Fedder type criteria for quasi-$F$-splitting II
Tatsuro Kawakami, Teppei Takamatsu, and Shou Yoshikawa
TL;DR
This paper applies Fedder-type criteria to compute quasi-$F$-split heights for various algebraic varieties, revealing phenomena related to adjunction, fiber products, and fibrations.
Contribution
It provides explicit calculations of quasi-$F$-split heights for several classes of varieties using Fedder-type criteria, advancing understanding of their $F$-splitting properties.
Findings
Explicit quasi-$F$-split heights for Calabi-Yau hypersurfaces, bielliptic surfaces, Fano varieties, and rational double points.
Discovery of phenomena related to inversion of adjunction and fiber products.
Insights into the behavior of general fibers in fibrations.
Abstract
In this paper, we apply Fedder-type criteria for quasi--splitting to provide explicit computations of quasi--split heights for Calabi-Yau hypersurfaces, bielliptic surfaces, Fano varieties, and rational double points. We also find interesting phenomena concerned with inversion of adjunction, fiber products, Fano varieties, and general fibers of fibrations.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology