56 citations · 338 across the 56 of their papers we have counts for
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D-modules in birational geometry
Mihnea Popa
It is well known that numerical quantities arising from the theory of D-modules are related to invariants of singularities in birational geometry. This paper surveys a deeper relat…
Hodge ideals for Q-divisors, V-filtration, and minimal exponent
Mircea Mustata, Mihnea Popa
We explicitly compute the Hodge ideals of Q-divisors in terms of the V-filtration induced by a local defining equation, inspired by a result of Saito in the reduced case. We deduce…
Hodge ideals for Q-divisors: birational approach
Mircea Mustata, Mihnea Popa
We develop the theory of Hodge ideals for Q-divisors by means of log resolutions, extending our previous work on reduced hypersurfaces. We prove local (non-)triviality criteria and…
Brody hyperbolicity of base spaces of certain families of varieties
Mihnea Popa, Behrouz Taji, Lei Wu
We prove that quasi-projective base spaces of smooth families of minimal varieties of general type with maximal variation do not admit Zariski dense entire curves. We deduce the fa…