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.
Authors
- Valentino Tosatti
- Yang Li (ORCID: https://orcid.org/0000-0003-0458-1714)
Institutions
- University of Cambridge (GB)
- Courant Institute of Mathematical Sciences (US)
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
Funders
- National Science Foundation