Results 31 to 40 of about 147 (142)
Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
Measuring birational derived splinters
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn +3 more
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ON SOME PROPERTIES OF PURE MORPHISMS OF COMMUTATIVE RINGS
, 2008 . We prove that pure morphisms of commutative rings are effective Adescent morphisms where A is a (COMMUTATIVE RINGS) op-indexed category given by (i) finitely generated modules, or (ii) flat modules, or (iii) finitely generated flat modules, or (iv ...
Bachuki Mesablishvili
core
The Field of Norms Functor and the Hilbert Symbol [PDF]
, 2010 The classical Hilbert symbol of a higher local field $F$ containing a primitive $p^M$-th root of unity $\zeta_M$ is a pairing $F^*/(F^*)^{p^M}\times K_N(F)/p^M \to \mu_{p^M}$, describing Kummer extensions of exponent $p^M$.
JENNI, RUTH,CHRISTINE +1 more
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Categories of spaces built from local models
, 2016 Many of the classes of objects studied in geometry are defined by first choosing a class of nice spaces and then allowing oneself to glue these local models together to construct more general spaces. The most well-known examples are manifolds and schemes.
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Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
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Manifestly unitary higher Hilbert spaces
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Higher idempotent completion gives a formal inductive construction of the n$n$‐category of finite‐dimensional n$n$‐vector spaces starting with the complex numbers. We propose a manifestly unitary construction of low‐dimensional higher Hilbert spaces, formally constructing the C∗$\mathrm{C}^*$‐3‐category of 3‐Hilbert spaces from Baez's 2 ...
Quan Chen +4 more
wiley +1 more source
Exact contexts, noncommutative tensor products, and universal localizations
, 2018 Exact contexts and their noncommutative tensor products are introduced which generalize the notions of Milnor squares and usual tensor products over commutative rings, respectively.
Hongxing Chen, Changchang Xi
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
Morfismos entre anillos semi-graduados y aplicaciones polinomiales
, 2023 ilustracionesIn this thesis, we study several kinds of morphisms between families of semi-graded rings with their corresponding polynomial applications.
Ramírez Cubillos, María Camila
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