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A stratification of the moduli space of vector bundles on curves
Let $E$ be a vector bundle of rank $r\geq 2$ on a smooth projective curve $C$ of genus $g \geq 2$ over an algebraically closed field $K$ of arbitrary characteristic. For any integer with $1\le k\leExpand
On coherent systems of type (n, d, n  +  1) on Petri curves
We study coherent systems of type (n, d, n + 1) on a Petri curve X of genus g ≥ 2. We describe the geometry of the moduli space of such coherent systems for large values of the parameter α. WeExpand
NON-EMPTINESS OF MODULI SPACES OF COHERENT SYSTEMS
Let X be a general smooth projective algebraic curve of genus g ≥ 2 over ℂ. We prove that the moduli space G(α:n,d,k) of α-stable coherent systems of type (n,d,k) over X is empty if k > n and theExpand
Stability of projective Poincaré and Picard bundles
Let X be an irreducible smooth projective curve of genus g ≥ 3 defined over the complex numbers, and let ℳ ξ denote the moduli space of stable vector bundles on X of rank n and determinant ξ, where ξExpand
Moduli spaces and vector bundles
Preface Acknowledgments Part I. Lecture Notes: 1. Lectures on principal bundles V. Balaji 2. Brill-Noether theory for stable vector bundles Ivona Grzegorczyk and Montserrat Teixidor i Bigas 3.Expand
On generated coherent systems and a conjecture of D. C. Butler
Let $(E,V)$ be a general generated coherent system of type $(n,d,n+m)$ on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semistability of $E$ toExpand
On linear series and a conjecture of D. C. Butler
Let C be a smooth irreducible projective curve of genus g and L a line bundle of degree d generated by a linear subspace V of H-0 (L) of dimension n+1. We prove a conjecture of D. C. Butler on theExpand
Deformations of the generalised Picard bundle
Abstract Let X be a nonsingular algebraic curve of genus g ⩾ 3 , and let M ξ denote the moduli space of stable vector bundles of rank n ⩾ 2 and degree d with fixed determinant ξ over X such that nExpand
Moduli stacks and moduli schemes for rank 2 unstable bundles
Let X be a geometrically irreducible smooth projective curve over a field k. We describe the algebra of endomorphisms of indecomposable unstable vector bundles over X of rank 2 and degree d. FixingExpand
Stability of the Poincare Bundle
Let C be a nonsingular projective curve of genus g ≥ 2 defined over the complex numbers, and let M ξ denote the moduli space of stable bundles of rank n and determinant ξ on C, where ξ is a lineExpand
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