Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-50940
Ayoub, J (2011). The n-motivic t-structures for n=0,1 and 2. Advances in Mathematics, 226(1):111-138.
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For a field k and an integer n∈, we construct a t-structure View the MathML source on Voevodsky's triangulated category of motives DMeff(k), which we call the n-motivic t-structure. When n=0, this is simply the usual homotopy t-structure, but for n∈, these are new t-structures. We will show that the category of Deligne's 1-motives can be embedded as a full subcategory in the heart of the 1-motivic t-structure. By a rather straightforward analogy, we are led to specify a class of objects in the heart of the 2-motivic t-structure which we call mixed 2-motives. We will also check that these objects form an Abelian category.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Date:||15 January 2011|
|Deposited On:||14 Nov 2011 15:26|
|Last Modified:||16 Dec 2013 11:44|
|Funders:||Swiss National Science Foundation (NSF), Grant No. 2000201-124737/1|
|Citations:||Web of Science®. Times Cited: 1|
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