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Frobenius reciprocity asserts that induction from a subgroup and restriction to it are adjoint functors in categories of unitary G-modules. In the 1980s, Guillemin and Sternberg established a parallel property of Hamiltonian G-spaces, which (as we show) un ...
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) ...
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). ...
