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math.AG2026
Kähler thresholds
Gabriella Clemente, Carlos Simpson
The topology of Kähler manifolds is largely determined by the geometry due to its rigidity. In particular, the cohomology and Hodge theory of compact Kähler manifolds is quite re…
math.AG2025
A technical remark on the Donaldson-Futaki invariant for Fano reductive group compactifications
Gabriella Clemente
We present an elementary way of recovering a well-known criterion of K-stability for Fano reductive group compactifications.