<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this note we clarify some subtle points on the limit mixed Hodge structures and on the spectrum. These are more or less well-known to the specialists, but do not seem to be stated explicitly in the literature. However, as they do not seem to be obvious to the beginners, we consider them to be worth writing down explicitly. The general constructions are exemplified by considering the isolated (weighted) homogeneous singularities in detail.</p></abstract>

In this note we clarify some subtle points on the limit mixed Hodge structures and on the spectrum. These are more or less well-known to the specialists, but do not seem to be stated explicitly in the literature. However, as they do not seem to be obvious to the beginners, we consider them to be worth writing down explicitly. The general constructions are exemplified by considering the isolated (weighted) homogeneous singularities in detail.

Some remarks on limit mixed Hodge structures and spectrum

Institut Universitaire de France et Laboratoire J.A. Dieudonné, UMR du CNRS 7351 Université de Nice-Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 02, France

RIMS Kyoto University, Kyoto 606-8502, Japan

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Some remarks on limit mixed Hodge structures and spectrum"}

In this note we clarify some subtle points on the limit mixed Hodge structures and on the spectrum. These are more or less well-known to the specialists, but...

Some remarks on limit mixed Hodge structures and spectrum

Published Online: Oct 20, 2015

Page range: 69 - 78

Received: Oct 16, 2012

Accepted: Nov 05, 2012

DOI: https://doi.org/10.2478/auom-2014-0032

Keywords
limit mixed Hodge structure, monodromy, Milnor fiber, spectrum

© 2014 Alexandru Dimca et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Some remarks on limit mixed Hodge structures and spectrum

Published Online: Oct 20, 2015

Page range: 69 - 78

Received: Oct 16, 2012

Accepted: Nov 05, 2012

DOI: https://doi.org/10.2478/auom-2014-0032

Keywordslimit mixed Hodge structure, monodromy, Milnor fiber, spectrum

© 2014 Alexandru Dimca et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
limit mixed Hodge structure, monodromy, Milnor fiber, spectrum