Generic regularity of intermediate complex structure limits

Abstract We study certain polarized degenerations of Calabi–Yau manifolds near an intermediate complex structure limit, and improve the potential <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>C</m:mi> <m:mn>0</m:mn> </m:msup> </m:math> C^{0} -convergence to a metric convergence result on the generic region for the corresponding collapsing Ricci-flat Kähler metrics.

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Publication Details

Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Published
2026-03-02
DOI
https://doi.org/10.1515/crelle-2026-0013
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00

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article

Generic regularity of intermediate complex structure limits

Valentino Tosatti, Yang Li
Journal für die reine und angewandte Mathematik (Crelles Journal)
Geometry and complex manifolds
article

Generic regularity of intermediate complex structure limits

Valentino Tosatti, Yang Li
article en

Abstract

Abstract We study certain polarized degenerations of Calabi–Yau manifolds near an intermediate complex structure limit, and improve the potential <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>C</m:mi> <m:mn>0</m:mn> </m:msup> </m:math> C^{0} -convergence to a metric convergence result on the generic region for the corresponding collapsing Ricci-flat Kähler metrics.

Journal für die reine und angewandte Mathematik (Crelles Journal)
University of Cambridge (GB), Courant Institute of Mathematical Sciences (US)
National Science Foundation
Openalex Percentile: Top 97%
Geometry and complex manifolds
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