# Modules of finite length and $K$-groups of surface singularities

Compositio Mathematica (1986)

- Volume: 59, Issue: 1, page 21-40
- ISSN: 0010-437X

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topLevine, Marc. "Modules of finite length and $K$-groups of surface singularities." Compositio Mathematica 59.1 (1986): 21-40. <http://eudml.org/doc/89778>.

@article{Levine1986,

author = {Levine, Marc},

journal = {Compositio Mathematica},

keywords = {normal quasiprojective surface; ; resolution of singularities},

language = {eng},

number = {1},

pages = {21-40},

publisher = {Martinus Nijhoff Publishers},

title = {Modules of finite length and $K$-groups of surface singularities},

url = {http://eudml.org/doc/89778},

volume = {59},

year = {1986},

}

TY - JOUR

AU - Levine, Marc

TI - Modules of finite length and $K$-groups of surface singularities

JO - Compositio Mathematica

PY - 1986

PB - Martinus Nijhoff Publishers

VL - 59

IS - 1

SP - 21

EP - 40

LA - eng

KW - normal quasiprojective surface; ; resolution of singularities

UR - http://eudml.org/doc/89778

ER -

## References

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- [C] A. Collino: Quillen's K-theory and algebraic cycles on almost non-singular varieties. Ill. J. Math.4 (1981) 654-666. Zbl0496.14005MR630843
- [CS] K. Coombes and V. Srinivas: Relative K-theory and vector bundles on certain singular varieties. Inv. Math.70 (1982) 1-12. Zbl0507.14014MR679769
- [G] D. Grayson: Higher algebraic K-theory: II (after D. Quillen)LNM No. 551. Springer-Verlag, 1976. Zbl0362.18015MR574096
- [L] M. Levine: Bloch's formula for singular surfaces. Topology24 No. 2 (1985) 165-174. Zbl0598.14009MR793182
- [LS] M. Levine and V. Srinivas: Zero-cycles on certain singular elliptic surfaces. Comp. Math.52 (1984) 179-196. Zbl0603.14005MR750354
- [MK] N. Mohan Kumar: Rational double points on a rational surface. Invent. Math.82 (1981). Zbl0478.14026MR641130
- [MM] N. Mohan Kumar and M.P. Murthy: Curves with negative selfintersection on a rational surface. J. Math. Kyoto Univ.22 (1982/83) No. 4767-777. Zbl0509.14033MR685529
- [PW] C. Pedrini and C. Weibel: K-theory and Chow groups on singular varieties (preprint). Zbl0607.14002MR862641
- [M] J. Milnor: Introduction to Algebraic K-theory. Annals of Math. Studies72, Princeton U. Press (1971). Zbl0237.18005MR349811
- [MS] M.P. Murthy and R. Swan: Vector bundles over affine surfaces. Inv. Math.36 (1976) 125-165. Zbl0362.14006MR439842
- [S] J.P. Serre: Sur les modules projectif. Sem. P. Dubreuill, Univ. Paris No. 2 (1960/61). Zbl0132.41301
- [Sr] V. Srinivas: Vector bundles on the cone over a curve, Comp. Math.47 (1982) 249-269. Zbl0512.14010MR681609
- [Sr2] V. Srinivas: Zero-cycles on a singular surface, II. Zbl0603.14007

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