English

On weight truncations in the motivic setting

Algebraic Geometry 2018-08-30 v2

Abstract

Using punctual gluing of tt-structures, we construct an analogue of S. Morel's weight truncation functors (for certain weight profiles) in the setting of motivic sheaves. As an application we construct a canonical motivic analogue of the intersection complex for an arbitrary threefold over any field kk. We are also able to recover certain invariants of singularities motivically.

Keywords

Cite

@article{arxiv.1705.00789,
  title  = {On weight truncations in the motivic setting},
  author = {Vaibhav Vaish},
  journal= {arXiv preprint arXiv:1705.00789},
  year   = {2018}
}

Comments

Consolidated section 2.3, is now much shorter. Expanded section 4.1 with more details, in particular 4.1.4-4.1.9. Other minor corrections