Cohomology formula for obstructions to asymptotic Chow semistability
Yuta Suzuki
TL;DR
This paper extends the intersection formula for Donaldson-Futaki invariants to higher Futaki invariants, which serve as obstructions to asymptotic Chow semistability, providing a new cohomological perspective.
Contribution
It generalizes Odaka and Wang's intersection formula to higher Futaki invariants, offering a cohomological formula for obstructions to asymptotic Chow semistability.
Findings
Derived a cohomology formula for higher Futaki invariants
Extended intersection formula to obstructions of asymptotic Chow semistability
Provided a new tool for analyzing stability in algebraic geometry
Abstract
Odaka and Wang proved the intersection formula for the Donaldson-Futaki invariant. In this paper, we generalize this result for the higher Futaki invariants which are obstructions to asymptotic Chow semistability.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Algebra and Geometry