A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton

Richard H. Bamler; Charles Cifarelli; Ronan J. Conlon; Alix Deruelle

doi:10.1007/s00039-024-00668-9

A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton

Richard H. Bamler
, Charles Cifarelli
, Ronan J. Conlon
, Alix Deruelle

Mathematics

University of California at Berkeley
University of Texas at Dallas
Laboratoire de Mathématiques d'Orsay

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of at one point. This completes the classification of such solitons in two complex dimensions.

Original language	English
Pages (from-to)	377-392
Number of pages	16
Journal	Geometric and Functional Analysis
Volume	34
Issue number	2
DOIs	https://doi.org/10.1007/s00039-024-00668-9
State	Published - Apr 2024

Access to Document

10.1007/s00039-024-00668-9

Cite this

@article{e04abf7663f645e6a2532718b8a90958,

title = "A New Complete Two-Dimensional Shrinking Gradient K{\"a}hler-Ricci Soliton",

abstract = "We prove the existence of a unique complete shrinking gradient K{\"a}hler-Ricci soliton with bounded scalar curvature on the blowup of at one point. This completes the classification of such solitons in two complex dimensions.",

author = "Bamler, \{Richard H.\} and Charles Cifarelli and Conlon, \{Ronan J.\} and Alix Deruelle",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.",

year = "2024",

month = apr,

doi = "10.1007/s00039-024-00668-9",

language = "English",

volume = "34",

pages = "377--392",

journal = "Geometric and Functional Analysis",

issn = "1016-443X",

number = "2",

}

TY - JOUR

T1 - A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton

AU - Bamler, Richard H.

AU - Cifarelli, Charles

AU - Conlon, Ronan J.

AU - Deruelle, Alix

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

PY - 2024/4

Y1 - 2024/4

N2 - We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of at one point. This completes the classification of such solitons in two complex dimensions.

AB - We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of at one point. This completes the classification of such solitons in two complex dimensions.

UR - https://www.scopus.com/pages/publications/85185139322

U2 - 10.1007/s00039-024-00668-9

DO - 10.1007/s00039-024-00668-9

M3 - Article

AN - SCOPUS:85185139322

SN - 1016-443X

VL - 34

SP - 377

EP - 392

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

IS - 2

ER -

A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton

Abstract

Access to Document

Other files and links

Fingerprint

Cite this