Given an arrangement of subtori of arbitrary codimension in a complex torus, we compute the cohomology groups of the complement. Then, by using the Leray spectral sequence, we describe the multiplicative structure on the associated graded cohomology. We also provide a differential model for the cohomology ring, by considering a toric wonderful model and its Morgan algebra. Finally, we focus on the divisorial case, proving a new presentation for the cohomology of toric arrangements.
Moci L., Pagaria R. (2022). On the cohomology of arrangements of subtori. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 106(3), 1999-2029 [10.1112/jlms.12616].
On the cohomology of arrangements of subtori
Moci L.;Pagaria R.
2022
Abstract
Given an arrangement of subtori of arbitrary codimension in a complex torus, we compute the cohomology groups of the complement. Then, by using the Leray spectral sequence, we describe the multiplicative structure on the associated graded cohomology. We also provide a differential model for the cohomology ring, by considering a toric wonderful model and its Morgan algebra. Finally, we focus on the divisorial case, proving a new presentation for the cohomology of toric arrangements.| File | Dimensione | Formato | |
|---|---|---|---|
|
Journal of London Math Soc - 2022 - Moci - On the cohomology of arrangements of subtori.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
295.99 kB
Formato
Adobe PDF
|
295.99 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
