A metric graph satisfying [...] w41=1$w_4^1 = 1$that cannot be lifted to a curve satisfying [...] dim⁡ (W41)=1$\dim \;(W_4^1 ) = 1$

• Autorzy: Marc Coppens
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Metric graphs; Curves; Lifting problems; Special divisors; Clifford index; Dimension theorems

Kategorie tematyczne

• 14T05: Tropical geometry
• 05C99: None of the above, but in this section
• 14H51: Special divisors (gonality, Brill-Noether theory)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1-12

Daty

wydano

2016-01-01

otrzymano

2015-04-11

zaakceptowano

2015-11-30

online

2016-02-09

Twórcy

autor

Marc Coppens

• KU Leuven, Technologiecampus Geel, Departement Elektrotechniek (ESAT), Kleinhoefs-traat 4, B-2440 Geel,

Identyfikatory

DOI

10.1515/math-2016-0001