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The central sphere of an ALE space
- Publication Year :
- 2022
- Publisher :
- Oxford University Press, 2022.
-
Abstract
- This paper focuses on the spherical fixed point set of a circle action on an ALE space endowed with Kronheimer's hyperkaehler metric. The induced metric on the sphere is described by using the algebraic geometry of rational curves on algebraic surfaces, in particular the lines on a cubic.<br />Dedicated to the memory of Michael Atiyah
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
General Mathematics
010102 general mathematics
Algebraic geometry
Fixed point
Space (mathematics)
01 natural sciences
Induced metric
Action (physics)
Set (abstract data type)
Mathematics - Algebraic Geometry
53C26
Differential Geometry (math.DG)
0103 physical sciences
Metric (mathematics)
Algebraic surface
FOS: Mathematics
Mathematics::Differential Geometry
010307 mathematical physics
0101 mathematics
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....3b38b8a784745bdc048cbc4822f69c68