Some properties and applications of Brieskorn lattices

Journal of Singularities
volume 18 (2018), 238-247

Received: 31 December 2017. Accepted: 27 April 2018.

DOI: 10.5427/jsing.2018.18k

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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

Mathematical Subject Classification:

14F40, 32S35, 32S40

Author(s) information:

Claude Sabbah
CMLS, École polytechnique, CNRS
Université Paris-Saclay
F-91128 Palaiseau cedex, France
email: Claude.Sabbah@polytechnique.edu