scholarly journals The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic

2009 ◽  
Vol 59 (4) ◽  
pp. 1641-1669 ◽  
Author(s):  
Laurent Ducrohet
Keyword(s):  
Vector Bundles ◽  
Rank 2 ◽  
Rank 2 Vector Bundles ◽  
Small Genus

scholarly journals EXTENSIONS AND RANK-2 VECTOR BUNDLES ON IRREDUCIBLE NODAL CURVES

2005 ◽  
Vol 16 (10) ◽  
pp. 1081-1118
Author(s):  
D. ARCARA
Keyword(s):  
Moduli Space ◽  
Vector Bundles ◽  
Rational Map ◽  
Nodal Curves ◽  
Nodal Curve ◽  
Stable Vector Bundles ◽  
Rank 2 ◽  
Rank 2 Vector Bundles

We generalize Bertram's work on rank two vector bundles to an irreducible projective nodal curve C. We use the natural rational map [Formula: see text] defined by [Formula: see text] to study a compactification [Formula: see text] of the moduli space [Formula: see text] of semi-stable vector bundles of rank 2 and determinant L on C. In particular, we resolve the indeterminancy of ϕL in the case deg L = 3,4 via a sequence of three blow-ups with smooth centers.

Stable rank 2 vector bundles with Chern-classesc 1=?1,c 2=4

1986 ◽  
Vol 275 (3) ◽  
pp. 481-500 ◽  
Author(s):  
Wolfram Decker
Keyword(s):  
Vector Bundles ◽  
Stable Rank ◽  
Rank 2 ◽  
Rank 2 Vector Bundles

Ample and spanned rank-2 vector bundles withc 2=2 on complex surfaces

1991 ◽  
Vol 56 (6) ◽  
pp. 611-615 ◽  
Author(s):  
Edoardo Ballico ◽  
Antonio Lanteri
Keyword(s):  
Vector Bundles ◽  
Complex Surfaces ◽  
Rank 2 ◽  
Rank 2 Vector Bundles

Maximal Subbundles of Rank 2 Vector Bundles on Projective Curves

2000 ◽  
Vol 43 (2) ◽  
pp. 129-137 ◽  
Author(s):  
E. Ballico
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Stable Rank ◽  
Maximal Degree ◽  
Projective Curve ◽  
Smooth Projective Curve ◽  
Stable Vector Bundles ◽  
Projective Curves ◽  
Rank 2 ◽  
Rank 2 Vector Bundles

AbstractLet E be a stable rank 2 vector bundle on a smooth projective curve X and V(E) be the set of all rank 1 subbundles of E with maximal degree. Here we study the varieties (non-emptyness, irreducibility and dimension) of all rank 2 stable vector bundles, E, on X with fixed deg(E) and deg(L), L ∈ V(E) and such that .

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