Results 61 to 70 of about 330 (178)
Matrix powers over finite fields
Let GF(q) denote the finite field of order q=pe with p odd. Let M denote the ring of 2×2 matrices with entries in GF(q). Let n denote a divisor of q−1 and assume 2≤n and 4 does not divide n.
Maria T. Acosta-De-Orozco +1 more
doaj +1 more source
Finding Minimum‐Cost Explanations for Predictions Made by Tree Ensembles
ABSTRACT The ability to reliably explain why a machine learning model arrives at a particular prediction is crucial when used as decision support by human operators of critical systems. The provided explanations must be provably correct, and preferably without redundant information, called minimal explanations.
John Törnblom +2 more
wiley +1 more source
Unit groups of cube radical zero commutative completely primary finite rings
A completely primary finite ring is a ring R with identity 1≠0 whose subset of all its zero-divisors forms the unique maximal ideal J. Let R be a commutative completely primary finite ring with the unique maximal ideal J such that J3=(0) and J2≠(0). Then
Chiteng'a John Chikunji
doaj +1 more source
On the canonical bundle formula in positive characteristic
Abstract Let f:X→Z$f:X\to Z$ be a fibration from a normal projective variety X$X$ of dimension n$n$ onto a normal curve Z$Z$ over a perfect field of characteristic p>2$p>2$. Let (X,B)$(X,B)$ be a dlt pair such that the induced pair on a general fibre is log canonical.
Marta Benozzo
wiley +1 more source
GALOIS CLOSURE DATA FOR EXTENSIONS OF RINGS [PDF]
This is a condensed, updated, and revised version of the author's Ph.D ...
openaire +3 more sources
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Galois orders in skew monoid rings
The paper deals with ring extensions \(\Gamma\subset U\) of an integral domain \(\Gamma\), in particular, a general class of subrings of invariants in twisted Galois semigroup rings which the authors call Galois orders. The study of such Galois orders is inspired by the authors' previous work on Harish-Chandra categories [Fibers of characters in Harish-
Futorny, Vyacheslav, Ovsienko, Serge
openaire +2 more sources
Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$
Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
wiley +1 more source
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Solving the n $n$‐Player Tullock Contest
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley +1 more source

