Publications [#296288] of Chad L. Schoen

Papers Published

1. Schoen, C, Fermat covers, fermat hypersurfaces and abelian varieties of fermat type, Quarterly Journal of Mathematics, vol. 57 no. 4 (December, 2006), pp. 539-554, Oxford University Press (OUP), ISSN 0033-5606 [doi]
   (last updated on 2026/01/14)

   Abstract:
   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.