Some properties and applications of Brieskorn lattices

Claude Sabbah

doi:10.5427/jsing.2018.18k

Some properties and applications of Brieskorn lattices

Claude Sabbah

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

7 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	238-247
Nombre de pages	10
journal	Journal of Singularities
Volume	18
Les DOIs	https://doi.org/10.5427/jsing.2018.18k
état	Publié - 1 janv. 2018

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10.5427/jsing.2018.18k

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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

U2 - 10.5427/jsing.2018.18k

DO - 10.5427/jsing.2018.18k

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SN - 1949-2006

VL - 18

SP - 238

EP - 247

JO - Journal of Singularities

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ER -

Some properties and applications of Brieskorn lattices

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