00 7 on the Multiplicities of a Motive

نویسنده

  • BRUNO KAHN
چکیده

We introduce the notion of multiplicities for an object M in a semi-simple rigid tensor category A, as a collection of central scalars which relate the categorical trace with the ring-theoretic trace. Multiplicities turn out to be rational integers in important cases, most notably when A is of " homological origin ". We show that this integrality condition has simple consequences, like the rationality and a functional equation for the zeta function of an (invertible) endomorphism. An example is the category of pure motives modulo numerical equivalence with rational coefficients over a field k; if k is finite and M is of abelian type, its multiplicities are all equal to ±1.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : 0 70 5 . 12 53 v 1 [ m at h . A C ] 9 M ay 2 00 7 DUALITIES AND INTERSECTION MULTIPLICITIES

Let R be a commutative, noetherian, local ring. Topological Q– vector spaces modelled on full subcategories of the derived category of R are constructed in order to study intersection multiplicities.

متن کامل

ar X iv : n uc l - ex / 0 70 20 19 v 1 8 F eb 2 00 7 Entropy Production at High Energy and μ B

The systematics of bulk entropy production in experimental data on A+A, p + p and e+e− interactions at high energies and large μB is discussed. It is proposed that scenarios with very early thermalization, such as Landau’s hydrodynamical model, capture several essential features of the experimental results. It is also pointed out that the dynamics of systems which reach the hydrodynamic regime ...

متن کامل

بررسی اعتبار پارادایم‌های شخصیتی در مطالعه و پیش‌بینی کارآفرینی

The aim of this study was to determine the validity of personality paradigm in study and prediction of entrepreneurship. To this aim, causal-comparative method was used. Data were collected from two groups of entrepreneurs (n=60) and non-entrepreneurs (n=60). The two groups then responded to an standardized questionnaire of Achievement motive, Personal control, Self-esteem, Risk-taking, Innovat...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007