Results 11 to 20 of about 5,445 (84)
Bundles of generalized theta functions over abelian surfaces [PDF]
, 2016 We study the bundles of generalized theta functions constructed from moduli spaces of sheaves over abelian surfaces. In degree 0, the splitting type of these bundles is expressed in terms of indecomposable semihomogeneous factors.
Oprea, Dragos
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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
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Jacobian Nullwerte, Periods and Symmetric Equations for Hyperelliptic Curves [PDF]
, 2006 We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves.
Guàrdia, J.
core +3 more sources
Mirror symmetry and quantization of abelian varieties
, 2000 The paper consists of two sections. The first section provides a new definition of mirror symmetry of abelian varieties making sense also over $p$-adic fields. The second section introduces and studies quantized theta-functions with two-sided multipliers,
A Connes +14 more
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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
Normal forms for Kummer surfaces
, 2019 We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type $(1,1)$, $(1,2)$, $(2,2)$, $(2,4)$, and $(1,4)$.
Clingher, Adrian, Malmendier, Andreas
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Advanced Science, EarlyView.We combine altermagnet with topological insulators and subject the structure to Floquet driving. This breaks time‐reversal symmetry and creates a new type of higher‐order topological insulator. Its key feature is the emergence of programmable “0/π‐corner modes” that can be controlled by magnetic field direction, offering a novel dynamic platform for ...
Donghao Wang +4 more
wiley +1 more source
Castelnuovo theory and the geometric Schottky problem
, 2006 We prove and conjecture results which show that Castelnuovo theory in projective space has a close analogue for abelian varieties. This is related to the geometric Schottky problem: our main result is that a principally polarized abelian variety ...
Pareschi, Giuseppe, Popa, Mihnea
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley +1 more source
Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian +3 more
wiley +1 more source