Basics on families of hyperelliptic curves

Knud Lønsted; Steven L. Kleiman

Compositio Mathematica (1979)

  • Volume: 38, Issue: 1, page 83-111
  • ISSN: 0010-437X

How to cite


Lønsted, Knud, and Kleiman, Steven L.. "Basics on families of hyperelliptic curves." Compositio Mathematica 38.1 (1979): 83-111. <>.

author = {Lønsted, Knud, Kleiman, Steven L.},
journal = {Compositio Mathematica},
keywords = {smooth families of curves; construction of moduli; spaces for hyperelliptic curves; Weierstrass subscheme; Weierstrass sections},
language = {eng},
number = {1},
pages = {83-111},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Basics on families of hyperelliptic curves},
url = {},
volume = {38},
year = {1979},

AU - Lønsted, Knud
AU - Kleiman, Steven L.
TI - Basics on families of hyperelliptic curves
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 1
SP - 83
EP - 111
LA - eng
KW - smooth families of curves; construction of moduli; spaces for hyperelliptic curves; Weierstrass subscheme; Weierstrass sections
UR -
ER -


  1. [1] E. Artin: Algebraic numbers and Algebraic functions, Nelson, London, 1968. Zbl0194.35301MR237460
  2. [2] A. Ogus and G. Bergman: Nakayama's Lemma for half-exact Functors. Proc. Amer. Math. Soc.31 (1972) 67-74. Zbl0206.33201MR302633
  3. [3] P. Deligne and D. Mumford: The irreducibility of the space of curves of given genus. Publ. Math. de l'I.H.E.S.36 (1969) 75-110. Zbl0181.48803MR262240
  4. [4] P.M. Eakin, JR: The Converse to a Well Known Theorem on Noetherian Rings. Math. Ann.177 (1968) 278-282. Zbl0155.07903MR225767
  5. [5] A. Grothendieck: Séminaire de Géométrie Algébrique 1960-61. I.H.E.S., Lecture Notes in Math. 224. Springer-Verlag, 1971. Zbl0234.14002
  6. [6] A. Grothendieck and J. Diedonne: Eléments de Géometrie Algébrique, Chap. I-IV, Publ. Math. del'I.H.E.S.4, 8, ..., 32. 
  7. [7] K. Lønsted: The hyperelliptic locus with special reference to characteristic two. Math. Ann.222 (1976) 55-61. Zbl0314.14009MR407030
  8. [8] D. Mumford: Lectures on curves on an algebraic surface. Annals of Math. Studies59, Princeton University Press, 1966. Zbl0187.42701MR209285
  9. [9] D. Mumford: Abelian Varieties, Oxford University Press, 1970. Zbl0223.14022MR282985
  10. [10] M. Nagata: A type of subrings of a noetherian ring. J. Math. Kyoto8 (1968) 465-467. Zbl0184.06701MR236162
  11. [11] F. Oort: Hyperelliptic curves over number fields, in Classification of algebraic varieties and compact complex manifolds. Lecture Notes in Math. 412. Springer-Verlag, 1974. Zbl0299.14017MR354676
  12. [12] J.-P. Serre: Corps locaux. Hermann, Paris, 1960. Zbl0137.02601MR354618
  13. [13] J.-P. Serre: Groupes algébriques et corps de classes. Hermann, Paris1959. Zbl0097.35604

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.