We use the crystalline nature of the universal extension of a 1-motive to define a canonical Gauss\u2013Manin connection on the de Rham realization of . As an application we provide a construction of the so-called Manin map from a motivic point of view
Feynman integrals are the building blocks of scattering amplitudes in quantum field theory, and are ...
This thesis develops a method (dimensional reduction) to compute motivic Donaldson--Thomas invariant...
AbstractThe generalized Grothendieck's conjecture of periods (CPG)K predicts that if M is a 1-motive...
AbstractWe use the crystalline nature of the universal extension of a 1-motive M to define a canonic...
We studied the crystalline nature of the universal extension of a 1-motive, over a general basis, in...
Following we explain how 1-motives originate via the simplicial Picard functorof varieties defined o...
We consider the crystalline realization of Deligne's 1-motives in positive characteristics and prove...
We introduce the sharp (universal) extension of a 1-motive (with additive factors and torsion) over ...
Let M be a 1-motive over a base scheme S and M' its Cartier dual. We show the existence of a canonic...
AbstractWe introduce the sharp (universal) extension of a 1-motive (with additive factors and torsio...
In ordinary Hodge theory for a compact kahler manifold, one can look at the Gauss-Manin connection a...
We associate to any convenient nondegenerate Laurent polynomial f on the complex torus (C # ) a c...
We generalize the motivic incarnation morphism from the theory of arithmetic integration to the rela...
The generalized Grothendieck's conjecture of periods (CPG)K predicts that if M is a 1-motive defined...
We embed the derived category of Deligne 1-motives over a perfect field into the \ue9tale version of...
Feynman integrals are the building blocks of scattering amplitudes in quantum field theory, and are ...
This thesis develops a method (dimensional reduction) to compute motivic Donaldson--Thomas invariant...
AbstractThe generalized Grothendieck's conjecture of periods (CPG)K predicts that if M is a 1-motive...
AbstractWe use the crystalline nature of the universal extension of a 1-motive M to define a canonic...
We studied the crystalline nature of the universal extension of a 1-motive, over a general basis, in...
Following we explain how 1-motives originate via the simplicial Picard functorof varieties defined o...
We consider the crystalline realization of Deligne's 1-motives in positive characteristics and prove...
We introduce the sharp (universal) extension of a 1-motive (with additive factors and torsion) over ...
Let M be a 1-motive over a base scheme S and M' its Cartier dual. We show the existence of a canonic...
AbstractWe introduce the sharp (universal) extension of a 1-motive (with additive factors and torsio...
In ordinary Hodge theory for a compact kahler manifold, one can look at the Gauss-Manin connection a...
We associate to any convenient nondegenerate Laurent polynomial f on the complex torus (C # ) a c...
We generalize the motivic incarnation morphism from the theory of arithmetic integration to the rela...
The generalized Grothendieck's conjecture of periods (CPG)K predicts that if M is a 1-motive defined...
We embed the derived category of Deligne 1-motives over a perfect field into the \ue9tale version of...
Feynman integrals are the building blocks of scattering amplitudes in quantum field theory, and are ...
This thesis develops a method (dimensional reduction) to compute motivic Donaldson--Thomas invariant...
AbstractThe generalized Grothendieck's conjecture of periods (CPG)K predicts that if M is a 1-motive...
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