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Journal of the London Mathematical Society 2006 74(2):304-320; doi:10.1112/S0024610706023076
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© The London Mathematical Society 2006

ALBANESE STANDARD AND ALBANESE EXOTIC VARIETIES

Chad Schoen

Department of Mathematics, Duke University Box 90320, Durham, NC 27708-0320, USA schoen{at}math.duke.edu

Received 31 July 2005.

Smooth complete algebraic varieties defined over an algebraically closed field are divided into two classes according to the behaviour of the albanese map. Criteria are given for when a variety belongs to either class. The relationship with the Tate conjecture for abelian varieties is discussed.


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