Stability of tautological vector bundles on Hilbert squares of surfaces
Rendiconti del Seminario Matematico della Università di Padova, Volume 124 (2010), pp. 127-138.
@article{RSMUP_2010__124__127_0,
     author = {Schlickewei, Ulrich},
     title = {Stability of tautological vector bundles on {Hilbert} squares of surfaces},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {127--138},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {124},
     year = {2010},
     mrnumber = {2752679},
     zbl = {1208.14036},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2010__124__127_0/}
}
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
SP  - 127
EP  - 138
VL  - 124
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_2010__124__127_0/
LA  - en
ID  - RSMUP_2010__124__127_0
ER  - 
%0 Journal Article
%A Schlickewei, Ulrich
%T Stability of tautological vector bundles on Hilbert squares of surfaces
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2010
%P 127-138
%V 124
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_2010__124__127_0/
%G en
%F RSMUP_2010__124__127_0
Schlickewei, Ulrich. Stability of tautological vector bundles on Hilbert squares of surfaces. Rendiconti del Seminario Matematico della Università di Padova, Volume 124 (2010), pp. 127-138. http://archive.numdam.org/item/RSMUP_2010__124__127_0/

[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. | MR | Zbl

[Fo] J. Fogarty, Algebraic families on an algebraic surface, Am. J. Math., 90 (1968), pp. 511--521. | MR | Zbl

[Fu] W. Fulton, Intersection theory, Erg. Math., 3. Folge, Band 2, 2nd ed., Springer (1998). | MR | Zbl

[G] A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J., 9 (1957), pp. 119--221. | MR | Zbl

[GHJ] D. Joyce - D. Huybrechts - M. Gross, Calabi-Yau manifolds and related geometries, Universitext, Springer (2002). | MR | Zbl

[HL] D. Huybrechts - M. Lehn, The geometry of moduli spaces of sheaves, Cambridge Math. Libr., 2nd ed., Cambridge University Press (2010). | MR

[Ma] E. Markman, On the monodromy of moduli spaces of sheaves on K3 surfaces, J. Alg. Geom., 17 (2008), pp. 29--99. | MR | Zbl

[Mi] E. Mistretta, Some constructions around stability of vector bundles on projective varieties, PhD Thesis, Univ. Paris VII (2006).

[Mu] S. Mukai, On the moduli space of bundles on a K3 surface, In: Vector Bundles on Algebraic Varieties, Oxford University Press (1987), pp. 341--413. | MR | Zbl

[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. | MR | Zbl