7 citations · 22 across the 14 of their papers we have counts for
14 papers
Higher rank BN-theory for curves of genus 6
H. Lange, P. E. Newstead
Higher rank Brill-Noether theory for genus 6 is especially interesting as, even in the general case, some unexpected phenomena arise which are absent in lower genus. Moreover, it i…
Higher rank BN-thory for curves of genus 5
H. Lange, P. E. Newstead
In this paper, we consider higher rank Brill-Noether theory for smooth curves of genus 5, obtaining new upper bounds for non-emptiness of Brill-Noether loci and many new examples.
Higher rank BN-theory for curves of genus 4
H. Lange, P. E. Newstead
Higher rank Brill-Noether theory is completely known for curves of genus . In this paper, we investigate the theory for curves of genus 4. Some of our results apply to curv…
Bundles computing Clifford indices on trigonal curves
H. Lange, P. E. Newstead
In this paper, we determine bundles which compute the higher Clifford indices for trigonal curves.
On bundles of rank 3 computing Clifford indices
H. Lange, P. E. Newstead
Let be a smooth irreducible projective algebraic curve defined over the complex numbers. The notion of the Clifford index of was extended a few years ago to semistable bund…
Vector bundles of rank 2 computing Clifford indices
H. Lange, P. E. Newstead
Clifford indices of vector bundles on algebraic curves were introduced in a previous paper of the authors. In this paper we study bundles of rank 2 which compute these Clifford ind…
On the gonality sequence of an algebraic curve
H. Lange, G. Martens
For any smooth irreducible projective curve , the gonality sequence is a strictly increasing sequence of positive integer invariants of . In…
On an example of Mukai
H. Lange, V. Mercat, P. E. Newstead
In this note we use an example of Mukai to construct semistable bundles of rank 3 with 6 independent sections on a curve of genus 9 or 11 with Clifford index strictly less than the…
Counter-examples of high Clifford index to Prym-Torelli
E. Izadi, H. Lange
We give examples of curves of arbitrarily high Clifford index such that the Prym map is not injective at any of their étale double covers.
Lower bounds for Clifford indices in rank three
H. Lange, P. E. Newstead
Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in previous papers of the authors. In the present paper, we establish l…
Generation of vector bundles computing Clifford indices
H. Lange, P. E. Newstead
Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in a previous paper of the authors. The present paper studies bundles w…
Clifford's theorem for coherent systems
H. Lange, P. E. Newstead
Final version to appear in Archiv der Mathematik.
Coherent Systems on Elliptic curves
H. Lange, P. E. Newstead
In this paper we consider coherent systems on an elliptic curve which are stable with respect to some value of a parameter . We show that the corresponding moduli spaces…
A stratification of the moduli space of vector bundles on curves
L. Brambila-Paz, H. Lange
Let be a vector bundle of rank on a smooth projective curve of genus over an algebraically closed field of arbitrary characteristic. For any intege…