JournalsrlmVol. 32, No. 1pp. 1–21

A differential algebra and the homotopy type of the complement of a toric arrangement

  • Corrado De Concini

    Università di Roma La Sapienza, Italy
  • Giovanni Gaiffi

    Università di Pisa, Italy
A differential algebra and the homotopy type of the complement of a toric arrangement cover
Download PDF

A subscription is required to access this article.

Abstract

We show that the rational homotopy type of the complement of a toric arrangement is completely determined by two sets of discrete data. This is obtained by introducing a differential graded algebra over Q whose minimal model is equivalent to the Sullivan minimal model of A\mathcal A.

Cite this article

Corrado De Concini, Giovanni Gaiffi, A differential algebra and the homotopy type of the complement of a toric arrangement. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 1, pp. 1–21

DOI 10.4171/RLM/924