55 citations · 72 across the 20 of their papers we have counts for
21 papers
Real Regulators for Products of Elliptic Curves
Xi Chen, James D. Lewis
Assuming the Kunneth decomposition of the Chow groups of products of general Kummer surfaces, we prove that the Hodge--conjecture fails for the real regulator $r_{k,1…
The Hodge-D-Conjecture fora Product of Elliptic Curves
Alexandru Ghitza, James D. Lewis, Karim Mansour +1
Let be a general product of elliptic curves. Our goal is to establish the Hodge-D-conjecture for . We accomplish this when . For , we reduce…
Limit Behavior of the Rational Powers of Monomial Ideals
Emmy Lewis
We investigate the rational powers of ideals. We find that in the case of monomial ideals, the canonical indexing leads to a characterization of the rational powers yielding that s…
Push-forwards of Chow groups of smooth ample divisors
Kalyan Banerjee, Jaya NN Iyer, James D. Lewis
We introduce a homological Lefschetz conjecture on (rational) Chow groups, which can be deduced from some well known conjectures, and illustrate it by a series of key examples. We…
Rationally Equivalent Points On Hypersurfaces In
Xi Chen, James D. Lewis, Mao Sheng
We prove a conjecture of Voisin that no two distinct points on a very general hypersurface of degree in are rationally equivalent.
Specialization of cycles and the K-theory elevator
Pedro Luis del Angel, Charles Doran, Jaya Iyer +4
A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to stud…