La réalisation étale et les opérations de Grothendieck, by Joseph Ayoub

In this article, we construct étale realization functors defined on étale motives (without transfers) over a scheme X. Our construction is natural and relies on a relative rigidity theorem à la Suslin-Voevodsky that we will establish first. Then, we show that these realization functors are compatible with Grothendieck operations and the "nearby cycles" functors. Along the way, we will prove a number of properties concerning étale motives.

• 0989.bib (247 bytes)
• Realisation-Etale.dvi (1492624 bytes) [January 9, 2011]
• Realisation-Etale.dvi.gz (371332 bytes)
• Realisation-Etale.pdf (1469490 bytes) [January 10, 2011]
• Realisation-Etale.ps.gz (605042 bytes)

Joseph Ayoub <joseph.ayoub@math.uzh.ch>