Restriction of Stable Bundles on an Abelian Surface. The C2 = 2 Case

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
Cristian Anghel
Keyword(s):  
Moduli Space ◽  
Stable Rank ◽  
Abelian Surface ◽  
Restriction Map ◽  
Stable Bundles ◽  
Genus 2 ◽  
Rank 2 ◽  
Dimension 2 ◽  
Rank 2 Bundles

Abstract In this note we describe the restriction map from the moduli space of stable rank 2 bundles with c2 = 2 on a jacobian X of dimension 2, to the moduli space of stable rank 2 bundles on the corresponding genus 2 curve C embedded in X.

STABLE RANK-2 BUNDLES ON CALABI–YAU MANIFOLDS

2003 ◽  
Vol 14 (10) ◽  
pp. 1097-1120 ◽  
Author(s):  
WEI-PING LI ◽  
ZHENBO QIN
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Double Cover ◽  
Stable Rank ◽  
Chern Classes ◽  
Canonical Divisor ◽  
Rank 2 ◽  
Stable Sheaves ◽  
Rank 2 Bundles ◽  
Calabi Yau Manifolds

In this paper, we apply the technique of chamber structures of stability polarizations to construct the full moduli space of rank-2 stable sheaves with certain Chern classes on Calabi–Yau manifolds which are anti-canonical divisor of ℙ1×ℙn or a double cover of ℙ1×ℙn. These moduli spaces are isomorphic to projective spaces. As an application, we compute the holomorphic Casson invariants defined by Donaldson and Thomas.

scholarly journals A note on 1-cycles on the moduli space of rank-2 bundles over a curve

2019 ◽  
Vol 357 (2) ◽  
pp. 209-211
Author(s):  
Duo Li ◽  
Yinbang Lin ◽  
Xuanyu Pan
Keyword(s):  
Moduli Space ◽  
Rank 2 ◽  
Rank 2 Bundles

scholarly journals Construction of Stable Rank 2 Bundles on ℙ3 Via Symplectic Bundles

2019 ◽  
Vol 60 (2) ◽  
pp. 343-358 ◽  
Author(s):  
A. S. Tikhomirov ◽  
S. A. Tikhomirov ◽  
D. A. Vassiliev
Keyword(s):  
Stable Rank ◽  
Rank 2 ◽  
Rank 2 Bundles

Moduli of Rank 2 Stable Bundles and Hecke Curves

2016 ◽  
Vol 59 (4) ◽  
pp. 865-877
Author(s):  
Sarbeswar Pal
Keyword(s):  
Moduli Space ◽  
Vector Bundles ◽  
Short Note ◽  
Equivalence Classes ◽  
Complex Numbers ◽  
Stable Bundles ◽  
Smooth Projective Curve ◽  
Stable Vector Bundles ◽  
Arbitrary Genus ◽  
Rank 2

AbstractLet X be a smooth projective curve of arbitrary genus g > 3 over the complex numbers. In this short note we will show that the moduli space of rank 2 stable vector bundles with determinant isomorphic to Lx , where Lx denotes the line bundle corresponding to a point x ∊ X, is isomorphic to a certain variety of lines in the moduli space of S-equivalence classes of semistable bundles of rank 2 with trivial determinant.

scholarly journals Finding ein components in the moduli spaces of stable rank 2 bundles on the projective 3-space

2016 ◽  
Vol 57 (2) ◽  
pp. 322-329 ◽  
Author(s):  
A. A. Kytmanov ◽  
N. N. Osipov ◽  
S. A. Tikhomirov
Keyword(s):  
Moduli Spaces ◽  
Stable Rank ◽  
Rank 2 ◽  
Rank 2 Bundles

scholarly journals COMPACTIFICATION OF THE PRYM MAP FOR NON-CYCLIC TRIPLE COVERINGS

2013 ◽  
Vol 24 (03) ◽  
pp. 1350015 ◽  
Author(s):  
HERBERT LANGE ◽  
ANGELA ORTEGA
Keyword(s):  
Moduli Space ◽  
Smooth Curve ◽  
Jacobian Variety ◽  
Prym Variety ◽  
Prym Varieties ◽  
Jacobian Varieties ◽  
Genus 2 ◽  
Proper Map ◽  
Dimension 2 ◽  
Prym Map

According to [H. Lange and A. Ortega, Prym varieties of triple coverings, Int. Math. Res. Notices2011(22) (2011) 5045–5075], the Prym variety of any non-cyclic étale triple cover f : Y → X of a smooth curve X of genus 2 is a Jacobian variety of dimension 2. This gives a map from the moduli space of such covers to the moduli space of Jacobian varieties of dimension 2. We extend this map to a proper map Pr of a moduli space [Formula: see text] of admissible S3-covers of genus 7 to the moduli space [Formula: see text] of principally polarized abelian surfaces. The main result is that [Formula: see text] is finite surjective of degree 10.

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