Suslin’s moving lemma with modulus

Dyson’s lemma with moving parts

In its original form [D], Dyson’s Lemma bounds the order of vanishing of a polynomial in two variables at a finite set of points and was used in studying rational approximations to a fixed algebraic irrational number. Bombieri [B] revived interest in Dyson’s Lemma and subsequently Esnault and Viehweg [EV] and Vojta [V1] vastly extended the scope of the result, to polynomials in several variable...

Calculating the Maximum Modulus of a Polynomial Using Stečkin’s Lemma

An algorithm for the calculation of the maximum modulus of a complex polynomial on the unit disc is described and evaluated. The algorithm is based on a lemma of Stečkin.

Moving lemma for additivehigher Chow groups

Moving Lemma for Additive Chow Groups and Applications

We study additive higher Chow groups with several modulus conditions. Apart from exhibiting the validity of all known results for the additive Chow groups with these modulus conditions, we prove the moving lemma for them: for a smooth projective variety X and a finite collection W of its locally closed algebraic subsets, every additive higher Chow cycle is congruent to an admissible cycle inter...

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.