Moving Lemma for Additive Chow Groups and Applications

Moving lemma for additivehigher Chow groups

5 Chow ’ S Moving Lemma and the Homotopy Coniveau Tower

We show how the classical moving lemma of Chow extends to give functoriality for the specta arising in the homotopy coniveau tower.

Moving Algebraic Cycles of Bounded Degree

The Chow Moving Lemma is a theorem which asserts that a given algebraic s-cycle on a smooth algebraic variety X can be moved within its rational equivalence class to intersect properly a given r-cycle on X provided that r + s ≥ dim(X) (cf. [Chow], [S2]). In the past few years, there has been considerable interest in studying spaces of algebraic cycles rather than simply cycles modulo an equival...

A Szemerédi-type regularity lemma in abelian groups

Szemerédi’s regularity lemma is an important tool in graph theory which has applications throughout combinatorics. In this paper we prove an analogue of Szemerédi’s regularity lemma in the context of abelian groups and use it to derive some results in additive number theory. The simplest is a structure theorm for sets which are almost sum-free. If A ⊆ {1, . . . , N} has δN2 triples (a1, a2, a3)...

Algebraic Cycles and Additive Chow Groups

A report on recent results and outstanding problems concerning additive chow groups. “Mighty oaks from little acorns grow.”