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1. Weakly special test configurations of log canonical Fano varieties

Author

Chen, Guodu and Zhou, Chuyu

Subjects
fundamental theorems, Mathematics - Algebraic Geometry, Algebra and Number Theory, k-stability, weakly special test configurations, lc fano variety, FOS: Mathematics, complement, weakly special test configuration, singularities, Algebraic Geometry (math.AG)
Abstract

Let $X$ be a strictly log canonical Fano variety, we show that every lc place of complements is dreamy, and there exists a correspondence between weakly special test configurations of $(X,-K_X)$ and lc places of complements., Comment: 18 pages. Final version, to appear in Algebraic & Number Theory

Published
2021
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