Stability conditions on surface root stacks
Yeqin Liu, Yu Shen

TL;DR
This paper develops tilt stability conditions on surface root stacks, demonstrating they satisfy the support property within the framework of rational Chen-Ruan cohomology, advancing the understanding of stability in algebraic geometry.
Contribution
It introduces tilt stability conditions on surface root stacks and proves their support property in the context of Chen-Ruan cohomology, a novel extension in the field.
Findings
Established tilt stability conditions on surface root stacks.
Proved support property with respect to rational Chen-Ruan cohomology.
Enhanced the theoretical framework for stability conditions in algebraic geometry.
Abstract
We construct tilt stability conditions on surface root stacks and show that they have support property with respect to the rational Chen-Ruan cohomology.
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Taxonomy
TopicsPlant Surface Properties and Treatments
