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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 $\dim \;(W_4^1 ) = 1$

100%

Coppens M.

Open Mathematics

2016

tom 14

nr 1

1-12

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.

Gonality for stable curves and their maps with a smooth curve as their target

100%

Ballico E.

Open Mathematics

2009

tom 7

nr 1

54-58

Here we study the deformation theory of some maps f: X → ℙr , r = 1, 2, where X is a nodal curve and f|T is not constant for every irreducible component T of X. For r = 1 we show that the “stratification by gonality” for any subset of [...] with fixed topological type behaves like the stratification by gonality of M g.

Ograniczanie wyników

2 Open Mathematics

1 Ballico E.

1 Coppens M.

1 2016

1 2009

Wyniki wyszukiwania

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 $\dim \;(W_4^1 ) = 1$

Gonality for stable curves and their maps with a smooth curve as their target