Orbit-cone correspondence for the proalgebraic completion of normal toric varieties

Genaro Hernandez-Mada and Humberto Abraham Martinez-Gil

Address: Departamento de Matemáticas, Universidad de Sonora, Blvd. Luis Encinas S/N, Hermosillo, Mexico, C.P. 83000

E-mail: genaro.hernandez@unison.mx     humberto.martinezguni@gmail.com

Abstract: We prove that there is an orbit-cone correspondence for the proalgebraic completion of normal toric varieties, which is analogous to the classical orbit-cone correspondence for toric varieties.

AMSclassification: primary 14M25; secondary 13B35, 57R30, 11R56.

Keywords: toric varieties, orbit-cone correspondence, proalgebraic completion, algebraic solenoid.

DOI: 10.5817/AM2025-1-1