On cscK resolutions of conically singular cscK varieties

Claudio Arezzo; Cristiano Spotti

doi:10.1016/j.jfa.2016.04.025

On cscK resolutions of conically singular cscK varieties

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Abstract

In this note we discuss the problem of resolving conically singular cscK varieties to construct smooth cscK manifolds, showing a glueing result for (some) crepant resolutions of cscK varieties with discrete automorphism groups.

Original language	English
Journal	Journal of Functional Analysis
Volume	271
Issue	2
Pages (from-to)	474-494
Number of pages	21
ISSN	0022-1236
DOIs	https://doi.org/10.1016/j.jfa.2016.04.025
Publication status	Published - Jul 2016
Externally published	Yes

Keywords

Conical metrics
Constant scalar curvature
Kähler

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10.1016/j.jfa.2016.04.025

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title = "On cscK resolutions of conically singular cscK varieties",

abstract = "In this note we discuss the problem of resolving conically singular cscK varieties to construct smooth cscK manifolds, showing a glueing result for (some) crepant resolutions of cscK varieties with discrete automorphism groups.",

keywords = "Conical metrics, Constant scalar curvature, K{\"a}hler",

author = "Claudio Arezzo and Cristiano Spotti",

year = "2016",

month = jul,

doi = "10.1016/j.jfa.2016.04.025",

language = "English",

volume = "271",

pages = "474--494",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

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T1 - On cscK resolutions of conically singular cscK varieties

AU - Arezzo, Claudio

AU - Spotti, Cristiano

PY - 2016/7

Y1 - 2016/7

N2 - In this note we discuss the problem of resolving conically singular cscK varieties to construct smooth cscK manifolds, showing a glueing result for (some) crepant resolutions of cscK varieties with discrete automorphism groups.

AB - In this note we discuss the problem of resolving conically singular cscK varieties to construct smooth cscK manifolds, showing a glueing result for (some) crepant resolutions of cscK varieties with discrete automorphism groups.

KW - Conical metrics

KW - Constant scalar curvature

KW - Kähler

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U2 - 10.1016/j.jfa.2016.04.025

DO - 10.1016/j.jfa.2016.04.025

M3 - Journal article

SN - 0022-1236

VL - 271

SP - 474

EP - 494

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

On cscK resolutions of conically singular cscK varieties

Abstract

Keywords

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