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Mathematics > Algebraic Geometry

arXiv:1807.02375 (math)
[Submitted on 6 Jul 2018 (v1), last revised 10 Oct 2018 (this version, v2)]

Title:D-modules in birational geometry

Authors: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.
Comments: 21 pages; in the Proceedings of the ICM, Rio de Janeiro, 2018; v2 contains a few corrections and additional results compared to the published version
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14F10, 14J17, 32S25, 14F17, 14F18, 14C30
Cite as: arXiv:1807.02375 [math.AG]
  (or arXiv:1807.02375v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.02375

Submission history

From: Mihnea Popa [view email]
[v1] Fri, 6 Jul 2018 12:23:17 UTC (31 KB)
[v2] Wed, 10 Oct 2018 20:34:22 UTC (31 KB)
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