#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday (2015), 145-194

** Denis-Charles Cisinski, Frédéric Déglise **
Integral Mixed Motives in Equal Characteristic

For noetherian schemes of finite dimension over a field of characteristic
exponent $p$, we study the triangulated categories of $\ZZ[1/p]$-linear
mixed motives obtained from $\cdh$-sheaves with transfers. We prove that
these have many of the expected properties. In particular, the formalism
of the six operations holds in this context. When we restrict ourselves
to regular schemes, we also prove that these categories of motives are
equivalent to the more classical triangulated categories of mixed motives
constructed in terms of Nisnevich sheaves with transfers. Such a program
is achieved by comparing these various triangulated categories of motives
with modules over motivic Eilenberg-MacLane spectra.

2010 Mathematics Subject Classification: 14F42, (14C15, 14C25, 14F43)

Keywords and Phrases: integral mixed motives, 6 functors formalism, modules over ring spectra,
finite correspondences, integral motivic cohomology, higher Chow groups

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