# Motivic Realizations of Singularity Categories and Vanishing Cycles

16 Apr 2020 Blanc A. Robalo M. Töen B. Vezzosi G.

In this paper we establish a precise comparison between vanishing cycles and the singularity category of Landau-Ginzburg models over a complete discrete valuation ring. By using noncommutative motives, we first construct a motivic $\ell$-adic realization functor for dg-categories... (read more)

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• ALGEBRAIC GEOMETRY
• K-THEORY AND HOMOLOGY