Cancellation theorem

By Vladimir Voevodsky. 2002

128 citations recorded by the source corpus.

In this paper we give a direct geometric proof of the fact that tensoring with the Tate motive in the triangulated category of effective motives DM is a full embedding. The main part of the proof is given in the context of schemes of finite type over a noetherian base scheme.

View Paper: https://www.semanticscholar.org/paper/a0dc96b1e682a362f924d481beacce42253ddc07

How researchers see this paper

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1. Charles A. Weibel
2. M. Levine
3. G. Garkusha
4. Ivan Panin
5. J. Ayoub
6. C. Mazza
7. O. Rondigs
8. Tom Bachmann

Citations in the corpus

• Lecture Notes On Motivic Cohomology (2006, methodology): “25 of [Voe02] and the Gersten resolution 24.”
• A comparison of motivic and classical stable homotopy theories (2011, background): “One has the Spanier– Whitehead category of geometric motives DM gm(k)[−⊗ Z(1)−1] =: DMgm(k); by Voevodsky’s cancellation theorem [40], the functors in the diagram of triangulated tensor categories”
• La réalisation étale et les opérations de Grothendieck (2014, background): “En utilisant le « cancellation theorem » de Voevodsky [50] et le calcul de la cohomologie motivique en poids un [30, Th.”
• Framed motives of algebraic varieties (after V. Voevodsky) (2014, methodology): “The previous theorem is an analog of Voevodsky’s Cancellati on Theorem [25].”