Some properties and applications of Brieskorn lattices

Claude Sabbah

doi:10.5427/jsing.2018.18k

Some properties and applications of Brieskorn lattices

Research output: Contribution to journal › Article › peer-review

Abstract

After reviewing the main properties of the Brieskorn lattice in the framework of tame regular functions on smooth affine complex varieties, we prove a conjecture of Katzarkov-Kontsevich-Pantev in the toric case.

Original language	English
Pages (from-to)	238-247
Number of pages	10
Journal	Journal of Singularities
Volume	18
DOIs	https://doi.org/10.5427/jsing.2018.18k
Publication status	Published - 1 Jan 2018

Keywords

Brieskorn lattice
Irregular hodge filtration
Irregular hodge numbers
Tame function

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title = "Some properties and applications of Brieskorn lattices",

abstract = "After reviewing the main properties of the Brieskorn lattice in the framework of tame regular functions on smooth affine complex varieties, we prove a conjecture of Katzarkov-Kontsevich-Pantev in the toric case.",

keywords = "Brieskorn lattice, Irregular hodge filtration, Irregular hodge numbers, Tame function",

author = "Claude Sabbah",

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AB - After reviewing the main properties of the Brieskorn lattice in the framework of tame regular functions on smooth affine complex varieties, we prove a conjecture of Katzarkov-Kontsevich-Pantev in the toric case.

KW - Brieskorn lattice

KW - Irregular hodge filtration

KW - Irregular hodge numbers

KW - Tame function

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DO - 10.5427/jsing.2018.18k

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VL - 18

SP - 238

EP - 247

JO - Journal of Singularities

JF - Journal of Singularities

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Some properties and applications of Brieskorn lattices

Abstract

Keywords

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