Shrinking gradient K\"ahler-Ricci solitons are simply-connected

We show that smooth polarized Fano fibrations have no nontrivial finite covers. Using results by Sun-Zhang and Wylie, it follows that shrinking K"ahler-Ricci solitons are simply-connected.

Publication Details

Journal
ArXiv.org
Published
2025-03-06
Primary Topic
Geometry and complex manifolds
Type
article
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article

Shrinking gradient K\"ahler-Ricci solitons are simply-connected

ArXiv.org
Geometry and complex manifolds
article

Shrinking gradient K\"ahler-Ricci solitons are simply-connected

article en

Abstract

We show that smooth polarized Fano fibrations have no nontrivial finite covers. Using results by Sun-Zhang and Wylie, it follows that shrinking K\"ahler-Ricci solitons are simply-connected.

ArXiv.org
Openalex Percentile: Top 42%
Geometry and complex manifolds
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Shrinking gradient K\"ahler-Ricci solitons are simply-connected · ArXiv.org (2025) | TGRS Research Map | TGRS