Main

Fields of interest:

• Abelian varieties, 
• K3 surfaces, 
• ell-adic representations, 
• Lie algebras
  
  

Recent publications:

Y. Zarhin:
Non-supersingular hyperelliptic jacobians. 
Bull. Soc. Math. France, Vol. 132, (2004), pp. 617-634

A. Silverberg, Y. Zarhin:
Inertia groups and abelian surfaces,
J. Number Theory., Vol. 110, (2005), pp. 178-198

Y. Zarhin:
Del Pezzo surfaces of degree 2 and jacobians without complex multiplication, 
Trudy St. Petersburg Mat. Obsch., Vol. 11, (2005), pp. 81-91;
**Proceedings of St. Petersburg Math. Society 11,  Amer. Math. Soc.
Translations Series 2, Vol. 218, (2006), pp. 67-75.

V.L. Popov, Y. Zarhin:
Finite linear groups, invariant lattices and products of elliptic curves,
J. Algebra, Vol. 305, (2006), pp. 562-576.

Y. Zarhin:
Abelian varieties without homotheties,
Math. Research Letters, Vol. 14 (2007), pp. 157-164.

Y. Zarhin:
Del Pezzo surfaces of degree 1 and jacobians, 
Math. Annalen, Vol. 340(2), (2008), pp. 407-435

A.N. Skorobogatov, Y. Zarhin:
A finiteness theorem for Brauer groups of abelian varieties and K3 surfaces,
J. Algebraic Geometry, Vol. 17(3), (2008), pp.  481-502.

Y. Zarhin:
Isogeny classes of abelian varieties over function fields,
Proc. London Math. Soc., Vol. 96(2), (2008), pp. 312-334.

Y. Zarhin:
Homomorphisms of abelian varieties over finite fields,
In: Higher-dimensional geometry over finite fields, Eds. D. Kaledin, Yu. Tschinkel, IOS Press, 2008,  pp. 315- 343.

Y. Zarhin:
Endomorphisms of superelliptic jacobians,
Math. Zeitschrift, Vol. 261 (2009), pp. 691-707, 709.