Mixed Tate motives over Z
... of even Tate twists (since multiple zeta values are real numbers, we need not consider odd Tate twists). In keeping with the usual terminology for multiple zeta values, we refer to the grading on HMT+ as the weight, which is one half the motivic weight. After making some choices, the motivic multipl ...
... of even Tate twists (since multiple zeta values are real numbers, we need not consider odd Tate twists). In keeping with the usual terminology for multiple zeta values, we refer to the grading on HMT+ as the weight, which is one half the motivic weight. After making some choices, the motivic multipl ...
Multiplicities and Enumeration of Semidualizing Modules
... Recall that codim(R) = edim(R)−dim(R) where edim(R) is the minimal number of generators of m. Rings of codimension 0 are regular, and codimension 1 rings are hypersurfaces. In particular, if codim(R) 6 1, then R is Gorenstein so S0 (R) = {[R]}. Hence, the first potentially interesting case is codime ...
... Recall that codim(R) = edim(R)−dim(R) where edim(R) is the minimal number of generators of m. Rings of codimension 0 are regular, and codimension 1 rings are hypersurfaces. In particular, if codim(R) 6 1, then R is Gorenstein so S0 (R) = {[R]}. Hence, the first potentially interesting case is codime ...
Algorithms in algebraic number theory
... have been found often need tools that at first sight seem foreign to the statement of the problem. Algebraic number theory has in recent times been applied to the solution of algorithmic problems that, in their formulations, do not refer to algebraic number theory at all. That this occurs in the con ...
... have been found often need tools that at first sight seem foreign to the statement of the problem. Algebraic number theory has in recent times been applied to the solution of algorithmic problems that, in their formulations, do not refer to algebraic number theory at all. That this occurs in the con ...
(pdf).
... We will start the study of integral closure from the definition and we will aim to Rees’s characterization of analytically unramified rings and the Brianson-Skoda Theorem. I will try to make the class as self-contained as possible. People should be familiar with the content of Introduction to Commut ...
... We will start the study of integral closure from the definition and we will aim to Rees’s characterization of analytically unramified rings and the Brianson-Skoda Theorem. I will try to make the class as self-contained as possible. People should be familiar with the content of Introduction to Commut ...
