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math.NT2019★ 7 cited
Siegel modular forms of degree three and invariants of ternary quartics
Reynald Lercier, Christophe Ritzenthaler
We determine the structure of the graded ring of Siegel modular forms of degree 3. It is generated by 19 modular forms, among which we identify a homogeneous system of parameters w…
math.AG2019
Stable models of plane quartics with hyperelliptic reduction
Reynald Lercier, Elisa Lorenzo García, Christophe Ritzenthaler
Let C/K: F = 0 be a smooth plane quartic over a complete discrete valuation field K. In a previous paper the authors togetehr with Q. Liu give various characterizations of the redu…