Currently displaying 1 – 13 of 13

Showing per page

Order by Relevance | Title | Year of publication

Five-gonal curves of genus nine.

Marc Coppens — 2005

Collectanea Mathematica

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 w 4 1 = 1 that cannot be lifted to a curve satisfying [...] dim ⁡   ( W 4 1 ) = 1 dim ( W 4 1 ) = 1

Marc Coppens — 2016

Open Mathematics

For all integers g ≥ 6 we prove the existence of a metric graph G with [...] w41=1 w 4 1 = 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.

Limit Weierstrass schemes on stable curves with 2 irreducible components

Marc CoppensLetterio Gatto — 2001

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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 m 1 points. The case m = 1 having already been treated by Eisenbud and Harris in [8], we analyze the situation for m > 1 .

Page 1

Download Results (CSV)