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Two-cover descent on plane quartics with rational bitangents

Two-cover descent on plane quartics with rational bitangents

We implement two-cover descent for plane quartics over ‫ޑ‬ with all 28 bitangents rational and show that on a significant collection of test cases, it resolves the existence of rational points.We also review a classical description of the relevant moduli space and use it to generate examples.We observe that local …