The microlocal b-function on singular ambient varieties strictly refines the reduced b-function and its minimal exponent detects rational singularities of divisors.
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Generalizes positivity theorems of Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles to smooth proper DM stacks admitting projective coarse moduli spaces.
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Microlocal Bernstein--Sato polynomials on singular ambient varieties
The microlocal b-function on singular ambient varieties strictly refines the reduced b-function and its minimal exponent detects rational singularities of divisors.
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Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks
Generalizes positivity theorems of Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles to smooth proper DM stacks admitting projective coarse moduli spaces.