Results 31 to 40 of about 2,108,594 (166)
Dieudonné theory via cohomology of classifying stacks
Forum of Mathematics, Sigma, 2021 We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
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InfoScience, EarlyView.Pseudomagnetic fields make light and sound emulate charged particles in magnetic fields, enabling magnetic‐free signal processing. This Review summarizes their origins, three implementations in two‐dimensional artificial lattices, and applications in energy localization and robust transport, guiding the design of topological integrated devices ...
Shuaihu Liu +5 more
wiley +1 more source
Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
wiley +1 more source
On Abelian and Related Fuzzy Subsets of Groupoids
The Scientific World Journal, 2013 We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of
Seung Joon Shin, Hee Sik Kim, J. Neggers
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Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves
Mathematische Nachrichten, EarlyView.ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level N$N$ with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.
Oana Padurariu +2 more
wiley +1 more source
Abelian functions associated with a cyclic tetragonal curve of genus six [PDF]
, 2009 We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve y^4 = x^5 + λ[4]x^4 + λ[3]x^3 + λ[2]x^2 + λ[1]x + λ[0].
Eilbeck, J. C. +2 more
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Toward Kitaev's sixteenfold way in a honeycomb lattice model
Physical Review Research, 2020 Kitaev's sixteenfold way is a classification of exotic topological orders in which Z_{2} gauge theory is coupled to Majorana fermions of Chern number C. The 16 distinct topological orders within this class, depending on Cmod16, possess a rich variety of ...
Shang-Shun Zhang +2 more
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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A sharp Bogomolov-type bound [PDF]
, 2012 We prove a sharp lower bound for the essential minimum of a nontranslate variety in certain abelian varieties. This uses and generalises a result of Galateau.
Checcoli, Sara +2 more
core
On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians
Journal of Mathematics, 2015 We give a new proof for a theorem of Ziv Ran which generalizes some results of Matsusaka and Hoyt. These results provide criteria for an Abelian variety to be a Jacobian or a product of Jacobians. The advantage of our method is that it works in arbitrary
Cristian Anghel, Nicolae Buruiana
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