Results 91 to 100 of about 10,470,703 (228)
Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
wiley +1 more source
Norm preserving extensions of holomorphic functions from subvarieties of the bidisk [PDF]
, 2022 Jim Agler, John E. McCarthy
openalex +1 more source
On the volume growth of K\"ahler manifolds with nonnegative bisectional curvature [PDF]
, 2015 Let $M$ be a complete K\"ahler manifold with nonnegative bisectional curvature. Suppose the universal cover does not split and $M$ admits a nonconstant holomorphic function with polynomial growth, we prove $M$ must be of maximal volume growth.
Liu, Gang
core
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley +1 more source
Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
Selfdual Einstein metrics and conformal submersions [PDF]
, 2000 Weyl derivatives, Weyl-Lie derivatives and conformal submersions are defined, then used to generalize the Jones-Tod correspondence between selfdual 4-manifolds with symmetry and Einstein-Weyl 3-manifolds with an abelian monopole.
Calderbank, David M. J.
core
Exact beta function and glueball spectrum in large-N Yang Mills theory
, 2010 In the pure large-N Yang-Mills theory there is a quasi-BPS sector that is exactly solvable at large N. It follows an exact beta function and the glueball spectrum in this sector.
Bochicchio, Marco
core +1 more source
On discrete subgroups of the complex unit ball
Mathematische Nachrichten, Volume 298, Issue 10, Page 3272-3286, October 2025.Abstract In this paper, we study conditions for a discrete subgroup of the automorphism group of the n$n$‐dimensional complex unit ball to be of convergence type or second kind, connecting these classifications to the existence of Green's functions and subharmonic or harmonic functions on its quotient space.
Aeryeong Seo
wiley +1 more source
ELEMENTARY SOLUTIONS OF A HOMOGENEOUS Q-SIDED CONVOLUTION EQUATION
Проблемы анализа, 2018 Spectral synthesis on the complex plane related to solutions of some homogeneous equations of convolution type. There is a method to obtain solutions: we describe the elementary solutions set of the equation (spectral analysis) and prove the ...
Tatarkin A . A . +1 more
doaj +1 more source
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
doaj +1 more source