scholarly journals Poincaré polynomials of moduli spaces of stable bundles over curves

2009 ◽  
Vol 131 (1-2) ◽  
pp. 63-86 ◽  
Author(s):  
Sergey Mozgovoy
Keyword(s):  
Moduli Spaces ◽  
Stable Bundles

scholarly journals Moduli spaces of stable vector bundles on Enriques surfaces

1998 ◽  
Vol 150 ◽  
pp. 85-94 ◽  
Author(s):  
Hoil Kim
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Vector Bundles ◽  
K3 Surface ◽  
Enriques Surface ◽  
Stable Bundles ◽  
Stable Vector Bundles ◽  
Enriques Surfaces

Abstract.We show that the image of the moduli space of stable bundles on an Enriques surface by the pull back map is a Lagrangian subvariety in the moduli space of stable bundles, which is a symplectic variety, on the covering K3 surface. We also describe singularities and some other features of it.

On moduli spaces for stable bundles on quadrics

1997 ◽  
Vol 62 (6) ◽  
pp. 707-725 ◽  
Author(s):  
S. A. Kuleshov
Keyword(s):  
Moduli Spaces ◽  
Stable Bundles

scholarly journals Rationality of moduli spaces of stable bundles

1980 ◽  
Vol 249 (3) ◽  
pp. 281-282 ◽  
Author(s):  
P. E. Newstead
Keyword(s):  
Moduli Spaces ◽  
Stable Bundles

Rationality of moduli spaces of stable bundles

1975 ◽  
Vol 215 (3) ◽  
pp. 251-268 ◽  
Author(s):  
P. E. Newstead
Keyword(s):  
Moduli Spaces ◽  
Stable Bundles

scholarly journals Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles

1996 ◽  
Vol 120 (2) ◽  
pp. 255-261 ◽  
Author(s):  
Ugo Bruzzo ◽  
Antony Maciocia
Keyword(s):  
Moduli Spaces ◽  
Wide Class ◽  
Vector Bundles ◽  
K3 Surfaces ◽  
Hilbert Schemes ◽  
Stable Bundles ◽  
Stable Vector Bundles

AbstractBy using a Fourier-Mukai transform for sheaves on K3 surfaces we show that for a wide class of K3 surfaces X the Hilbert schemes Hilbn(X) can be identified for all n ≥ 1 with moduli spaces of Gieseker stable vector bundles on X. We also introduce a new Fourier-Mukai type transform for such surfaces.

MODULI SPACES OF STABLE BUNDLES ON K3 FIBERED CALABI–YAU THREEFOLDS

2003 ◽  
Vol 05 (01) ◽  
pp. 119-126 ◽  
Author(s):  
TOHRU NAKASHIMA
Keyword(s):  
Moduli Spaces ◽  
Projective Spaces ◽  
Stable Rank ◽  
Stable Bundles ◽  
Irreducible Components

In this paper we study stable rank two bundles on a Calabi–Yau threefold. For hypersurfaces in a ℙ3-bundle over ℙ1, we show that their moduli spaces have irreducible components which are birational to projective spaces.

scholarly journals Moduli spaces of the stable vector bundles over abelian surfaces

1980 ◽  
Vol 77 ◽  
pp. 47-60 ◽  
Author(s):  
Hiroshi Umemura
Keyword(s):  
Line Bundle ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Vector Bundles ◽  
Ample Line Bundle ◽  
Abelian Surfaces ◽  
Singular Variety ◽  
Stable Bundles ◽  
Stable Vector Bundles ◽  
Closed Subvariety

Let X be a projective non-singular variety and H an ample line bundle on X. The moduli space of H-stable vector bundles exists by Maruyama [4]. If X is a curve defined over C, the structure of the moduli space (or its compactification) M(X, d, r) of stable vector bundles of degree d and rank r on X is studied in detail. It is known that the variety M(X, d, r) is irreducible. Let L be a line bundle of degree d and let M(X, L, r) denote the closed subvariety of M(X, d, r) consisting of all the stable bundles E with det E = L.

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