Pseudofree ℤ/3-actions on elliptic surfaces E (4)

Hongxia Li; Ximin Liu

doi:10.1556/sscmath.45.2008.2.51

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 45: Issue 2

Pseudofree ℤ/3-actions on elliptic surfaces E (4)

Authors:

Hongxia Li

Hongxia Li Dalian University of Technology Department of Applied Mathematics Dalian 116024 China

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Ximin Liu

Ximin Liu Dalian University of Technology Department of Applied Mathematics Dalian 116024 China

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Pages:: 273–284

Online Publication Date:: 13 May 2008

Publication Date:: 01 Jun 2008

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.45.2008.2.51

Keywords:: Primary 57S17; Secondary 57S25, 57M60, 57R57; group actions; locally linear; pseudofree; elliptic surface; Seiberg-Witten invariants

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In this paper we give a weak classification of locally linear pseudofree actions of the cyclic group of order 3 on an elliptic surface E (4), and prove the existence of such actions which can not be realized as smooth actions on the standard smooth E (4).

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Studia Scientiarum Mathematicarum Hungarica

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Studia Scientiarum Mathematicarum Hungarica
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