Results 131 to 140 of about 3,771 (225)

Modular forms for abelian varieties [PDF]

open access: yes, 2017
As the modularity theorem shows, classical modular forms are connected to Tate modules of elliptic curves over $\mathbb{Q}$ through their $L$-functions. This connection is built through the automorphic representations of GL(2) and its subgroups.
Shahabi, Majid
core  

Degenerating abelian varieties via log abelian varieties

open access: yes
This thesis is based on the author's paper [52]. It extends the construction of log Tate curves from [25, §1] to higher dimensions. The approach involves extensive applications of algebraic spaces and higher-dimensional convex geometry to create diverse models for any given split totally degenerate semi-stable abelian variety over a complete discrete ...
openaire   +1 more source

Categorical Torelli theorems: results and open problems. [PDF]

open access: yesRend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

Comparison of the $μ$-invariants of an abelian variety and its dual abelian variety

open access: yes, 2013
In this note, we compare the dual Selmer groups of an abelian variety with that of its dual over certain large Galois field. We give formula which relates the generalized Iwasawa $μ$-invariants associated with their dual Selmer groups under the natural isogeny.
openaire   +2 more sources

On the principally polarized abelian varieties with m-minimal curves [PDF]

open access: yes, 2017
In this paper, we study principally polarized abelian varieties X of dimension g with a curve C  such that the class of C is m times theminimal class.  Welters introduced the formalism of complementarypairs to handle this problem in the case m =
SAUVAGET, Adrien   +2 more
core   +1 more source

Fourier Mukai transforms of line bundles on derived equivalent abelian varieties

open access: yesLe Matematiche, 2008
We study the Fourier-Mukai functor D(Y) → D(X) induced by the universal family on a fine moduli space Y for simple semihomogeneous vector bundles on an abelian variety X.
Martin G. Gulbrandsen
doaj  

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