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A stratification of the moduli space of vector bundles on curves

- L. Brambila-Paz, H. Lange
- Mathematics
- 18 August 1997

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\le… Expand

On coherent systems of type (n, d, n + 1) on Petri curves

- U. Bhosle, L. Brambila-Paz, P. Newstead
- Mathematics
- 13 December 2007

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. We… Expand

NON-EMPTINESS OF MODULI SPACES OF COHERENT SYSTEMS

- L. Brambila-Paz
- Mathematics
- 14 December 2004

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 the… Expand

Stability of projective Poincaré and Picard bundles

- I. Biswas, L. Brambila-Paz, P. Newstead
- Mathematics
- 27 May 2008

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 ξ… Expand

Moduli spaces and vector bundles

- L. Brambila-Paz, S. Bradlow, O. García-Prada, S. Ramanan
- Mathematics
- 2009

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

- L. Brambila-Paz, O. Mata-Gutiérrez, P. Newstead, A. Ortega
- Mathematics
- 13 November 2017

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 $E$ to… Expand

On linear series and a conjecture of D. C. Butler

- U. Bhosle, L. Brambila-Paz, P. Newstead
- Mathematics
- 16 April 2013

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 the… Expand

Deformations of the generalised Picard bundle

- I. Biswas, L. Brambila-Paz, P. Newstead
- Mathematics
- 29 August 2003

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 n… Expand

Moduli stacks and moduli schemes for rank 2 unstable bundles

- L. Brambila-Paz, Osbaldo Mata, N. Nitsure
- Mathematics
- 12 November 2009

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. Fixing… Expand

Stability of the Poincare Bundle

- V. Balaji, L. Brambila-Paz, P. Newstead
- Mathematics
- 1997

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 line… Expand

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