5 citations · 11 across the 11 of their papers we have counts for
12 papers
Linear stability and rank two Clifford indices of algebraic curves with applications
Ali Bajravani, Angela Ortega
We prove that any vector bundle computing the rank-two Clifford index of a smooth projective algebraic curve is linearly semistable. We also identify conditions under which such bu…
Martens and Mumford theorems for higher rank Brill--Noether loci
Parviz Asefi Nazarlou, Ali Bajravani, George H. Hitching
Generalizing the Martens theorem for line bundles over a curve , we obtain upper bounds on the dimension of the Brill--Noether locus parametrizing stable bundles of…
Excess dimensions of Brill--Noether schemes of rank two stable bundles
Ali Bajravani
We use results of M. Aprodu and E. Sernesi to extend a result by Fulton--Harris--Lazarsfeld in Brill--Noether theory of line bundles %and, as well, a result by Aprod-Sernesi in the…
Excess dimensions for Brill-Noether schemes of stable vector bundles
Ali Bajravani
We extend a result by Fulton-Harris-Lazarsfeld in Brill-Noehter theory of line bundles and, as well, a result by Aprod-Sernesi in theory of Secant Loci, to the Brill-Noehter locus…
Brill--Noether loci on moduli spaces of symplectic bundles over curves
Ali Bajravani, George H. Hitching
The symplectic Brill--Noether locus associated to a curve parametrises stable rank bundles over with at least sections and which carry a n…
Bounds on the Dimension of the Brill-Noether Schemes of Rank Two Bundles
Ali Bajravani
The aim of this note is to find upper bounds on the dimension of Brill-Noether locus' inside the moduli space of rank two vector bundles on a smooth algebraic curve. We deduce some…
A note on the Tangent Cones of the scheme of Secant Loci
Ali Bajravani
The point of this short note concerns with two facts on the scheme of secant loci. The first one is an attempt to describe the tangent cone of these schemes globally and the second…
A note on the variety of Secant Loci
Ali Bajravani
We determine non hyper elliptic curves of genus , such that for some very ample line bundle on them and for some integers d and r with some prescribed assumptions, the…
A Note on Projectivized Tangent Cone Quadrics of a Prym Canonical Curve
Ali Bajravani
Throughout the paper, among other esults, we give partial analogues of theorem 1.1 for projectivized tangent cone quadrics of rank equal or less than 4, for Prymians.
Martens-Mumford's Theorems for Brill-Noether Schemes arising from Very Ample Line Bundles
Ali Bajravani
Tangent Spaces of V^r_d(L), Specific subschemes of C_d arising from various line bundles on C, are described. Then we proceed to prove Martense Theorem for these schemes, by which…
On the Smoothness of Functors
A. Bajravani, A. Rastegar
In this paper we try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functo…
Focal Varieties of Curves of Genus 6 and 8
Ali Bajravani
In this paper we give a simple Torelli type theorem for curves of genus 6 and 8 by showing that these curves can be reconstructed from their Brill-Noether varieties. Among other re…