Suslin's Cancellation Conjecture in the Smooth Case

by Mr S Sandeep (TIFR, Mumbai)

Tuesday 29 Nov 2022, 16:00 → 17:00 Asia/Kolkata

AG-77

Abstract: For a smooth affine algebra of dimension $d$ over an algebraically closed field $k$ with $d!\in k^{\times}$, it is known that stably isomorphic projective modules of rank at least $d$ are isomorphic. Also, this is known not to be true in general when the modules have rank less than $d-1$. In this paper (https://arxiv.org/abs/2111.13088) by Fasel, the above is extended to modules of rank $d-1$ using the \mathbb{A}^1-$homotopy theory.