Results 11 to 20 of about 5,424 (75)

Faltings height and N\'eron-Tate height of a theta divisor

, 2020
We prove a formula which, given a principally polarized abelian variety $(A,\lambda)$ over the field of algebraic numbers, relates the stable Faltings height of $A$ with the N\'eron-Tate height of a symmetric theta divisor on $A$.
de Jong, Robin, Shokrieh, Farbod
core   +1 more source

Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers

, 2006
We study the properties of Eisenstein-Kronecker numbers, which are related to special values of Hecke $L$-function of imaginary quadratic fields. We prove that the generating function of these numbers is a reduced (normalized or canonical in some ...
Bannai, Kenichi, Kobayashi, Shinichi
core   +2 more sources

Theta Functions and Adiabatic Curvature on an Abelian Variety

The Journal of Geometric Analysis
For an ample line bundle $L$ on an Abelian variety $M$, we study the theta functions associated with the family of line bundles $L\otimes T$ on $M$ indexed by $T\in \text{Pic}^{0}(M)$. Combined with an appropriate differential geometric setting, this leads to an explicit curvature computation of the direct image bundle $E$ on $\text{Pic}^{0}(M)$, whose
Ching-Hao Chang, Jih-Hsin Cheng, I.-Hsun Tsai   +2 more
openaire   +3 more sources

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Wild conductor exponents of curves

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley   +1 more source

Polymatroidal tilings and the Chow class of linked projective spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley   +1 more source

Mirror symmetry of abelian varieties and multi-theta functions

Journal of Algebraic Geometry, 2002
We study homological mirror symmetry conjecture of symplectic and complex torus. We will associate a mirror torus(T2n,ω+−1B)∧(T^{2n},\omega +\sqrt {-1}B)^{\wedge }to each symplectic torus(T2n,ω)(T^{2n},\omega )together with a closed 2 formBBwhich we call aBB-field. We will associate a coherent sheafE(L,L){\mathcal E}(L,{\mathcal L})on(T2n,ω+−1B)∧(T^{2n}
openaire   +2 more sources

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

Advanced Materials, Volume 38, Issue 21, 13 April 2026.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen, Dongsheng Song, Filipp N. Rybakov, Nikolai S. Kiselev, Long Li, Wen Shi, Rui Wu, Xuewen Fu, Olle Eriksson, Stefan Blügel, Rafal E. Dunin‐Borkowski, Haifeng Du, Fengshan Zheng   +12 more
wiley   +1 more source

The Schottky problem in genus five [PDF]

, 2012
In this paper, we present a solution to the Schottky problem in the spirit of Schottky and Jung for genus five curves. To do so, we exploit natural incidence structures on the fibers of several maps to reduce all questions to statements about the Prym ...
Siegel, Charles
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