Results 41 to 50 of about 116,310 (177)
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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Dirac cohomology, elliptic representations and endoscopy
, 2015 The first part (Sections 1-6) of this paper is a survey of some of the recent developments in the theory of Dirac cohomology, especially the relationship of Dirac cohomology with (g,K)-cohomology and nilpotent Lie algebra cohomology; the second part ...
A W Knapp +40 more
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Pitfalls and missing links in current understanding of 4D genomes
Quantitative Biology, Volume 14, Issue 2, June 2026.Abstract The spatial and temporal organization of the genome—collectively termed the 4D genome—is pivotal for regulating gene expression, maintaining genome stability, and guiding development. The convergence of chromosome conformation capture technologies, super‐resolution microscopy, and single‐cell epigenomics has transformed our understanding of ...
Michael Q. Zhang
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Cohomology and Deformations of Relative Rota–Baxter Operators on Lie-Yamaguti Algebras
MathematicsIn this paper, we establish the cohomology of relative Rota–Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then, we use this type of cohomology to characterize deformations of relative Rota–Baxter operators on Lie-Yamaguti ...
Jia Zhao, Yu Qiao
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COHOMOLOGICAL LENGTH FUNCTIONS [PDF]
Nagoya Mathematical Journal, 2016 We study certain integer valued length functions on triangulated categories, and establish a correspondence between such functions and cohomological functors taking values in the category of finite length modules over some ring. The irreducible cohomological functions form a topological space.
openaire +2 more sources
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
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Alternative formulations of the twistor double copy
Journal of High Energy Physics, 2022 The classical double copy relating exact solutions of biadjoint scalar, gauge and gravity theories continues to receive widespread attention. Recently, a derivation of the exact classical double copy was presented, using ideas from twistor theory, in ...
Erick Chacón +2 more
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, 1996 States obtained by projecting boundary states, associated with D-branes, to fixed mass-level and momentum generically define non-trivial cohomology classes.
Joseph Henry +2 more
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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