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词条 Kähler quotient
释义

  1. See also

  2. References

In mathematics, the Kähler quotient of a Kähler manifold V by a compact group acting on V is given by the quotient of a fiber over a fixed point (or more generally a G-orbit) of the moment map V → g* by the action of G. It is a version of the symplectic quotient for Kähler manifolds.

The Kähler quotient by a group G is closely related to the Mumford quotient by a complexification of G.

See also

  • Hyperkähler quotient

References

  • {{Citation | last1=Mumford | first1=David | author1-link=David Mumford | last2=Fogarty | first2=J. | last3=Kirwan | first3=F. | title=Geometric invariant theory | publisher=Springer-Verlag | location=Berlin, New York | edition=3rd | series=Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results in Mathematics and Related Areas (2)] | isbn=978-3-540-56963-3 |mr=1304906 | year=1994 | volume=34}}
{{DEFAULTSORT:Kahler quotient}}

1 : Complex manifolds

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