Izvestiya Mathematics Template

E M Matveev · 31 Dec 2000

E M Matveev · 31 Aug 1998

In this paper we study linear forms with rational integer coefficients (, ), where the are algebraic numbers satisfying the so-called strong independence condition. In standard notation, we prove an explicit estimate of the form

Dmitri Olegovich Orlov · 28 Feb 1993

This paper studies derived categories of coherent sheaves on varieties that are obtained by projectivization of vector bundles and by monoidal transformations. Conditions for the existence of complete exceptional sets in such categories are derived; they give new examples of varieties on which exceptional sets exist.

Vyacheslav Vladimirovich Shokurov · 28 Feb 1993

We prove that 3-fold log flips exist. We deduce the existence of log canonical and -factorial log terminal models, as well as a positive answer to the inversion problem for log canonical and log terminal adjunction.

Alexander Razborov · 28 Feb 2003

We completely (that is, up to a logarithmic factor) characterize the bounded-error quantum communication complexity of every predicate $f(x,y)$ depending only on $|x\\cap y|$ ($x,y\\subseteq [n]$). Namely, for a predicate $D$ on $\\{0,1,...,n\\}$ let $\\ell_0(D)\\df \\max\\{\\ell : 1\\leq\\ell\\leq n/2\\land D(\\ell)\\not\\equiv D(\\ell-1)\\}$ and $\\ell_1(D)\\df \\max\\{n-\\ell : n/2\\leq\\ell < n\\land D(\\ell)\\not\\equiv D(\\ell+1)\\}$. Then the bounded-error quantum communication…