On the effectivity of spectra representing motivic cohomology theories
arXiv:1710.00594
Abstract
Let k be an infinite perfect field. We provide a general criterion for a spectrum in the stable homotopy category over k to be effective, i.e. to be in the localizing subcategory generated by the suspension spectra of smooth schemes. As a consequence, we show that two recent versions of generalized motivic cohomology theories coincide.
arXiv comment12 pages. Slightly simplified proof. Comments still welcome!
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Cited by in corpus (8)
- Modules over algebraic cobordism
- A^1-Euler classes: six functors formalisms, dualities, integrality and linear subspaces of complete intersections
- On the rational motivic homotopy category
- Strictly homotopy invariance of Nisnevich sheaves with GW-transfers
- Framed transfers and motivic fundamental classes
- Motivic Tambara Functors
- The unit map of the algebraic special linear cobordism spectrum
- Effective Grothendieck-Witt motives of smooth varieties