Results 71 to 80 of about 5,350,013 (268)
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
Journal of Symbolic Computation, 2000 23 pages, 2 figures, uses diagrams.tex, to appear in Journal of Symbolic ...
David Eisenbud +2 more
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Scalable Computation of Topological Abstractions for Scalar Data
Computer Graphics Forum, EarlyView.Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will +6 more
wiley +1 more source
Separating invariants and local cohomology [PDF]
Advances in Mathematics, 2015 The study of separating invariants is a recent trend in invariant theory. For a finite group acting linearly on a vector space, a separating set is a set of invariants whose elements separate the orbits of G. In some ways, separating sets often exhibit better behavior than generating sets for the ring of invariants.
Dufresne, Emilie Sonia, Jeffries, Jack
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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
On the Kottwitz conjecture for local shtuka spaces
Forum of Mathematics, Pi, 2022 Kottwitz’s conjecture describes the contribution of a supercuspidal representation to the cohomology of a local Shimura variety in terms of the local Langlands correspondence.
David Hansen +2 more
doaj +1 more source
Coarsening of Graded Local Cohomology [PDF]
Communications in Algebra, 2013 minor ...
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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
wiley +1 more source
Local Cohomology of Modules of Covariants
Advances in Mathematics, 1999 Let \(G\) be a connected reductive algebraic group and \(U\) an irreducible finite dimensional representation of \(G\) and \(S\) the simple roots of \(G\). Then \(G\) acts on the polynomial ring \(R=SU\) associated to \(U\), and \(R^G\) is Cohen-Macaulay by the Hochster-Robert theorem. A conjecture of Stanley [proved partially by the author: \textit{M.
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Nonvanishing Local Cohomology Classes [PDF]
Transactions of the American Mathematical Society, 1984 We discuss the nonvanishing of a top-dimensional canonical cohomology class of the space B
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