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Documents  Farkas, Gavril | enregistrements trouvés : 3

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- vi; 376 p.
ISBN 978-3-03719-119-4

Series of congress reports

Localisation : Colloque 1er étage (SCHI)

géométrie algébrique # géométrie arithmétique

00B25 ; 11-06 ; 14-06 ; 00B30

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Research talks;Algebraic and Complex Geometry

The general principally polarized abelian variety of dimension at most five is known to be a Prym variety. This reduces the study of abelian varieties of small dimension to the beautifully concrete theory of algebraic curves. I will discuss recent breakthrough on finding a structure theorem for principally polarized abelian varieties of dimension six as Prym-Tyurin varieties associated to covers with $E_6$-monodromy, and the implications this uniformization result has on the geometry of the moduli space $A_6$. This is joint work with Alexeev, Donagi, Izadi and Ortega. The general principally polarized abelian variety of dimension at most five is known to be a Prym variety. This reduces the study of abelian varieties of small dimension to the beautifully concrete theory of algebraic curves. I will discuss recent breakthrough on finding a structure theorem for principally polarized abelian varieties of dimension six as Prym-Tyurin varieties associated to covers with $E_6$-monodromy, and the implications this ...

14J40 ; 14H10 ; 14H40

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- ix; 399 p.
ISBN 978-3-319-29958-7

Progress in mathematics , 0315

Localisation : Collection 1er étage

géométrie algébrique # module des surface K3 # théorie des treillis # système dynamique # théorie des nombres # conjecture de Tate # théorie des cordes # variété symplectique holomorphe

14J28 ; 14J15 ; 14J10 ; 14J32 ; 14J33 ; 14J50 ; 14N35

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