Results 31 to 40 of about 449 (121)
A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
The Burnside ring of fusion systems [PDF]
, 2009 Peer ...
Diaz, Antonio, Libman, Assaf
core +1 more source
Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
Recognising flag varieties and reductive groups
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract Fix a flat and projective morphism X→Σ$X\rightarrow \Sigma$ of schemes. We show, first, that any set of P1${\mathbb {P}}^1$‐fibrations on X$X$ defines a set of simple roots, a set of simple coroots and a Cartan matrix C$C$. Second, X$X$ is an étale F${\mathcal {F}}$‐bundle over some projective Σ$\Sigma$‐scheme, where F${\mathcal {F}}$ is the ...
Ian Grojnowski +1 more
wiley +1 more source
Vanishing results for the cohomology of complex toric hyperplane complements [PDF]
Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
core
Torsion pairs via the Ziegler spectrum
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel +2 more
wiley +1 more source
Syntomic cohomology and real topological cyclic homology
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
Faithfulness of actions on Riemann-Roch spaces
, 2015 Given a faithful action of a finite group G on an algebraic curve X of genus g > 1, we give explicit criteria for the induced action of G on the Riemann-Roch space H^0(X,O_X(D)) to be faithful, where D is a G-invariant divisor on X of degree at least ...
Koeck, Bernhard, Tait, Joseph
core +1 more source
Augmented Homotopical Algebraic Geometry
, 2017 In this thesis we are interested in extending the theory of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry.
Scott Lewis Balchin (7742411)
core +6 more sources
The local Langlands correspondence for inner forms of SL_n [PDF]
, 2016 Let F be a non-archimedean local field. We establish the local Langlands correspondence for all inner forms of the group SLn(F). It takes the form of a bijection between, on the one hand, conjugacy classes of Langlands parameters for SLn(F) enhanced with ...
Aubert, Anne-Marie +11 more
core +3 more sources