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math.NT2018★ 7 cited
Modular invariants for genus 3 hyperelliptic curves
Sorina Ionica, Pinar Kilicer, Kristin Lauter +4
In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary oc-tics to Siegel modular forms of genus 3. W…
math.NT2018
Primes dividing invariants of CM Picard curves
Pınar Kılıçer, Elisa Lorenzo García, Marco Streng
We give a bound on the primes dividing the denominators of invariants of Picard curves of genus 3 with complex multiplication. Unlike earlier bounds in genus 2 and 3, our bound is…
math.NT2015★ 3 cited
The CM class number one problem for curves of genus
Pinar Kilicer, Marco Streng
The CM class number one problem for elliptic curves asked to find all elliptic curves defined over the rationals with non-trivial endomorphism ring. For genus-2 curves it is the pr…