5 papers
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…
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…
Moment maps and equivariant Szego kernels
Roberto Paoletti
Suppose given an Hamiltonian action of a compact semisimple Lie group on a polarized complex projective manifold . We study by means of microlocal techniques the local and g…
The asymptotic growth of equivariant sections of positive and big line bundles
Roberto Paoletti
If a finite group acts holomorphically on a pair (X,L), where X is a complex projective manifold and L a line bundle on it, for every k the space of holomorphic global section of t…
Szego Kernels and Finite Group Actions
Roberto Paoletti
In the context of almost complex quantization, a natural generalization of algebro-geometric linear series on a compact symplectic manifold has been proposed. Here we suppose given…