On Pryms, Rank 2 Bundles and Nonabelian Theta Functions

1997 ◽  
Vol 08 (02) ◽  
pp. 267-287
Author(s):  
Christian Pauly
Keyword(s):  
Theta Functions ◽  
Rank 2 ◽  
Rank 2 Bundles

scholarly journals Determinant Surfaces of Rank 2 Bundles on $\mathbf{P}^3$

1994 ◽  
Vol 17 (2) ◽  
pp. 321-335
Author(s):  
Shigeharu TAKAYAMA
Keyword(s):  
Rank 2 ◽  
Rank 2 Bundles

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

A direct proof that toric rank $2$ bundles on projective space split

2020 ◽  
Vol 126 (3) ◽  
pp. 493-496
Author(s):  
David Stapleton
Keyword(s):  
Vector Bundle ◽  
Projective Space ◽  
Complete Intersection ◽  
Vector Bundles ◽  
Direct Proof ◽  
Rank 2 ◽  
Dimensional Projective Space ◽  
Rank 2 Bundles

The point of this paper is to give a short, direct proof that rank $2$ toric vector bundles on $n$-dimensional projective space split once $n$ is at least $3$. This result is originally due to Bertin and Elencwajg, and there is also related work by Kaneyama, Klyachko, and Ilten-Süss. The idea is that, after possibly twisting the vector bundle, there is a section which is a complete intersection.

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 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

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.

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