L. Brambila-Paz

activity

19992003

collaborators

5 papers

math.AG2003

Deformations of the generalised Picard bundle

I. Biswas, L. Brambila-Paz, P. E. Newstead

Let X be a non-singular algebraic curve of genus at least 3 and let M denote the moduli space of stable vector bundles of rank n and fixed determinant of degree d with n and d copr…

math.AG2001

Deformations of the Picard Bundle

I. Biswas, L. Brambila-Paz, P. E. Newstead

Let X be a nonsingular projective algebraic curve of genus g\ge3. We consider the moduli space M of stable bundles of fixed determinant with rank n and degree d coprime and d>n(2g-…

math.AG1999

Nonemptiness of Brill-Noether loci

L. Brambila-Paz, V. Mercat, P. E. Newstead +1

Let $X$ be a non-singular algebraic curve of genus $g$ . We prove that the Brill-Noether locus $\bns $ is non-empty if $d = n d^{'} + d^{''}$ with $0 < d^{''} < 2 n$ , $1 \leq s \leq g$ , $d'\geq (s-1)…

math.AG1999

Infinitesimal deformations of a Calabi-Yau hypersurface of the moduli space of stable vector bundles over a curve

Indranil Biswas, Leticia Brambila-Paz

Let $X$ be a compact connected Riemann surface of genus $g$ , with $g \geq 2$ , and $M_{ξ}$ a smooth moduli space of fixed determinant semistable vector bundles of rank $n$ , with…

math.AG1999

Restriction of the Poincaré bundle to a Calabi-Yau hypersurface

Indranil Biswas, Leticia Brambila-Paz

Let $\cMx$ be the moduli space of stable vector bundles of rank $n \geq 3$ and determinant $ξ$ over a connected Riemann surface $X$ , with $n$ and $d (ξ)$ coprime. Let $D$ be a Calabi…