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The goal of this paper is to give an explicit formula for the l-adic cohomology of period domains over finite fields for arbitrary reductive groups. The result is a generalisation of the computation in math.AG/9907098 which treats the case…

Algebraic Geometry · Mathematics 2007-05-23 Sascha Orlik

Leech's (co)homology groups of finite cyclic monoids are computed.

K-Theory and Homology · Mathematics 2016-02-04 María Calvo-Cervera , Antonio M. Cegarra

Let D be a domain with quotient field K and A a D-algebra. We call a polynomial with coefficients in K that maps every element of A to an element of A "integer-valued on A". For commutative A we also consider integer-valued polynomials in…

Rings and Algebras · Mathematics 2013-06-11 Sophie Frisch

In this paper, we investigate the problem of multi-domain translation: given an element $a$ of domain $A$, we would like to generate a corresponding $b$ sample in another domain $B$, and vice versa. Acquiring supervision in multiple domains…

Machine Learning · Computer Science 2022-12-08 Tsiry Mayet , Simon Bernard , Clement Chatelain , Romain Herault

It will be shown that the polynomial time computable numbers form a field, and especially an algebraically closed field.

Computational Complexity · Computer Science 2007-05-23 Tetsushi Matsui

We propose a subconjecture that implies the semiampleness conjecture for quasi-numerically positive log canonical divisors and prove the semiampleness in some elementary cases.

Algebraic Geometry · Mathematics 2015-11-11 Shigetaka Fukuda

In this paper we use display calculus to show the decidability for normal modal logic K and some of its extensions.

Logic · Mathematics 2023-12-27 Jinsheng Chen

We give the q-analogue of the sums of the n-th powers of positive integers up to k-1.

Number Theory · Mathematics 2007-05-23 Taekyun Kim

We present an algorithm for computing a holonomic system for a definite integral of a holonomic function over a domain defined by polynomial inequalities. If the integrand satisfies a holonomic difference-differential system including…

Symbolic Computation · Computer Science 2016-04-05 Toshinori Oaku

This is the first out of two papers on independent resolutions for totally disconnected dynamical systems. In the present paper, we discuss independent resolutions from an algebraic point of view. We also present applications to group…

K-Theory and Homology · Mathematics 2014-09-23 Xin Li , Magnus Dahler Norling

In this paper we introduce the notion of the $P$-sequences and apply their properties in studying representability of real numbers. Another application of $P$-sequences we find in generating the Prouhet-Tarry-Escott pairs.

Number Theory · Mathematics 2007-05-23 Zarko Mijajlovic , Milos Milosevic , Aleksandar Perovic

Based on tiles and on the Coven-Meyerowitz property, we present some examples and some general constructions of spectral subsets of integers.

Number Theory · Mathematics 2017-06-21 Dorin Ervin Dutkay , Isabelle Kraus

In this paper, we present some applications of a difference equation of degree k in Cryptography and Coding Theory.

Information Theory · Computer Science 2018-09-05 Cristina Flaut

We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in arbitrary number fields.

Operator Algebras · Mathematics 2025-04-08 Xin Li , Wolfgang Lück

We extend the conjecture on the derived equivalence and K-equivalence to the logarithmic case and prove it in the toric case.

Algebraic Geometry · Mathematics 2007-05-23 Yujiro Kawamata

In this paper, we prove a semistable reduction type theorem for multi-filtered vector spaces (or known as multi-weighted vector spaces).

Algebraic Geometry · Mathematics 2017-09-27 Shizhang Li

Let $\Omega$ be an open convex domain of the complex plane. We study constants K such that $\Omega$ is K-spectral or complete K-spectral for each continuous linear Hilbert space operator with numerical range included in $\Omega$. Several…

Functional Analysis · Mathematics 2018-06-05 Catalin Badea , Michel Crouzeix , Bernard Delyon

We give several algorithms addressing computations of intersections of conjugate subgroups.

Group Theory · Mathematics 2018-11-13 Rita Gitik

We construct parametric families of (monic) reducible polynomials having two roots very close to each other.

Number Theory · Mathematics 2014-05-26 Yann Bugeaud , Andrej Dujella

This work generalizes the problem of unsupervised domain generalization to the case in which no labeled samples are available (completely unsupervised). We are given unlabeled samples from multiple source domains, and we aim to learn a…

Machine Learning · Computer Science 2024-02-01 Amit Rozner , Barak Battash , Lior Wolf , Ofir Lindenbaum
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