Skip to main content

Part of the book series: NATO Science Series ((NAII,volume 237))

  • 2139 Accesses

Abstract

One of the themes of the summer school is the distribution of “special points” on varieties. In Heath-Brown’s lectures we study rational points on projective hyper-surfaces; in Ullmo’s course we study Galois orbits and Duke’s lectures deal with CM-points on the modular curve. This lecture concerns one of the earliest examples, namely torsion points on group varieties.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Conway, J. H. and Jones, A. J. (1976) Trigonometric diophantine equations on vanishing sums of roots of unity, Acta Arith. 30, 229–240.

    MATH  MathSciNet  Google Scholar 

  • Lang, S. (1965) Division points on curves, Ann. Mat. Pura Appl. (4) 70, 229–234.

    Article  MATH  MathSciNet  Google Scholar 

  • Lenstra, Jr., H. W. (1979) Vanishing sums of roots of unity, In Proc. Bicentennial Congress Wiskundig Genootschap, Vol. 101 of Math. Centre Tracts, Vrije Univ. Amsterdam, 1978, pp. 249–268, Math. Centrum, Amsterdam.

    Google Scholar 

  • Strombergsson, A. and Venkatesh, A. (2005) Small solutions to linear congruences and Hecke equidistribution, Acta Arith. 118, 41–78.

    Article  MathSciNet  Google Scholar 

  • Tzermias, P. (2000) The Manin—Mumford conjecture: a brief survey, Bull. London Math. Soc. 32, 641–652.

    Article  MATH  MathSciNet  Google Scholar 

  • Ullmo, E. (2006) Manin—Mumford, André—Oort, the equidistribution point of view, in this book.

    Google Scholar 

  • Venkatesh, A. (2006) Spectral theory of automorphic forms: a very brief introduction, in this book.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer

About this paper

Cite this paper

Granville, A., Rudnick, Z. (2007). TORSION POINTS ON CURVES. In: Granville, A., Rudnick, Z. (eds) Equidistribution in Number Theory, An Introduction. NATO Science Series, vol 237. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5404-4_5

Download citation

Publish with us

Policies and ethics