Toric P-Difference Varieties
副标题：
时间：2018-03-23 来源：数学机械化重点实验室
题目： Toric P-Difference Varieties
报告人： 王杰(北京大学)
时间地点： 2018.03.27 15:30pm S309
摘要： Toric P-difference varieties are analogues of toric varieties in difference algebra geometry. Basis properties of toric P-difference varieties are studied and the category of affine toric P-difference varieties with toric morphisms is shown to be antiequivalent to the category of affine $P[x]$-semimodules with $P[x]$-semimodule morphisms. We also define abstract toric P-difference varieties by gluing affine toric P-difference varieties. The irreducible invariant P-difference subvarieties-faces correspondence is generalized to abstract toric P-difference varieties. By virtue of this correspondence, a divisor theory for abstract toric P-difference varieties is developed.
