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The Michigan Mathematical Journal

Chow motive of Fulton-MacPherson configuration spaces and wonderful compactifications

Li Li

Source: Michigan Math. J. Volume 58, Issue 2 (2009), 565-598.

Primary Subjects: 14C15
Secondary Subjects: 14N20

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Permanent link to this document: http://projecteuclid.org/euclid.mmj/1250169077
Digital Object Identifier: doi:10.1307/mmj/1250169077

References

M. Atiyah and I. Macdonald, Introduction to commutative algebra, Addison-Wesley, Reading, MA, 1969.
Mathematical Reviews (MathSciNet): MR242802
A. Corti and M. Hanamura, Motivic decomposition and intersection Chow groups. I, Duke Math. J. 103 (2000), 459--522.
Mathematical Reviews (MathSciNet): MR1763656
Zentralblatt MATH: 1052.14504
Digital Object Identifier: doi:10.1215/S0012-7094-00-10334-1
Project Euclid: euclid.dmj/1092749485
C. De Concini and C. Procesi, Wonderful models of subspace arrangements, Selecta Math. (N.S.) 1 (1995), 459--494.
Mathematical Reviews (MathSciNet): MR1366622
Zentralblatt MATH: 0842.14038
Digital Object Identifier: doi:10.1007/BF01589496
S. del Baño and V. Navarro, On the motive of a quotient variety, Collect. Math. 49 (1998), 203--226.
Mathematical Reviews (MathSciNet): MR1677089
W. Fulton, Intersection theory, 2nd ed., Ergeb. Math. Grenzgeb. (3), 2, Springer-Verlag, Berlin, 1998.
Mathematical Reviews (MathSciNet): MR1644323
W. Fulton and R. MacPherson, A compactification of configuration spaces, Ann. of Math. (2) 139 (1994), 183--225.
Mathematical Reviews (MathSciNet): MR1259368
Zentralblatt MATH: 0820.14037
Digital Object Identifier: doi:10.2307/2946631
R. Hartshorne, Algebraic geometry, Grad. Texts in Math., 52, Springer-Verlag, New York, 1977.
Mathematical Reviews (MathSciNet): MR463157
Y. Hu, A compactification of open varieties, Trans. Amer. Math. Soc. 355 (2003), 4737--4753.
Mathematical Reviews (MathSciNet): MR1997581
Zentralblatt MATH: 1083.14004
Digital Object Identifier: doi:10.1090/S0002-9947-03-03247-1
JSTOR: links.jstor.org
M. Kapranov, Chow quotients of Grassmannians, I. I. M. Gel'fand seminar, Adv. Soviet Math., 16, part 2, pp. 29--110, Amer. Math. Soc., Providence, RI, 1993.
Mathematical Reviews (MathSciNet): MR1237834
Zentralblatt MATH: 0811.14043
S. Keel, Intersection theory of moduli space of stable $n$-pointed curves of genus zero, Trans. Amer. Math. Soc. 330 (1992), 545--574.
Mathematical Reviews (MathSciNet): MR1034665
Zentralblatt MATH: 0768.14002
Digital Object Identifier: doi:10.2307/2153922
JSTOR: links.jstor.org
------, Intersection theory of linear embeddings, Trans. Amer. Math. Soc. 335 (1993), 195--212.
Mathematical Reviews (MathSciNet): MR1040263
Zentralblatt MATH: 0793.14004
Digital Object Identifier: doi:10.2307/2154264
G. Kuperberg and D. Thurston, Perturbative 3-manifold invariants by cut-and-paste topology, preprint, math.GT/9912167.
L. Li, Wonderful compactifications of arrangements of subvarieties, Michigan Math. J. 58 (2009), 535--563.
R. MacPherson and C. Procesi, Making conical compactifications wonderful, Selecta Math. (N.S.) 4 (1998), 125--139.
Mathematical Reviews (MathSciNet): MR1623714
Zentralblatt MATH: 0934.32014
Digital Object Identifier: doi:10.1007/s000290050027
J. I. Manin, Correspondences, motifs and monoidal transformations, Math. USSR-Sb. 6 (1968), 439--470.
Mathematical Reviews (MathSciNet): MR258836
R. P. Stanley, Enumerative combinatorics, vol. 2, Cambridge Stud. Adv. Math., 62, Cambridge Univ. Press, Cambridge, 1999.
Mathematical Reviews (MathSciNet): MR1676282
D. Thurston, Integral expressions for the Vassiliev knot invariants, preprint, math.AG/9901110.
A. Ulyanov, Polydiagonal compactification of configuration spaces, J. Algebraic Geom. 11 (2002), 129--159.
Mathematical Reviews (MathSciNet): MR1865916
Zentralblatt MATH: 1050.14051
C. Voisin, Hodge theory and complex algebraic geometry, vol. II (L. Schneps, transl.), Cambridge Stud. Adv. Math., 77, Cambridge Univ. Press, Cambridge, 2003.
Mathematical Reviews (MathSciNet): MR1997577

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