[图书][B] Many variations of Mahler measures: a lasting symphony
F Brunault, W Zudilin - 2020 - books.google.com
The Mahler measure is a fascinating notion and an exciting topic in contemporary
mathematics, interconnecting with subjects as diverse as number theory, analysis, arithmetic …
mathematics, interconnecting with subjects as diverse as number theory, analysis, arithmetic …
Local and stable homological algebra in Grothendieck abelian categories
DC Cisinski, F Déglise - 2009 - projecteuclid.org
We define model category structures on the category of chain complexes over a
Grothendieck abelian category depending on the choice of a generating family, and we …
Grothendieck abelian category depending on the choice of a generating family, and we …
[图书][B] On the derived category of 1-motives
L Barbieri-Viale, B Kahn, B Kahn - 2016 - imj-prg.fr
We embed the derived category of Deligne 1-motives over a perfect field into the étale
version of Voevodsky's triangulated category of geometric motives, after inverting the …
version of Voevodsky's triangulated category of geometric motives, after inverting the …
Borel–Moore motivic homology and weight structure on mixed motives
J Fangzhou - Mathematische Zeitschrift, 2016 - Springer
By defining and studying functorial properties of the Borel–Moore motivic homology, we
identify the heart of Bondarko–Hébert's weight structure on Beilinson motives with Corti …
identify the heart of Bondarko–Hébert's weight structure on Beilinson motives with Corti …
[HTML][HTML] Künneth formulas for motives and additivity of traces
We prove several Künneth formulas in motivic homotopy categories and deduce a Verdier
pairing in these categories following SGA5, which leads to the characteristic class of a …
pairing in these categories following SGA5, which leads to the characteristic class of a …
Smooth motives
M Levine - Motives and algebraic cycles, 2009 - books.google.com
Following ideas of Bondarko [4], we construct a DG category whose homotopy category is
equivalent to the full subcategory of motives over a base-scheme S generated by the …
equivalent to the full subcategory of motives over a base-scheme S generated by the …
On the derived category of 1-motives
L Barbieri-Viale, B Kahn - arXiv preprint arXiv:1009.1900, 2010 - arxiv.org
This is the final version of the 2007 preprint titled" On the derived category of 1-motives, I". It
has been substantially expanded to contain a motivic proof of (two thirds of) Deligne's …
has been substantially expanded to contain a motivic proof of (two thirds of) Deligne's …
Op\'erations de Steenrod motiviques
J Riou - arXiv preprint arXiv:1207.3121, 2012 - arxiv.org
This article fills some gaps in Voevodsky's construction of the Steenrod operations acting on
the motivic cohomology with coefficients in Z/lZ of motivic spaces in the sense of Morel and …
the motivic cohomology with coefficients in Z/lZ of motivic spaces in the sense of Morel and …
Motivic strict ring models for 𝐾-theory
O Röndigs, M Spitzweck, P Østvær - Proceedings of the American …, 2010 - ams.org
It is shown that the $ K $-theory of every noetherian base scheme of finite Krull dimension is
represented by a commutative strict ring object in the setting of motivic stable homotopy …
represented by a commutative strict ring object in the setting of motivic stable homotopy …