منابع مشابه
Constructible 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 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 کامل4 CONSTRUCTIBLE MOTIVIC FUNCTIONS AND MOTIVIC INTEGRATION by Raf
1.1. — In this paper, intented 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 [20], motivic integration developped quite fast and has spread out in many directions. In a nutshell, in motivic integration, numbers are replaced by geometric objects, like virtual var...
متن کاملMotivic 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 کاملArc Spaces , Motivic Integration
The concept ofmotivic integrationwas invented by Kontsevich to show that birationally equivalent Calabi-Yau manifolds have the same Hodge numbers. He constructed a certain measure on the arc space of an algebraic variety, the motivic measure, with the subtle and crucial property that it takes values not in R, but in the Grothendieck ring of algebraic varieties. A whole theory on this subject wa...
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: Algebra & Number Theory
سال: 2020
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2020.14.1801