The discriminants of curves of genus 2

Takeshi Saito

Compositio Mathematica (1989)

  • Volume: 69, Issue: 2, page 229-240
  • ISSN: 0010-437X

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Saito, Takeshi. "The discriminants of curves of genus 2." Compositio Mathematica 69.2 (1989): 229-240. <http://eudml.org/doc/89947>.

@article{Saito1989,
author = {Saito, Takeshi},
journal = {Compositio Mathematica},
keywords = {determinant invertible sheaf; discriminants of curves of genus 2},
language = {eng},
number = {2},
pages = {229-240},
publisher = {Kluwer Academic Publishers},
title = {The discriminants of curves of genus 2},
url = {http://eudml.org/doc/89947},
volume = {69},
year = {1989},
}

TY - JOUR
AU - Saito, Takeshi
TI - The discriminants of curves of genus 2
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 69
IS - 2
SP - 229
EP - 240
LA - eng
KW - determinant invertible sheaf; discriminants of curves of genus 2
UR - http://eudml.org/doc/89947
ER -

References

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  1. [B] S. Bloch: Cycles on arithmetic schemes and Euler characteristics of curves, in Bowdoin Conference in Algebraic Geometry, AMS Proc. Symp. Pure Math. 46-2, pp. 421-450, Providence RI (1987). Zbl0654.14004MR927991
  2. [D] P. Deligne: Le discriminant d'une courbe, Appendice 3 à Lettre à Quillen, 20 June (1985). 
  3. [D-M] P. Deligne and D. Mumford: The irreducibility of the space of curves of given genus, Publ. Math. IHES, 36 (1969) 75-109. Zbl0181.48803MR262240
  4. [F] W. Fulton; Intersection Theory, Springer-Verlag, Berlin (1984). Zbl0541.14005MR732620
  5. [I] L. Illusie: Complexe cotangent et déformation I, Springer LNM239Berlin/ Heidelberg/ New York (1971). Zbl0224.13014MR491680
  6. [K-M] F. Knudsen and D. Mumford: The projectivity of the moduli space of stable curves I: Preliminaries on "det" and "div", Math. Scand.39 (1976) 19-55. Zbl0343.14008MR437541
  7. [M] D. Mumford: Toward an enumerative geometry of the moduli space of curves, in Arithmetic and Geometry II, pp. 271-328, Birkhauser, Boston /Basel/ Stuttgart (1983). Zbl0554.14008MR717614
  8. [R] M. Raynaud: Spécialisation du foncteur de Picard, Publ. Math. IHES38 (1970) 27-76. Zbl0207.51602MR282993
  9. [S1] T. Saito: Conductor, discriminant and the Noether formula of arithmetic surfaces, Duke Math. J.57 (1988) 151-173. Zbl0657.14017MR952229
  10. [S2] T. Saito: Self-intersection 0-cycles and coherent sheaves on arithmetic schemes, to appear in Duke Math. J. Zbl0687.14004MR962520
  11. [U] K. Ueno: Discriminants of curves of genus 2 and arithmetic surfaces, preprint (1987). Zbl0707.14025MR977781

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