Let (X, Delta) be a projective log canonical Calabi-Yau pair and L an ample Q-line bundle on X, we show that there is a correspondence between lc places of (X, Delta) and weakly special test configurations of (X, Delta; L).
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We study the index of log Calabi–Yau pairs (X, B) of coregularity 0. We show that 2λ(KX + B) ∼ 0, where λ is the Weil index of (X, B). This is in contrast to the case of klt Calabi–Yau varieties, where the index can grow doubly exponentially with the dimen ...
We consider the problem of computing the Lebesgue volume of compact basic semi-algebraic sets. In full generality, it can be approximated as closely as desired by a converging hierarchy of upper bounds obtained by applying the Moment-SOS (sums of squares) ...
