Motivic concentration theorem
نویسندگان
چکیده
منابع مشابه
Motivic Exponential Integrals and a Motivic Thom-sebastiani Theorem
1.1. Let f and f ′ be germs of analytic functions on smooth complex analytic varieties X and X ′ and consider the function f ⊕ f ′ on X × X ′ given by f ⊕ f (x, x) = f(x) + f (x). The Thom-Sebastiani Theorem classically states that the monodromy of f ⊕ f ′ on the nearby cycles is isomorphic to the product of the monodromy of f and the monodromy of f ′ (in the original form of the Theorem [18] t...
متن کاملA motivic Chebotarev density theorem
We define motivic Artin L-functions and show that they specialize to the usual Artin L-functions under the trace of Frobenius. In the last section we use our L-functions to prove a motivic analogue of the Chebotarev density theorem.
متن کاملConstructible motivic functions and motivic integration
1.1. In this paper, intended to be the first in a series, we lay new general foundations for motivic integration and give answers to some important issues in the subject. Since its creation by Maxim Kontsevich [23], motivic integration developed quickly and has spread out in many directions. In a nutshell, in motivic integration, numbers are replaced by geometric objects, like virtual varieties...
متن کاملA Concentration Theorem for Projections
Suppose the random vector X ∈ R has mean zero and finite second moments. We show that there is a precise sense in which almost all linear projections of X into R (for d < D) look like a scale-mixture of spherical Gaussians—specifically, a mixture of distributions N(0, σ2Id) where the σ values follow the same distribution as ‖X‖/ √ D. The extent of this effect depends upon the ratio of d to D, a...
متن کاملMotivic E∞-algebras and the Motivic Dga
In this paper we define an E∞-structure, i.e. a coherently homotopy associative and commutative product on chain complexes defining (integral and mod-l) motivic cohomology as well as mod -l étale cohomology. We also discuss several applications.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2020
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2020.v27.n2.a10