Very ample line bundles on blown-up projective varieties.
The gonality of general smooth curves with a prescribed plane nodal model.
Embeddings of general blowing-ups at points.
Brill-Noether theory for non-special linear systems
A remark on the embedding theorem for general smooth curves.
An asymptotic higher order very ampleness theorem for blowings-up of projective spaces at general points
Five-gonal curves of genus nine.
Let C be a smooth 5-gonal curve of genus 9. Assume all linear systems g on C are of type I (i.e. they can be counted with multiplicity 1) and let m be the numer of linear systems g on C. The only possibilities are m=1; m=2; m=3 and m=6. Each of those possibilities occur.
A metric graph satisfying [...] w 4 1 = 1 that cannot be lifted to a curve satisfying [...] dim ( W 4 1 ) = 1
For all integers g ≥ 6 we prove the existence of a metric graph G with [...] w41=1 such that G has Clifford index 2 and there is no tropical modification G′ of G such that there exists a finite harmonic morphism of degree 2 from G′ to a metric graph of genus 1. Those examples show that not all dimension theorems on the space classifying special linear systems for curves have immediate translation to the theory of divisors on metric graphs.
Secant spaces and Clifford's theorem
Correction to the gonality of smooth curves with plane models.
The gonality of smooth curves with plane Models.
Limit Weierstrass schemes on stable curves with 2 irreducible components
We are concerned with limits of Weierstrass points under degeneration of smooth curves to stable curves of non compact type, union of two irreducible smooth components meeting transversely at points. The case having already been treated by Eisenbud and Harris in [8], we analyze the situation for .
Primitive linear series on curves.
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