Irreducibility of the punctual quotient scheme of a surface

Arkiv for Matematik

Volumn 37, Issue 2, 1999, Pages 245-254

  Ellingsrud, Geir ^a   Lehn, Manfred ^b  

^a UNIVERSITY OF OSLO   (Norway)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007182827     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02412213     Document Type: Article

References (9)

1. BARANOVSKY, V., On punctual quot schemes for algebraic surfaces, E-print, math. AG/9703038.
2. nC{z, y}, Invent. Math. 41 (1977), 45-89.
3. IARROBINO, A., Reducibility of the families of 0-dimensional schemes on a variety, Invent. Math. 15 (1972), 72-77.
4. IARROBINO, A., Punctual Hilbert schemes, Mem. Amer. Math. Soc. 10:188 (1977).
5. ELLINGSRUD, G. and STRØMME, S. A., An intersection number for the punctual Hilbert scheme, Trans. Amer. Math. Soc. 350 (1998), 2547-2552.
6. FOGARTY, J., Algebraic families on an algebraic surface, Amer. J. Math. 90 (1968), 511-521.
7. GIESEKER, D. and LI, J., Moduli of high rank vector bundles over surfaces, J. Amer. Math. Soc. 9 (1996), 107-151.
8. GROTHENDIECK, A., Techniques de construction et théorèmes d'existence en géométrie algébrique IV: Les schémas de Hilbert, in Séminaire Bourbaki Volume 1960/1961, Exposé 221, pp. 249-276, Benjamin, New York-Amsterdam, 1966.
9. LI, J., Algebraic geometric interpretation of Donaldson's polynomial invariants, J. Differential Geom. 37 (1993), 417-466.