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Stabilization of monomial maps

Mattias Jonsson ; Elizabeth Wulcan (Institutionen för matematiska vetenskaper, matematik)
Michigan Mathematical Journal (0026-2285). Vol. 60 (2011), 3, p. 629-660.
[Artikel, refereegranskad vetenskaplig]

A monomial (i.e. equivariant) selfmap of a toric variety is called stable if its action on the Picard group commutes with iteration. Generalizing work of Favre to higher dimensions, we show that under suitable conditions, a monomial map can be made stable by refining the underlying fan. In general, the resulting toric variety has quotient singularities; in dimension two we give criteria for when it can be chosen smooth, as well as examples when it cannot.



Denna post skapades 2011-12-20. Senast ändrad 2016-04-28.
CPL Pubid: 150610

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur