Extremal Kähler metrics on blow-ups of parabolic ruled surfaces

Carl Tipler

Bulletin de la Société Mathématique de France (2013)

  • Volume: 141, Issue: 3, page 481-516
  • ISSN: 0037-9484

Abstract

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New examples of extremal Kähler metrics are given on blow-ups of parabolic ruled surfaces. The method used is based on the gluing construction of Arezzo, Pacard and Singer [5]. This enables to endow ruled surfaces of the form ( 𝒪 ⊕ L ) with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.

How to cite

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Tipler, Carl. "Extremal Kähler metrics on blow-ups of parabolic ruled surfaces." Bulletin de la Société Mathématique de France 141.3 (2013): 481-516. <http://eudml.org/doc/272664>.

@article{Tipler2013,
abstract = {New examples of extremal Kähler metrics are given on blow-ups of parabolic ruled surfaces. The method used is based on the gluing construction of Arezzo, Pacard and Singer [5]. This enables to endow ruled surfaces of the form $¶(\mathcal \{O\}\oplus L)$ with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.},
author = {Tipler, Carl},
journal = {Bulletin de la Société Mathématique de France},
keywords = {extremal kähler metrics; Hirzebruch-Jung singularities; resolution; iterated blow-ups; parabolic structures},
language = {eng},
number = {3},
pages = {481-516},
publisher = {Société mathématique de France},
title = {Extremal Kähler metrics on blow-ups of parabolic ruled surfaces},
url = {http://eudml.org/doc/272664},
volume = {141},
year = {2013},
}

TY - JOUR
AU - Tipler, Carl
TI - Extremal Kähler metrics on blow-ups of parabolic ruled surfaces
JO - Bulletin de la Société Mathématique de France
PY - 2013
PB - Société mathématique de France
VL - 141
IS - 3
SP - 481
EP - 516
AB - New examples of extremal Kähler metrics are given on blow-ups of parabolic ruled surfaces. The method used is based on the gluing construction of Arezzo, Pacard and Singer [5]. This enables to endow ruled surfaces of the form $¶(\mathcal {O}\oplus L)$ with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.
LA - eng
KW - extremal kähler metrics; Hirzebruch-Jung singularities; resolution; iterated blow-ups; parabolic structures
UR - http://eudml.org/doc/272664
ER -

References

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