Weakly proper toric quotients

• Autorzy: Annette A'Campo-Neuen
• Języki publikacji: EN

Abstrakty

EN

We consider subtorus actions on complex toric varieties. A natural candidate for a categorical quotient of such an action is the so-called toric quotient, a universal object constructed in the toric category. We prove that if the toric quotient is weakly proper and if in addition the quotient variety is of expected dimension then the toric quotient is a categorical quotient in the category of algebraic varieties. For example, weak properness always holds for the toric quotient of a subtorus action on a toric variety whose fan has a convex support.

Kategorie tematyczne

• 14L30: Group actions on varieties or schemes (quotients)
• 14M25: Toric varieties, Newton polyhedra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 2
• Strony: 155-180

Daty

wydano

2005

Twórcy

autor

Annette A'Campo-Neuen

• Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland

Identyfikatory

DOI

10.4064/cm102-2-1