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Rational curves on quotients of abelian varieties by finite groups
- Authors
- Im, Bo-Hae; Larsen, Michael
- Issue Date
- 2015
- Publisher
- INT PRESS BOSTON, INC
- Citation
- MATHEMATICAL RESEARCH LETTERS, v.22, no.4, pp 1145 - 1157
- Pages
- 13
- Journal Title
- MATHEMATICAL RESEARCH LETTERS
- Volume
- 22
- Number
- 4
- Start Page
- 1145
- End Page
- 1157
- ISSN
- 1073-2780
1945-001X
- Abstract
- In [4], it is proved that the quotient of an abelian variety A by a finite order automorphism g is uniruled if and only if some power of g satisfies a numerical condition 0 < age(g(k)) < 1. In this paper, we show that age(g(k)) = 1 is enough to guarantee that A/< g > has at least one rational curve.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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