Basics on families of hyperelliptic curves

Knud Lønsted; Steven L. Kleiman

Compositio Mathematica (1979)

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

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Lønsted, Knud, and Kleiman, Steven L.. "Basics on families of hyperelliptic curves." Compositio Mathematica 38.1 (1979): 83-111. <http://eudml.org/doc/89397>.

@article{Lønsted1979,
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 = {http://eudml.org/doc/89397},
volume = {38},
year = {1979},
}

TY - JOUR
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 - http://eudml.org/doc/89397
ER -

References

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  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

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