The variety of complete pairs of zero-dimensional subschemes of an algebraic surface

Izvestiya Mathematics

Volumn 61, Issue 6, 1997, Pages 1265-1291

  Tikhomirov, A S ^a  

^a YAROSLAVL STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748085727     PISSN: 10645632     EISSN: 14684810     Source Type: Journal    
DOI: 10.1070/IM1997v061n06ABEH000169     Document Type: Article

References (17)

1. N. Bourbaki, Éléments de mathématique. Algèbre. Chapitre X: Algèbre homologique, Masson, Paris-New York-Barcelone-Milan 1980; Russian transl., Nauka, Moscow 1987.
2. J. Cheah, The cohomology of smooth nested Hilbert schemes of points, Thesis, Univ. of Chicago 1994.
3. G. Ellingsrud and S. A. Stromme, "On the homology of the Hilbert scheme of points in the plane", Invent. Math. 87 (1987), 343-352.
4. G. Ellingsrud and S. A. Stromme, "On a cell decomposition of the Hilbert scheme of points in the plane", Invent. Math. 91 (1988), 365-370;
5. n x S, Preprint, 1991.
6. J. Fogarty, "Algebraic families on an algebraic surface, II: The Picard scheme of the punctual Hilbert scheme", Amer. J. Math. 95 (1973), 660-687.
7. W. Fulton, Intersection theory, Springer-Verlag, Berlin 1984; Russian transl., Mir, Moscow 1989.
8. R. Hartshorne, Algebraic geometry, Springer-Verlag, New York-Heidelberg-Berlin 1977; Russian transl., Mir, Moscow 1981.
9. A. Hirschowitz, "Rank techniques and jump stratifications", Vector Bundles on Algebraic Varieties, Bombay Colloquium, Univ. Press, Oxford 1984, pp. 195-205.
10. D. Laksov, "Completed quadrics and linear maps", AMS. Proc. Symp. Pure Math. 46 (1987), 371-387.
11. Yu. I. Manin, "Lectures on the K-functor in algebraic geometry", Uspekhi Mat. Nauk 24:5 (1969), 3-86;
12. English transl., Russian Math. Surveys 24:5 (1969), 1-89.
13. H. Matsumura, Commutative Algebra, W. A. Benjamin, New York 1970.
14. D. Mumford, Lectures on curves on an algebraic surface, Princeton University Press, Princeton, N. J. 1966; Russian transl., Mir, Moscow 1968.
15. J. Roberts and R. Speiser, "Schubert's enumerative geometry of triangles from a modern viewpoint", Lecture Notes in Math. 862 (1981), 272-281.
16. A. S. Tikhomirov, "A smooth model for the punctual Hilbert scheme of a surface", Trudy Mat. Inst. Steklov 208 (1995), 318-334;
17. English transl., Proc. Steklov Inst. Math. 208 (1995), 280-295.