The trigonal construction in the ramified case
classification
🧮 math.AG
keywords
covercurvedoublegenusramifiedtrigonalvarietiesabelian
read the original abstract
To every double cover ramified in two points of a general trigonal curve of genus g, one can associate an \'etale double cover of a tetragonal curve of genus g+1. We show that the corresponding Prym varieties are canonically isomorphic as principally polarized abelian varieties.
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