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One-cusped complex hyperbolic 2-manifolds
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DOI：10.4171/cmh/618.png)
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Abstract
En 中文
This paper builds one-cusped complex hyperbolic 2-manifolds by an explicit geometric construction. Specifically, for each odd d >= 1 there is a smooth projective surface Z(d) with .Zd / Dc(1)(2)(Z(d)) =c(2)(Z(d))= 6d and a smooth irreducible curve E(d )on Z(d) of genus 1 so that Z(d) X E-d admits a finite volume uniformization by the unit ball B- 2 in C-2 . This produces one-cusped complex hyperbolic 2-manifolds of arbitrarily large volume. As a consequence, the 3-dimensional nilmanifold of Euler number 12d bounds geometrically for all odd d >= 1
Keywords:
COMPACTIFICATIONS
4-MANIFOLDS
NUMBER
Journal
C
IF:
1.4
Papers:
18
Citations:
0