Results 41 to 50 of about 95 (86)
The asymptotic Mahler measure of Gaussian periods
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Cpn$C_{p^n}$‐equivariant Mahowald invariants
Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama +2 more
wiley +1 more source
Manin's conjecture for integral points on toric varieties
Abstract We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant that is similar to Peyre's interpretation of the leading constant in Manin's conjecture ...
Tim Santens
wiley +1 more source
Tate modules as condensed modules
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 Artinian generalized local cohomology modules
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On the cofiniteness of generalized local cohomology modules [PDF]
Sh. Payrovi, I. Khalili Gorji
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Top generalized local cohomology modules
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A Generalization of Formal Local Cohomology Modules
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Modules of generalized fractions and general local cohomology modules
Archiv Der Mathematik, 1987Let A be a commutative Noetherian ring with identity. Following the author [J. Lond. Math. Soc., II. Ser. 19, 402-410 (1979; Zbl 0396.13016)] a non-empty set of ideals of A, say \(\Phi\), is called a system of ideals of whenever \({\mathfrak a},{\mathfrak b}\in \Phi\), then there is an ideal \({\mathfrak c}\) in \(\Phi\) such that \({\mathfrak c ...
exaly +3 more sources
General Local Cohomology Modules with Small Dimensions
Vietnam Journal of Mathematics, 2022Let \(R\) be a commutative Noetherian ring, \(\Phi\) a system of ideals of \(R\), \(M\) a finitely generated \(R\)-module, and \(n\) an integer. n this article, the authors introduce the notion \(n\)-\(\operatorname{depth}(\Phi, M)= \inf\{n\)-\(\operatorname{depth}(\mathfrak{a}, M): \mathfrak{a}\in \Phi\}\) and show that if \(-1\leq n\leq 1\), then \(n\
Nguyen Minh Tri, Bui Thi Hong Cam
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