One of the obstacles in the definition of the singular support of a constructible sheaf in mixed characteristic is the absence of the cotangent bundle. We define a ‘Frobenius pull-back’ of the cotangent bundle restricted on the closed fiber of a flat regular scheme over a discrete valuation ring of mixed characteristic by using the sheaf of Frobenius-Witt differentials. We give some examples of constructible sheaves whose singular supports exist.
By Kęstutis Česnavičius
By Takeshi Saito
By Miaofen Chen
By Viviane Pons
By Viviane Pons
By Wenjie Fang
By Christoph Koutschan
By Viviane Pons
By Viviane Pons
By Olivier Benoist
