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math.AG2019★ 4 cited
Hodge ideals and minimal exponents of ideals
Mircea Mustata, Mihnea Popa
We define and study Hodge ideals associated to a coherent ideal sheaf J on a smooth complex variety, via algebraic constructions based on the already existing concept of Hodge idea…
math.AG2019★ 13 cited
Hodge filtration, minimal exponent, and local vanishing
Mircea Mustata, Mihnea Popa
We bound the generation level of the Hodge filtration on the localization along a hypersurface in terms of its minimal exponent. As a consequence, we obtain a local vanishing theor…