Deformation of Hilbert schemes of points on a surface
Compositio Mathematica (1995)
- Volume: 98, Issue: 2, page 205-217
- ISSN: 0010-437X
Access Full Article
topHow to cite
topFantechi, Barbara. "Deformation of Hilbert schemes of points on a surface." Compositio Mathematica 98.2 (1995): 205-217. <http://eudml.org/doc/90402>.
@article{Fantechi1995,
author = {Fantechi, Barbara},
journal = {Compositio Mathematica},
keywords = {Hilbert schemes of points; -fold symmetric product of projective surface; deformation theory},
language = {eng},
number = {2},
pages = {205-217},
publisher = {Kluwer Academic Publishers},
title = {Deformation of Hilbert schemes of points on a surface},
url = {http://eudml.org/doc/90402},
volume = {98},
year = {1995},
}
TY - JOUR
AU - Fantechi, Barbara
TI - Deformation of Hilbert schemes of points on a surface
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 98
IS - 2
SP - 205
EP - 217
LA - eng
KW - Hilbert schemes of points; -fold symmetric product of projective surface; deformation theory
UR - http://eudml.org/doc/90402
ER -
References
top- [B] Beauville, A., 1983, Variétés Kähleriennes dont la première classe de Chern est nulle, J. Diff. Geom.18, 755-782. Zbl0537.53056MR730926
- [Br] Brieskorn, E., 1966, Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen, Math. Ann.166, 76-102. Zbl0145.09402MR206973
- [B-W] Bums, D.M. and Wahl, J.M., 1974, Local Contributions to Global Deformations of Surfaces, Invent. Math.26, 67-88. Zbl0288.14010MR349675
- [C1] Catanese, F., 1988, Moduli of Algebraic Surfaces, in Theory of Moduli, LNM1337 (ed. E. Semesi), Springer, Berlin-Heidelberg - New York. Zbl0658.14017MR963062
- [C2] Catanese, F., 1989, Everywhere non-reduced moduli spaces, Invent. Math.98, 293-310. Zbl0701.14039MR1016266
- [F1] Fantechi, B., 1993, Deformations of symmetric products of curves, to appear in: Proceedings the conference 'Classification of Algebraic Varieties', L'Aquila May 1992 (ed. L. Livorni), Contemporary Mathematics, AMS. Zbl0826.14018MR1272697
- [F2] Fantechi, B., Thesis, in preparation.
- [Fu] Fujiki, A., 1983, On Primitively Symplectic Compact Kähler V-manifolds of Dimension four, in Classification of Algebraic and Analytic Manifolds, Katata1982 (ed. K. Ueno), Birkhäuser, Boston-Basel- Stuttgart, 71-250. Zbl0549.32018MR728609
- [G-K] Greuel, G.-M. and Karras, U., 1989, Families of varieties with prescribed singularities, Comp. Math.69, 83-110. Zbl0684.32015MR986814
- [Gr] Grothendieck, A., 1967, Local Cohomology, LNM41, Springer, Berlin-Heidelberg- New York. Zbl0185.49202MR224620
- [Ha] Hartshorne, R., 1977, Algebraic Geometry, GTM52, Springer, Berlin-Heidelberg-New York. Zbl0367.14001MR463157
- [Ka] Kaplanski, I., 1974, Commutative Rings, The University of Chicago Press, Chicago and London. Zbl0296.13001MR345945
- [Ke] Kempf, G., 1980, Deformations of symmetric products, in Riemann Surfaces and Related Topics, Ann. Math. Studies97, 319-341. Zbl0465.14013MR624823
- [Kw] Kawamata, Y., 1992, Unobstructed deformations - a remark on a paper of Z. Ran, J. Alg. Geom.1, 183-190. Zbl0818.14004MR1144434
- [R1] Ran, Z., 1991, Stability for certain holomorphic maps, J. Diff. Geom.34, 37-47. Zbl0755.32017MR1114451
- [R2] Ran, Z., 1992, Deformations of manifolds with torsion or negative canonical bundle, J. Alg. Geom.1, 279-291. Zbl0818.14003MR1144440
- [Sai] Saito, M.-H., 1988, New examples of obstructed complex manifolds in higher dimension, Max-Planck-Institut preprint. MR1000123
- [Schl] Schlessinger, M., 1971, Rigidity of Quotient Singularities, Invent. Math.14, 17-26. Zbl0232.14005MR292830
- [St] Steenbrink, J.H.M., 1977, Mixed Hodge structure in the vanishing cohomology, in Real and complex singularities, Oslo1976 (ed. P. Holm), Sijthoff and Noordhoff, Alphen aan den Rijn, 535-563. Zbl0373.14007MR485870
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.