Abstract
Given a smooth plane quartic curve over a field of characteristic 0, with Jacobian variety , and a marked rational point , we construct a reductive group and a -variety , together with an injection . We do this using the Mumford theta group of the divisor of , and a construction of Lurie which passes from Heisenberg groups to Lie algebras.
Citation
Jack Thorne. "Arithmetic invariant theory and 2-descent for plane quartic curves." Algebra Number Theory 10 (7) 1373 - 1413, 2016. https://doi.org/10.2140/ant.2016.10.1373
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