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Steenbrink vanishing extended

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Abstract

The notion of DB index, a measure of how far a singularity of a pair is frombeingDu Bois, is introduced and used to generalize vanishing theorems of [Ste85], [GKKP11], and [Kov11] with simpler and more natural proofs than the originals. An argument used in one of these proofs also yields an additional theorem connecting various push forwards that lie outside of the range of the validity of the above vanishing theorems.

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, Box 354350, Seattle, WA, 98195-4350, USA

    Sándor J. Kovács

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  1. Sándor J. Kovács
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Correspondence to Sándor J. Kovács.

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Dedicated to Steven Kleiman on the occasion of his 70th birthday.

Supported in part by NSF Grants DMS-0856185, DMS-1301888, and the Craig McKibben and SarahMerner Endowed Professorship in Mathematics at the University ofWashington.

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Kovács, S.J. Steenbrink vanishing extended. Bull Braz Math Soc, New Series 45, 753–765 (2014). https://doi.org/10.1007/s00574-014-0073-7

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  • DOI: https://doi.org/10.1007/s00574-014-0073-7

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