Results 11 to 20 of about 624 (138)
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
wiley +1 more source
On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
wiley +1 more source
Cohomology with supports [PDF]
Pacific Journal of Mathematics, 1986 In this paper the study of cohomology theories, on a Hausdorff space X, introduced by the author in two previous papers [Contemp. Math. 12, 315- 329 (1982; Zbl 0518.55003); ''Cohomology theory on spaces'' (to appear)] is continued. If \(\Phi\) is a family of supports on X and H,\(\delta\) is a cohomology theory on X, then H,\(\delta\) has supports in \(
openaire +3 more sources
Tate modules as condensed modules
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani +2 more
wiley +1 more source
On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
Complexity and cohomology of cohomological Mackey functors
Advances in Mathematics, 2009 Let $k$ be a field of characteristic $p>0$. Call a finite group $G$ a poco group over $k$ if any finitely generated cohomological Mackey functor for $G$ over $k$ has polynomial growth. The main result of this paper is that $G$ is a poco group over $k$ if and only if the Sylow $p$-subgroups of $G$ are cyclic, when $p>2$, or have sectional rank at ...
openaire +3 more sources
On the Cohomology of Contextuality [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Recent work by Abramsky and Brandenburger used sheaf theory to give a mathematical formulation of non-locality and contextuality. By adopting this viewpoint, it has been possible to define cohomological obstructions to the existence of global sections. In the present work, we illustrate new insights into different aspects of this theory.
openaire +3 more sources
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
wiley +1 more source
The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source