Author: Schoen, Chad

Source: Quarterly Journal of Mathematics, Volume 57, Number 4, December 2006 , pp. 539-554(16)

Publisher: Oxford University Press

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.

Document Type: Research article

DOI: http://dx.doi.org/10.1093/qmath/hal004

Publication date: 2006-12-01

More about this publication?

• The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. Areas such as algebra, differential geometry, and global analysis receive particular emphasis. However the journal avoids specialization.

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