We prove a conjecture of A. Goncharov concerning strong Suslin reciprocity law. The main idea the proof is construction norm map on so-called lifted maps. This similar to Milnor K K ...

Let X be a connected smooth projective complex surface. J. Murre [7] constructed a decomposition of Chow motives for X , i.e. there exist mutually orthogonal idempotents πi ∈ CH (X × X)Q as correspondences for 0 ≤ i ≤ 4 such that ∑ i πi is equal to the diagonal and the action of πi on H (X,Q) is the identity for i = j, and vanishes otherwise. The decomposition is not uniquely characterized by t...

Khatib, R., McKee, M., Shannon, H., Chow, C., Rangarajan, S., Teo, K., Wei, L., Mony, P., Mohan, V., Gupta, R., et al (2016). Availability and affordability of cardiovascular disease medicines and their effect on use in high-income, middleincome, and low-income countries: an analysis of the PURE study data. The Lancet, 387(10013), 61-69. ...

In the paper, we study the GIT construction of the moduli space of Chow semistable curves of genus 4 in P3. By using the GIT method developed by Mumford and a deformation theoretic argument, we give a modular description of this moduli space. We classify Chow stable or Chow semistable curves when they are irreducible or nonreduced. Then we work out the case when a curve has two components. Our ...

We apply the classical technique on cyclic objects of Alain Connes to various objects, in particular to the higher Chow complex of S. Bloch to prove a Connes periodicity long exact sequence involving motivic cohomology groups. The Cyclic higher Chow groups and the Connes higher Chow groups of a variety are defined in the process and various properties of them are deduced from the known properti...

Over a field of characteristic zero, we introduce two motivic operations on additive higher Chow cycles: analogues of the Connes boundary B operator and the shuffle product on Hochschild complexes. The former allows us to apply the formalism of mixed complexes to additive Chow complexes building a bridge between additive higher Chow theory and additive K-theory. The latter induces a wedge produ...

Abstract Let Y be a smooth complete intersection of quadric and cubic in ℙ n {\mathbb{P}^{n}} , with n even. We show that has multiplicative Chow–Künneth decomposition, the sense Shen–Vial. As consequence, Chow ring (powers of) displays K3-like behavior. by-product argument, we also esta...

The cosimplicial scheme ∆• = ∆ →∆1 → → → . . . ; ∆ n := Spec ( k[t0, . . . , tn]/( ∑ ti − t) ) was used in[3] to define higher Chow groups. In this note, we let t tend to 0 and replace ∆• by a degenerate version Q• = Q →Q1 → → → . . . ; Q n := Spec ( k[t0, . . . , tn]/( ∑ ti) ) to define an additive version of the higher Chow groups. For a field k, we show the Chow group of 0-cycles on Q in thi...

INTRODUCTION Conflicting data exist on sensitivity changes of the melanocortin system during diet-induced obesity. We hypothesized that melanocortin sensitivity depends on diet composition, in particular on the fat content rather than the level of obesity. The aim of this study was to determine the influence of diet composition on feeding responses to a melanocortin receptor agonist, using free...