English

Variation of Mixed Hodge Structure and Primitive elements

Algebraic Geometry 2015-08-04 v9

Abstract

We study the asymptotic behaviour of polarization form in the variation of mixed Hodge structure associated to isolated hypersurface singularities. The contribution characterizes a modification of Grothendieck residue as the polarization on the extended fiber in this case. We also provide a discussion on primitive elements to explain conjugation operator in these variations, already existed in the literature.

Keywords

Cite

@article{arxiv.1403.5110,
  title  = {Variation of Mixed Hodge Structure and Primitive elements},
  author = {Mohammad Reza Rahmati},
  journal= {arXiv preprint arXiv:1403.5110},
  year   = {2015}
}

Comments

This article is a brief of my other article On the mixed Hodge structure associated to isolated hypersurface singularities. Its removal is for its content already existed in the aforementioned paper, with more details

R2 v1 2026-06-22T03:30:42.774Z