Cohomology rings of compactifications of toric arrangements

De Concini, Corrado; Gaiffi, Giovanni

doi:10.2140/agt.2019.19.503

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Cohomology rings of compactifications of toric arrangements

Corrado De Concini and Giovanni Gaiffi

Algebraic & Geometric Topology 19 (2019) 503–532

DOI: 10.2140/agt.2019.19.503

Abstract

We previously (Adv. Math. 327 (2018) 390–409) constructed some projective wonderful models for the complement of a toric arrangement in an $n$ –dimensional algebraic torus $T$ . In this paper we describe their integer cohomology rings by generators and relations.

Keywords

toric arrangements, compact models, configuration spaces

Mathematical Subject Classification 2010

Primary: 14N20

References

Publication

Received: 25 May 2018

Revised: 14 August 2018

Accepted: 11 September 2018

Published: 6 February 2019

Authors

Corrado De Concini
Dipartimento di Matematica Università di Roma Rome Italy

Giovanni Gaiffi
Dipartimento di Matematica Università di Pisa Pisa Italy

Volume 19, issue 1 (2019)