Zero cycles on certain singular elliptic surfaces

Marc N. Levine; V. Srinivas

Compositio Mathematica (1984)

  • Volume: 52, Issue: 2, page 179-196
  • ISSN: 0010-437X

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Levine, Marc N., and Srinivas, V.. "Zero cycles on certain singular elliptic surfaces." Compositio Mathematica 52.2 (1984): 179-196. <http://eudml.org/doc/89658>.

@article{Levine1984,
author = {Levine, Marc N., Srinivas, V.},
journal = {Compositio Mathematica},
keywords = {Chow groups; zero-zycles; Abel morphism; singular projective surface; Grothendieck group},
language = {eng},
number = {2},
pages = {179-196},
publisher = {Martinus Nijhoff Publishers},
title = {Zero cycles on certain singular elliptic surfaces},
url = {http://eudml.org/doc/89658},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Levine, Marc N.
AU - Srinivas, V.
TI - Zero cycles on certain singular elliptic surfaces
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 2
SP - 179
EP - 196
LA - eng
KW - Chow groups; zero-zycles; Abel morphism; singular projective surface; Grothendieck group
UR - http://eudml.org/doc/89658
ER -

References

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  2. [2] S. Bloch, D. Kas and D. Lieberman, Zero-cycles on surfaces with pg = 0, Comp. Math.33 (1976) 135-145. Zbl0337.14006MR435073
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  4. [4] R. Hartshorne, Algebraic Geometry, GTM No. 52New York: Springer-Verlag (1977). Zbl0367.14001MR463157
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  7. [7] K. Kodaira, Collected works III, Princeton: Princeton Univ. Press (1970). Zbl0315.01027
  8. [8] J.S. Milne, Zero cycles on algebraic varieties in nonzero characteristic: Rojtman's theorem, Comp. Math.47 (1982) 271-287. Zbl0506.14006MR681610
  9. [9] M. Miyanishi and T. Sugie, Affine surfaces containing a cylinder-like open set, J. Math. Kyoto Univ.20 (1980) 11-42. Zbl0445.14017MR564667
  10. [10] M. Mohan Kumar, Rational double points on a rational surface, Invent. Math.82 (1981). Zbl0478.14026MR641130
  11. [11] D. Mumford, Abelian Varieties. London: Oxford Univ. Press (1970). Zbl0223.14022MR282985
  12. [12] M.P. Murthy and N. Mohan Kumar, Curves with negative self intersection on a rational surface (to appear). Zbl0509.14033
  13. [13] M.P. Murthy and R.G. Swan, Vector bundles over affine surfaces, Invent. Math.36 (1976) 125-165. Zbl0362.14006MR439842
  14. [14] M. Ojanguren, Fibrati vettoriai sulle superfici cubischeArchiv Math.30 (1978) 143-145. Zbl0385.14003MR480512
  15. [15] A.A. Roitman, The torsion of the group of zero cycles modulo rational equivalence, Ann. Math.111(3) (1980) 553-570. Zbl0504.14006MR577137
  16. [16] K.P. Russell, On affine ruled rational surfaces, J. Pure Appl. Alg.23 (1982) 243-250. Zbl0438.14024MR615851
  17. [17] V. Srinivas, Infinite dimensionality of the Chow group of zero cycles on a normal surface with H2(X, OX) ≠ 0" (to appear). 

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