Results 71 to 80 of about 2,776 (226)
Totally elliptic surface group representations
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
wiley +1 more source
The size function of abelian varieties [PDF]
Transactions of the American Mathematical Society, 1972 The size function is defined for points in projective space over any field K , finitely generated field over Q , generalizing the height function for number fields.
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A birational description of the minimal exponent
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
Discrete Wilson Lines in F-Theory
Advances in High Energy Physics, 2011 F-theory models are constructed where the 7 -brane has a nontrivial fundamental group. The base manifolds used are a toric Fano variety and a smooth toric threefold coming from a reflexive polyhedron.
Volker Braun
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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
Every finite abelian group is the group of rational points of an ordinary abelian variety over $\mathbb{F}_2$, $\mathbb{F}_3$ and $\mathbb{F}_5$ [PDF]
, 2022 We show that every finite abelian group $G$ occurs as the group of rational points of an ordinary abelian variety over $\mathbb{F}_2$, $\mathbb{F}_3$ and $\mathbb{F}_5$.
Marseglia, Stefano, Springer, Caleb
core
Physical Review Research, 2021 With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
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On the grössencharacter of an abelian variety in a parametrized family [PDF]
, 1983 We consider families of abelian varieties parametrized by classical theta-functions, and show that specifying the family and a CM point in Siegel space determines the grössencharacter of the corresponding CM abelian variety.
Robert S. Rumely
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Degenerating abelian varieties via log abelian varieties [PDF]
Asian Journal of Mathematics, 2018 For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety over the discrete valuation ring extending the given abelian variety. This generalizes the log Tate curve of Kato.
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