:[tDi] Homology planes without cancellation property. Preprint (1990).
:[tDi Pe] Homology planes. An announcement and survey. In: Topological Methods in Algebraic Transformation Groups. Progress in Math. Vol. 80. Boston: Birkhauser 1989, pp. 27-48
, :[Ts] Rational maps to varieties of hyperbolic type. Proc Japan Acad. (Ser.A) 22 (1979), 95-100
:[Ur] Holomorphic automorphisms and cancellation theorems. Nagoya Math. J. 81 (1981), 91-103.
:[VdV] Analytic compactifications of complex homology cells. Math. Ann. 147 (1962), 189-204.
:[Za 1] On Ramanujam surfaces, -families and exotic algebraic structures on . Trudy Moscow Math. Soc. (to appear).
:[Za 2] Ramanujam's surfaces and exotic algebraic structures on . Soviet Math. Doklady; transl. from: Dokl. Akad. Nauk SSSR 314-6 (1990), 1303-1307.
:[Za 3] Isotrivial families of curves on affine surfaces and characterization of the affine plane. Math. USSR Izvestiya 30-3 (1988), 503-532. Additions and corrections to the paper...
:Isotrivial families of curves on affine surfaces and characterization of the affine plane transl. from: Izvestiya AN SSSR 25-1 (1991), 221-223.
:[Za 4] Rational actions of the group on , their quasi-invariants, and algebraic curves in with Euler characteristic . Soviet Math. Dokl. 31-1 (1985), 57-60.
: