Results 71 to 80 of about 6,019,879 (179)
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
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Stochastic Diffusion Driven by Internal and External Brownian Motions
Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.ABSTRACT The purpose of this paper is to introduce a stochastic version of Fokas' unified transform formula for evolution PDEs on domains with boundary. The unified transform method, also known as Fokas method, was originally developed for deterministic initial‐boundary value problems and has, so far, been used primarily in deterministic settings.
Türker Özsarı
wiley +1 more source
Some relations among the classes of pseudo Q-holomorphic functions
, 2013 In this work, we consider an operation on the space of generating pairs and by using this operation we give some relations between pseudo Q-holomorphic functions generated by different generating pairs.
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Invertible weighted composition operators in the unit ball
四川大学学报. 自然科学版, 2016 The operator Cψ,φ that maps a holomorphic function f to ψ*f。φis called weighted composition operator,where ψ is a holomorphic function and φ is a holomorphic map.
ZHANG Kuang
doaj
Canonical metrics on holomorphic fibre bundles
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract In this article, we completely describe the existence of canonical metrics, known as optimal symplectic connections, on isotrivial Kähler fibrations. In this setting an optimal symplectic connection is induced from a Hermite–Einstein connection on the holomorphic principal bundle of relative automorphisms, and the Hitchin–Kobayashi ...
John Benjamin McCarthy
wiley +1 more source
Holomorphic extensions of orthogonal projections into holomorphic functions
, 1975 A condition is given which insures that the orthogonal projection of a function into the holomorphic functions is holomorphically extendible across a given boundary point.
J. J. Kohn
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Topological and geometric rigidity of nonnegatively curved submanifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
wiley +1 more source
Mixed motives and linear forms in the Catalan constant
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
wiley +1 more source
Zeroes of holomorphic vector fields and Grothendieck duality theory (and applications to the holomorphic fixed-point formula of Atiyah and Bott) [PDF]
The holomorphic fixed-point formula of Atiyah and Bott is discussed in terms of Grothendieck's theory of duality for algebraic varieties. The treatment is valid for an endomorphism of a compact complex-analytic manifold with arbitrary isolated fixed ...
O'Brian, Nigel Robert
core
Relations between elliptic modular graphs
Journal of High Energy Physics, 2020 We consider certain elliptic modular graph functions that arise in the asymptotic expansion around the non-separating node of genus two string invariants that appear in the integrand of the D 8ℛ4 interaction in the low momentum expansion of the four ...
Anirban Basu
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