Canonical curves and quadrics of rank 4

Enrico Arbarello; Joseph Harris

Compositio Mathematica (1981)

  • Volume: 43, Issue: 2, page 145-179
  • ISSN: 0010-437X

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Arbarello, Enrico, and Harris, Joseph. "Canonical curves and quadrics of rank 4." Compositio Mathematica 43.2 (1981): 145-179. <http://eudml.org/doc/89495>.

@article{Arbarello1981,
author = {Arbarello, Enrico, Harris, Joseph},
journal = {Compositio Mathematica},
keywords = {canonical curve; projectified tangent cone; quadrics of rank 4; rational normal scrolls},
language = {eng},
number = {2},
pages = {145-179},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Canonical curves and quadrics of rank 4},
url = {http://eudml.org/doc/89495},
volume = {43},
year = {1981},
}

TY - JOUR
AU - Arbarello, Enrico
AU - Harris, Joseph
TI - Canonical curves and quadrics of rank 4
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 43
IS - 2
SP - 145
EP - 179
LA - eng
KW - canonical curve; projectified tangent cone; quadrics of rank 4; rational normal scrolls
UR - http://eudml.org/doc/89495
ER -

References

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  1. [1] A. Andreotti and A. Mayer: On Period Relations for Abelian Integrals on Algebraic curves. Ann. Scuola Norm. Sup. Pisa21 (1967) 189-238. Zbl0222.14024MR220740
  2. [2] G. Castelnuovo, Sulle Superficie Algebriche le cui sezioni piane sono curve iperellittiche. Rend. Palermo IV (1890) 189-202. JFM22.0788.01
  3. [3] J.A. Eagon and M. Hochster: Cohen-Macaulay Rings, invariant theory, and the generic perfection of Determinantal loci, Amer. Jour. of Math.93 (1971) p. 1020-1058. Zbl0244.13012MR302643
  4. [4] G. Griffiths and J. Harris: Principles of Algebraic Geometry. Wiley-Interscience, (1978). Zbl0408.14001MR507725
  5. [5] J. Harris: The geometric genus of projective varieties. Ann. Scu. Norm Pisa, (to appear). Zbl0467.14005
  6. [6] G. Kempf: On the geometry of a Theorem of Riemann. Ann. of Math.98 (1973) 178-185. Zbl0275.14023MR349687
  7. [7] S. Kleiman, and D. Laksov: Another proof of the Existence of Special divisors. Acta Math132 (1974) 163-176. Zbl0286.14005MR357398
  8. [8] K. Petri: Uber die Invariante Darstellung Algebraischer Funktionen einer Veranderlichen. Math. Ann.88 (1922) 242-289. Zbl49.0264.02MR1512130JFM49.0264.02
  9. [9] B. Saint-Donat: Projective models of K-3 surfaces. Amer. Journ. Math.96 (1974) 602-639. Zbl0301.14011MR364263
  10. [10] B. Saint-Donat: On Petri's analysis of the linear system of quadrics through a canonical curve. Math. Ann.206 (1973) 157-175. Zbl0315.14010MR337983
  11. [11] Semple and Roth: Introduction to Algebraic Geometry, Oxford, 1949. Zbl0041.27903MR34048

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