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arXiv · 1807.02375

D-modules in birational geometry

Mihnea Popa
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Abstract

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 relationship between the two areas, where the numerical connections are enhanced to sheaf theoretic constructions facilitated by the theory of mixed Hodge modules. The emphasis is placed on the recent theory of Hodge ideals.

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Mihnea Popa. 2018-07-06. D-modules in birational geometry. https://arxiv.org/abs/1807.02375

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