Results 81 to 90 of about 10,211,419 (281)
On the vanishing cycles of a meromorphic function on the complement of its poles [PDF]
, 1999 We study vanishing cycles naturally attached to a meromorphic function with isolated singularities, in both local and global settings.
D. Siersma, M. Tibăr
semanticscholar +1 more source
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We characterize a certain neck‐pinching degeneration of (marked) CP1$\mathbb {C}{\rm P}^1$‐structures on a closed oriented surface S$S$ of genus at least two. In a more general setting, we take a path of CP1$\mathbb {C}{\rm P}^1$‐structures Ct(t⩾0)$C_t \nobreakspace (t \geqslant 0)$ on S$S$ that leaves every compact subset in its deformation ...
Shinpei Baba
wiley +1 more source
The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley +1 more source
Banach Analytic Sets and a Non-Linear Version of the Levi Extension Theorem
, 2012 We prove a certain non-linear version of the Levi extension theorem for meromorphic functions. This means that the meromorphic function in question is supposed to be extendable along a sequence of complex curves, which are arbitrary, not necessarily ...
D. Barlet +13 more
core +1 more source
Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin
Mathematics, 2022 In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function.
Daniel Breaz +2 more
doaj +1 more source
A Framework to Compute Resonances Arising from Multiple Scattering
Advanced Theory and Simulations, Volume 8, Issue 2, February 2025.Photonic resonances frequently arise from the interaction among multiple scatterers. It is shown how prior knowledge of such constituents can be used to compute resonances in nanophotonic systems efficiently. The introduced framework combines a multiple‐scattering formalism with the recently established AAA algorithm.
Jan David Fischbach +10 more
wiley +1 more source
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch +2 more
wiley +1 more source
Dynamics and zeta functions on conformally compact manifolds
, 2011 In this note, we study the dynamics and associated zeta functions of conformally compact manifolds with variable negative sectional curvatures. We begin with a discussion of a larger class of manifolds known as convex co-compact manifolds with variable ...
Rowlett, Julie +2 more
core +2 more sources
On a Singular Direction of a Meromorphic Function
Georgian Mathematical Journal, 2005 By using Ahlfors' theory of a covering surface, we establish the existence of a new singular direction for a meromorphic function 𝑓, namely a 𝑇 direction for 𝑓, for which the Nevanlinna characteristic function 𝑇(𝑟, 𝑓) is used as a comparison function ...
Zhaojun Wu, Daochun Sun
semanticscholar +1 more source
Meromorphic functions and factoriality [PDF]
Proceedings of the American Mathematical Society, 2005 Let K K be a compact subset of a connected Stein manifold X X . We study algebraic properties of the ring of meromorphic functions on X X without poles in K K .
openaire +2 more sources