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math.AG2026
Stratified motivic invariants and bivariate deformations of Poincaré polynomials
Gergely Bérczi, Young-Hoon Kiem
For a stratified variety and a motivic invariant , we consider the stratified invariant which interpolates the invariant of and that of its interior …
math.AG2026
Real-rootedness of the Poincaré polynomials of : an AI-assisted proof
Gergely Bérczi, Young-Hoon Kiem
We prove real-rootedness for the Poincaré polynomial \[ P_n(t)=\sum_{i=0}^{n-3} \dim H^{2i}(\overline{\mathcal M}_{0,n};\mathbb{Q})t^i \] of the Deligne--Mumford moduli space $\ove…