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arXiv · 1807.01932

Hodge ideals for Q-divisors: birational approach

Mircea Mustata·Mihnea Popa
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Abstract

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 a global vanishing theorem, as well as other analogues of standard results from the theory of multiplier ideals, and we derive a new local vanishing theorem. The connection with the V-filtration is analyzed in a sequel.

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Mircea Mustata, Mihnea Popa. 2018-07-05. Hodge ideals for Q-divisors: birational approach. https://arxiv.org/abs/1807.01932

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