English

Mixed Hodge structures and formality

Algebraic Topology 2017-03-27 v4 Algebraic Geometry

Abstract

We prove a formality theorem for algebraic objects internal to smooth complex varieties that are not compact but whose mixed Hodge structure has a certain purity property.

Keywords

Cite

@article{arxiv.1610.03267,
  title  = {Mixed Hodge structures and formality},
  author = {Geoffroy Horel},
  journal= {arXiv preprint arXiv:1610.03267},
  year   = {2017}
}

Comments

This paper has been withdrawn by the author because a more general result is proven in the paper : Mixed Hodge structures and formality of symmetric monoidal functors (arXiv:1703.06816) by Joana Cirici and Geoffroy Horel

R2 v1 2026-06-22T16:17:28.800Z