Publications related to Characteristic (algebra)

Dense Packings via Lifts of Codes to Division Rings

obtain algorithmically effective versions of the dense lattice sphere packings constructed from orders in Q-division rings by the first author. The lattices in question are lifts of suitable codes from prime characteristic to orders O in Q-division rings a ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023

Arithmetic and geometric deformations of threefolds

Stefano Filipazzi, Fabio Bernasconi

We show that mixed-characteristic and equicharacteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic p>5 are canonical (resp., terminal). We discuss applications to arithmetic a ...

Hoboken2023

Variation in Phototopic and Melanopic Lighting in Swiss Offices: A Field Study

Marilyne Andersen, Jan Wienold, Caroline Karmann, Megan Nicole Danell, Clotilde Marie A Pierson

Health requirements for lighting in buildings are becoming increasingly important in building standards. Yet, there is a lack of concrete data on the lighting conditions that prevail in our workplaces, in terms of their spectral characteristics, their seas ...

2023

Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic

Giulio Orecchia

Let X /S be a flat algebraic stack of finite presentation. We define a new & eacute;tale fundamental pro-groupoid pi(1)(X /S), generalizing Grothendieck's enlarged & eacute;tale fundamental group from SGA 3 to the relative situation. When S is of equal pos ...

GEOMETRY & TOPOLOGY PUBLICATIONS2022

On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic

Emelie Kerstin Arvidsson, Fabio Bernasconi

We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over perfect fields of positive characteristic p > 5. As a consequence, we show that klt threefold singularities over a perfect base field of characteristic p > 5 are rational. ...

CAMBRIDGE UNIV PRESS2022

Microscopic field theory for structure formation in systems of self-propelled particles with generic torques

Ignacio Pagonabarraga Mora, Elena Sesé Sansa

We derive a dynamical field theory for self-propelled particles subjected to generic torques and forces by explicitly coarse-graining their microscopic dynamics, described by a many-body Fokker-Planck equation. The model includes both intrinsic torques ind ...

AIP Publishing2022

Global Frobenius liftability I

Maciej Emilian Zdanowicz

We formulate a conjecture characterizing smooth projective varieties in positive characteristic whose Frobenius morphism can be lifted modulo p(2)-we expect that such varieties, after a finite stale cover, admit a toric fibration over an ordinary abelian v ...

EUROPEAN MATHEMATICAL SOC-EMS2021

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Arjen Lenstra, Robert Granger, Thorsten Kleinjung, Benjamin Pierre Charles Wesolowski

This paper reports on the computation of a discrete logarithm in the finite field F-230750, breaking by a large margin the previous record, which was set in January 2014 by a computation in F-29234. The present computation made essential use of the elimina ...

AMER MATHEMATICAL SOC2021

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Characteristic (algebra)

Dense Packings via Lifts of Codes to Division Rings

Arithmetic and geometric deformations of threefolds

Variation in Phototopic and Melanopic Lighting in Swiss Offices: A Field Study

Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic

On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic

Gerstenhaber structure on Hochschild cohomology of the Fomin–Kirillov algebra on 3 generators

Microscopic field theory for structure formation in systems of self-propelled particles with generic torques

Global Frobenius liftability I

On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic

Computation Of A 30750-Bit Binary Field Discrete Logarithm

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Gerstenhaber structure on Hochschild cohomology of the Fomin–Kirillov algebra on 3 generators

Global Frobenius liftability I

Arithmetic and geometric deformations of threefolds

Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic

Dense Packings via Lifts of Codes to Division Rings

Variation in Phototopic and Melanopic Lighting in Swiss Offices: A Field Study

On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic

Computation Of A 30750-Bit Binary Field Discrete Logarithm

Microscopic field theory for structure formation in systems of self-propelled particles with generic torques

On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic