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Extremal lengths of homology classes on Riemann surfaces
Published/Copyright:
June 11, 2008
Abstract
We assign a positive number V, a new conformal invariant, to a Riemann surface R of finite genus in terms of the extremal lengths of certain weak homology classes on R, and determine the range of V. In particular we find algebraic relations among the extremal lengths of homology classes on compact Riemann surfaces.
Received: 1997-12-11
Published Online: 2008-06-11
Published in Print: 1999-03-12
© Walter de Gruyter
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Articles in the same Issue
- On nonpositively curved euclidean submanifolds: splitting results II
- Extremal lengths of homology classes on Riemann surfaces
- Addendum and erratum to An absolute Siegel's Lemma
- Is a linear space contained in a submanifold? – On the number of derivatives needed to tell
- Caractères à valeurs dans le centre de Bernstein
- Symplectic cutting of Kähler manifolds
- Automorphism groups of 3-dimensional complex tori
- Invariants of algebraic groups
- Weights of Markov traces on Hecke algebras
- On the proportion of quadratic character twists of L-functions attached to cusp forms not vanishing at the central point
- The Pfaffian closure of an o-minimal structure
- Subvarieties of ℂn with non-extendable automorphisms
