Fermat covers, fermat hypersurfaces and abelian varieties of fermat type

Albanese maps for smooth projective models of a class of Abelian covers of projective space branched along particular hyperplane arrangements are studied. In some cases it is shown that the image of the Albanese map gives a cycle in the Albanese variety which is not numerically equivalent to a linear combination of intersections of divisors. Smooth projective varieties with this property are said to be Albanese exotic. Few concrete examples of such varieties are known. © 2006. Published by Oxford University Press. All rights reserved.

Duke Scholars

Author Chadmark L. Schoen Mathematics