Endomotives of toric varieties

JOURNAL OF GEOMETRY AND PHYSICS

卷:77

Article

Jin, Zhaorong¹  Marcolli, Matilde¹ 

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

关键词: Noncommutative geometry;    Endomotives;    Quantum statistical mechanical systems;    Toric varieties;    Height functions;   

DOI  :  10.1016/j.geomphys.2013.12.006

来源: Elsevier

【 摘 要 】

We construct endomotives associated to toric varieties, in terms of the decomposition of a toric variety into torus orbits and the action of a semigroup of toric morphisms. We show that the endomotives can be endowed with time evolutions and we discuss the resulting quantum statistical mechanical systems. We show that in particular, one can construct a time evolution related to the logarithmic height function. We discuss relations to F-1-geometry. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free