English

Symplectic modular symbols

Number Theory 2007-05-23 v2

Abstract

Let K be a number field with euclidean ring of integers O. Let G be a finite-index torsion-free subgroup of Sp(2n, O). We exhibit a finite, geometrically defined spanning set of the top dimensional integral cohomology of G by generalizing the modular symbol algorithm of Ash and Rudolph.

Keywords

Cite

@article{arxiv.math/9809059,
  title  = {Symplectic modular symbols},
  author = {Paul E. Gunnells},
  journal= {arXiv preprint arXiv:math/9809059},
  year   = {2007}
}

Comments

21 pages, 8 figures, AMS-LaTeX, uses psfrag.sty, incorporates referee's comments