Motivic Intersection Complex of Certain Shimura varieties
Algebraic Geometry
2018-01-30 v1
Abstract
Using a version of weight conservativity we demonstrate that for certain Shimura varieties (including all Shimura three-folds, most Shimura four-folds and the Siegel sixfold) the construction of the motivic intersection complex due to Wildeshaus compares with a motivic weight truncation in the sense of S. Morel. In particular it is defined up to a unique isomorphism, and satisfies the intrinsic characterization for an intermediate extension due to Wildeshaus.
Keywords
Cite
@article{arxiv.1801.09243,
title = {Motivic Intersection Complex of Certain Shimura varieties},
author = {Vaibhav Vaish},
journal= {arXiv preprint arXiv:1801.09243},
year = {2018}
}