搜索结果: 1-9 共查到“数学 Motives”相关记录9条 . 查询时间(0.135 秒)
For each ˉeld k, we deˉne a category of rationally decomposed mixed
motives with Z-coe±cients. When k is ˉnite, we show that the category is Tannakian, and we prove formulas relating the behaviour of...
We show that a certain class of varieties with origin in Physics,
generates (additively) the Denef-Loeser ring of Motives. In particular, this
disproves a conjecture of Kontsevich on the number of p...
This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
On the Mumford-Tate conjecture for 1-motives
Mumford-Tate conjecture Number Theory Algebraic Geometry
2011/9/21
Abstract: We show that the statement analogous to the Mumford-Tate conjecture for abelian varieties holds for 1-motives on unipotent parts. This is done by comparing the unipotent part of the associat...
Cusp form motives in the cohomology of the space of stable maps to BG
motives cohomology of the space stable maps
2011/1/19
The moduli space M1,n(B(Z/mZ)2) of twisted stable maps into the stack B(Z/mZ)2 carries a natural Sn-action and so its cohomology may be decomposed into irreducible Sn-representations.
Feynman integrals and motives of configuration spaces
Feynman integrals motives of configuration spaces
2011/2/28
We formulate the problem of renormalization of Feynman integrals and its relation to periods of motives in configuration space instead of momentum space.
Weights and t-structures: in general, for 1-motives, mixed motives, and for mixed Hodge complexes and modules
Weights and t-structures 1-motives mixed Hodge complexes and modules
2010/11/22
We study certain 'weights' for triangulated categories endowed with $t$-structures. Our results axiomatize and describe in detail the relations between the Chow weight structure (introduced in a prec...
Transcendence degree of zero-cycles and the structure of Chow motives
algebraic cycles rational equivalence motives balanced corre-spondence
2010/12/1
In the paper we introduce a transcendence degree of a zero-cycle on a smooth projective variety X and relate it to the structure of the motive of X.
We consider the category of Deligne 1-motives over a perfect field k of exponential characteristic p and its derived category for a suitable exact structure after inverting p.