On compact complex manifolds with finite automorphism group

• Autorzy: Czaja K.

Identyfikatory

DOI

10.4064/ba53-1-1

• Języki publikacji: EN

Abstrakty

EN

It is known that compact complex manifolds of general type and Kobayashi hyperbolic manifolds have finite automorphism groups. We give criteria for finiteness of the automorphism group of a compact complex manifold which allow us to produce large classes of compact complex manifolds with finite automorphism group but which are neither of general type nor Kobayashi hyperbolic.

Słowa kluczowe

EN

manifolds with finite automorphism group; non-Kahler manifolds

PL

rozmaitość ze skończoną grupą automorfizmów

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 1
• Strony: 1--5
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Czaja K.

• Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warszawa, Poland

Bibliografia

• [1] S. Cynk and T. Szemberg, On Urata fibre bundles, Bull. Polish Acad. Sci. Math. 45 (1997), 297–301.
• [2] K. Czaja, Two results on automorphism groups of complex manifolds, ibid. 39 (1991), 133–135.
• [3] Ph. Griffiths and J. Harris, Principles of Algebraic Geometry, Dekker, 1978.
• [4] S. Kondo, Enriques surfaces with finite automorphism groups, Japan J. Math. 12 (1986), 191–282.
• [5] —, Algebraic K3 surfaces with finite automorphism groups, Nagoya Math. J. 116 (1989), 1–15.
• [6] R. Remmert und T. Van de Ven, Über holomorphe Abbildungen projektiv-algebraischer Mannigfaltigkeiten auf komplexe Räume, Math. Ann. 142 (1961), 453–486.
• [7] I. R. Shafarevich, Basic Algebraic Geometry, Springer, 1977.
• [8] K. Ueno, Classification Theory of Algebraic Varieties and Compact Complex Spaces, Lecture Notes in Math. 439, Springer, 1975.