A study of general Martens-special chains of cycles

2024/09/17 by Coppens, Marc · 1 citation
#05C25 #14T15 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.07180

Abstract

For a general Martens-special chain of cycles Γ of type k we prove that the gonality is equal to k+2. Although dim (W¹_k+2 (Γ))=k we prove that w¹_k+2(Γ)=0. We also compute the gonality sequence of Γ and we prove it is divisorial complete. We prove that a general Martens-special discrete chain of cycles G of type k has the same gonality sequence.

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