In this paper we build an Orlik–Solomon model for the canonical gradation of the cohomology algebra with integer coecients of the complement of a toric arrangement. We give some results on the uniqueness of the representation of arithmetic matroids, in order to discuss how the Orlik–Solomon model depends on the poset of layers. The analysis of discriminantal toric arrangements permits us to isolate certain conditions under which two toric arrangements have di¤eomorphic complements. We also give combinatorial conditions determining whether the cohomology algebra is generated in degree one.

Pagaria R. (2019). Combinatorics of toric arrangements. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 30(2), 317-349 [10.4171/RLM/849].

Combinatorics of toric arrangements

Pagaria R.
2019

Abstract

In this paper we build an Orlik–Solomon model for the canonical gradation of the cohomology algebra with integer coecients of the complement of a toric arrangement. We give some results on the uniqueness of the representation of arithmetic matroids, in order to discuss how the Orlik–Solomon model depends on the poset of layers. The analysis of discriminantal toric arrangements permits us to isolate certain conditions under which two toric arrangements have di¤eomorphic complements. We also give combinatorial conditions determining whether the cohomology algebra is generated in degree one.
2019
Pagaria R. (2019). Combinatorics of toric arrangements. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 30(2), 317-349 [10.4171/RLM/849].
Pagaria R.
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/709629
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 7
social impact