Fixed points, exceptional orbits, and homology of affine $\mathbb {C}^*$-surfaces

Karl-Heinz Fieseler; Ludger Kaup

Displaying similar documents to “Fixed points, exceptional orbits, and homology of affine $ℂ^{*}$ -surfaces”

Homology Hopf surfaces

Wolfgang Ebeling, Christian Okonek (1994)

Compositio Mathematica

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Affine diffeomorphisms of translation surfaces : periodic points, fuchsian groups, and arithmeticity

Eugene Gutkin, Pascal Hubert, Thomas A. Schmidt (2003)

Annales scientifiques de l'École Normale Supérieure

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The additive group actions on $ℚ$ -homology planes

Kayo Masuda, Masayoshi Miyanishi (2003)

Annales de l’institut Fourier

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In this article, we prove that a $ℚ$ -homology plane $X$ with two algebraically independent $G_{a}$ -actions is isomorphic to either the affine plane or a quotient of an affine hypersurface $x y = z^{m} - 1$ in the affine $3$ -space via a free $ℤ / m ℤ$ -action, where $m$ is the order of a finite group $H_{1} (X; ℤ)$ .

Group actions on rational homology spheres

Stefano De Michelis (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We study the homology of the fixed point set on a rational homology sphere under the action of a finite group.

Invariants of translation surfaces

Pascal Hubert, Thomas A. Schmidt (2001)

Annales de l’institut Fourier

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We definite invariants of translation surfaces which refine Veech groups. These aid in exact determination of Veech groups. We give examples where two surfaces of isomorphic Veech group cannot even share a common tree of balanced affine coverings. We also show that there exist translation surfaces of isomorphic Veech groups which cannot affinely cover any common surface. We also extend a result of Gutkin and Judge and thereby give the first examples of noncompact...

Displaying similar documents to “Fixed points, exceptional orbits, and homology of affine ℂ * -surfaces”

Homology Hopf surfaces

Affine diffeomorphisms of translation surfaces : periodic points, fuchsian groups, and arithmeticity

The additive group actions on ℚ -homology planes

Group actions on rational homology spheres

Invariants of translation surfaces

Displaying similar documents to “Fixed points, exceptional orbits, and homology of affine $ℂ^{*}$ -surfaces”

The additive group actions on $ℚ$ -homology planes