Results 41 to 50 of about 121 (115)
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
Journal of Pure and Applied Algebra, 1986 Let I be an ideal in an n-dimensional local ring (A,m). The Matlis dual of the local cohomology module \(H^{n}_{I}(A)^*\) is shown to be equal to a dual of a torsion submodule of the canonical module of \(\hat A\) (the completion of A). This generalizes results by R. Y. Sharp and J. Herzog - E. Kunz.
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Modular analogs of character formulas and minimal lifts of modular forms
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
Regularity of 𝐅𝐈-modules and local cohomology
Proceedings of the American Mathematical Society, 2018 We resolve a conjecture of Ramos and Li that relates the regularity of an F I \mathbf {FI}
Nagpal, Rohit +2 more
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h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
Computing the support of local cohomology modules
Journal of Symbolic Computation, 2006 15 ...
Josep Àlvarez Montaner, Anton Leykin
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Cofiniteness of modules and local cohomology
Rendiconti del Circolo Matematico di Palermo Series 2, 2023 Let $A$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $A$ and let $n$ be a non-negative integer. In this paper, we study $\mathcal{S}_{n}(\mathfrak{a})$, a certain class of $A$-modules and we find some sufficient conditions so that a module belongs to $\mathcal{S}_{n}(\mathfrak{a})$.
Sabzeh, Hajar, Sazeedeh, Reza
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Some Properties of Serre Subcategories in the Graded Local Cohomology Modules
Journal of Mathematics, 2017 Let R=⊕n≥0Rn be a standard homogeneous Noetherian ring with local base ring (R0,m0) and let M be a finitely generated graded R-module. Let HR+i(M) be the ith local cohomology module of M with respect to R+=⊕n>0Rn.
Feysal Hassani, Rasul Rasuli
doaj +1 more source