Stability of tautological vector bundles on Hilbert squares of surfaces

Ulrich Schlickewei

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 124, page 127-138
  • ISSN: 0041-8994

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Schlickewei, Ulrich. "Stability of tautological vector bundles on Hilbert squares of surfaces." Rendiconti del Seminario Matematico della Università di Padova 124 (2010): 127-138. <http://eudml.org/doc/241330>.

@article{Schlickewei2010,
author = {Schlickewei, Ulrich},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Hilbert scheme; stable vector bundle},
language = {eng},
pages = {127-138},
publisher = {Seminario Matematico of the University of Padua},
title = {Stability of tautological vector bundles on Hilbert squares of surfaces},
url = {http://eudml.org/doc/241330},
volume = {124},
year = {2010},
}

TY - JOUR
AU - Schlickewei, Ulrich
TI - Stability of tautological vector bundles on Hilbert squares of surfaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 124
SP - 127
EP - 138
LA - eng
KW - Hilbert scheme; stable vector bundle
UR - http://eudml.org/doc/241330
ER -

References

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  1. [D] G. Danila, Sur la cohomologie d'un fibré tautologique sur le schéma de Hilbert d'une surface, J. Alg. Geom., 10 (2001), pp. 247--280. Zbl0988.14011MR1811556
  2. [Fo] J. Fogarty, Algebraic families on an algebraic surface, Am. J. Math., 90 (1968), pp. 511--521. Zbl0176.18401MR237496
  3. [Fu] W. Fulton, Intersection theory, Erg. Math., 3. Folge, Band 2, 2nd ed., Springer (1998). Zbl0541.14005MR1644323
  4. [G] A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J., 9 (1957), pp. 119--221. Zbl0118.26104MR102537
  5. [GHJ] D. Joyce - D. Huybrechts - M. Gross, Calabi-Yau manifolds and related geometries, Universitext, Springer (2002). Zbl1001.00028MR1963559
  6. [HL] D. Huybrechts - M. Lehn, The geometry of moduli spaces of sheaves, Cambridge Math. Libr., 2nd ed., Cambridge University Press (2010). Zbl1206.14027MR2665168
  7. [Ma] E. Markman, On the monodromy of moduli spaces of sheaves on K 3 surfaces, J. Alg. Geom., 17 (2008), pp. 29--99. Zbl1185.14015MR2357680
  8. [Mi] E. Mistretta, Some constructions around stability of vector bundles on projective varieties, PhD Thesis, Univ. Paris VII (2006). 
  9. [Mu] S. Mukai, On the moduli space of bundles on a K 3 surface, In: Vector Bundles on Algebraic Varieties, Oxford University Press (1987), pp. 341--413. Zbl0674.14023MR893604
  10. [OG] K. O'Grady, The weight two Hodge structure of moduli spaces of sheaves on a K3 surface, J. Alg. Geom., 4 (1997), pp. 599--644. Zbl0916.14018MR1487228

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