English

Poincar\'e Duality in abstract 6-functor formalisms

Algebraic Geometry 2026-03-17 v3

Abstract

We study Poincar\'e Duality in the context of abstract 6-functor formalisms. In particular, we give a small and simple list of assumptions that implies Poincar\'e Duality. As an application, we give new uniform (and essentially formal) proofs of some previously established Poincar\'e Duality results.

Keywords

Cite

@article{arxiv.2301.03821,
  title  = {Poincar\'e Duality in abstract 6-functor formalisms},
  author = {Bogdan Zavyalov},
  journal= {arXiv preprint arXiv:2301.03821},
  year   = {2026}
}

Comments

Minor changes. Comments are very welcome!

R2 v1 2026-06-28T08:08:18.151Z