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math.AG2004
Equivariant volumes for linearized actions
Alberto Della Vedova, Roberto Paoletti
Suppose given a linearized action on a polarized complex projective manifold (M,L), and assume that the stable locus is non-empty. We study the leading asymptotics of the dimension…
math.SG2004
The Szego kernel of a symplectic quotient
Roberto Paoletti
Suppose a compact Lie group acts on a polarized complex projective manifold (M,L). Under favorable circumstances, the Hilbert-Mumford quotient for the action of the complexified gr…