Orbifold-Hodge numbers of Hilbert schemes

Lothar Göttsche

Banach Center Publications (1996)

  • Volume: 36, Issue: 1, page 83-87
  • ISSN: 0137-6934

How to cite

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Göttsche, Lothar. "Orbifold-Hodge numbers of Hilbert schemes." Banach Center Publications 36.1 (1996): 83-87. <http://eudml.org/doc/208585>.

@article{Göttsche1996,
author = {Göttsche, Lothar},
journal = {Banach Center Publications},
keywords = {action of finite group; orbifold Euler number; Kähler manifold; Moishezon manifold; orbifold Hodge polynomial},
language = {eng},
number = {1},
pages = {83-87},
title = {Orbifold-Hodge numbers of Hilbert schemes},
url = {http://eudml.org/doc/208585},
volume = {36},
year = {1996},
}

TY - JOUR
AU - Göttsche, Lothar
TI - Orbifold-Hodge numbers of Hilbert schemes
JO - Banach Center Publications
PY - 1996
VL - 36
IS - 1
SP - 83
EP - 87
LA - eng
KW - action of finite group; orbifold Euler number; Kähler manifold; Moishezon manifold; orbifold Hodge polynomial
UR - http://eudml.org/doc/208585
ER -

References

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  1. [B-D] V. V. Batyrev and D. Dais, Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry, preprint 1994. Zbl0864.14022
  2. [Be] A. Beauville, Variétés kähleriennes dont la première classe de Chern est nulle, J. Differential Geom. 18 (1983), 755-782. Zbl0537.53056
  3. [D*1] L. Dixon, J. Harvey, C. Vafa and E. Witten, Strings on orbifolds I, Nuclear Phys. B 261 (1985), 678-686. 
  4. [D*2] L. Dixon, J. Harvey, C. Vafa and E. Witten, Strings on orbifolds II, Nuclear Phys. B 274 (1985), 285-314. 
  5. [Fo1] J. Fogarty, Algebraic families on an algebraic surface, Amer. J. Math. 10 (1968), 511-521. Zbl0176.18401
  6. [Fo2] J. Fogarty, Algebraic families on an algebraic surface II, Picard scheme of the punctual Hilbert scheme, Amer. J. Math. 96 (1974), 660-687. Zbl0299.14020
  7. [Gö1] L. Göttsche, The Betti numbers of the Hilbert schemes of points on a smooth projective surface, Math. Ann. 286 (1990), 193-207. Zbl0679.14007
  8. [Gö2] L. Göttsche, Hilbert schemes of zero-dimensional subschemes of smooth varieties, Lecture Notes in Math. 1572, Springer Verlag, Berlin, Heidelberg, New York, 1994. Zbl0814.14004
  9. [G-S] L. Göttsche and W. Soergel, Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces, Math. Ann. 296 (1993), 235-245. Zbl0789.14002
  10. [H-H] F. Hirzebruch and T. Höfer, On the Euler number of an orbifold, Math. Ann. 286 (1990), 255-260. Zbl0679.14006
  11. [Re] M. Reid, The MacKay correspondence and the physicists' Euler number, Lecture notes given at Univ. of Utah and at MSRI 1992. 
  12. [Ro] S.-S. Roan, Orbifold Euler characteristic, Inst. of Math. Acad. Sinica, preprint 1993. 
  13. [V] C. Vafa, Sting vacua and orbifoldized LG Models, Modern Phys. Lett. A 4 (1989), 1169-1185. 
  14. [Z] E. Zaslow Topological orbifold models and quantum cohomology rings, Comm. Math. Phys. 105 (1993), 306-331. 

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