@article{12308,
  abstract     = {Let P and Q be two points on an elliptic curve defined over a number field K. For α∈End(E), define Bα to be the OK-integral ideal generated by the denominator of x(α(P)+Q). Let O be a subring of End(E), that is a Dedekind domain. We will study the sequence {Bα}α∈O. We will show that, for all but finitely many α∈O, the ideal Bα has a primitive divisor when P is a non-torsion point and there exist two endomorphisms g≠0 and f so that f(P)=g(Q). This is a generalization of previous results on elliptic divisibility sequences.},
  author       = {Verzobio, Matteo},
  issn         = {2522-0160},
  journal      = {Research in Number Theory},
  keywords     = {Algebra and Number Theory},
  number       = {2},
  publisher    = {Springer Nature},
  title        = {{Primitive divisors of sequences associated to elliptic curves with complex multiplication}},
  doi          = {10.1007/s40993-021-00267-9},
  volume       = {7},
  year         = {2021},
}

@article{10874,
  abstract     = {In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary octics to Siegel modular forms of genus 3. We use this connection to show that certain modular functions, when restricted to the hyperelliptic locus, assume values whose denominators are products of powers of primes of bad reduction for the associated hyperelliptic curves. We illustrate our theorem with explicit computations. This work is motivated by the study of the values of these modular functions at CM points of the Siegel upper half-space, which, if their denominators are known, can be used to effectively compute models of (hyperelliptic, in our case) curves with CM.},
  author       = {Ionica, Sorina and Kılıçer, Pınar and Lauter, Kristin and Lorenzo García, Elisa and Manzateanu, Maria-Adelina and Massierer, Maike and Vincent, Christelle},
  issn         = {2363-9555},
  journal      = {Research in Number Theory},
  keywords     = {Algebra and Number Theory},
  publisher    = {Springer Nature},
  title        = {{Modular invariants for genus 3 hyperelliptic curves}},
  doi          = {10.1007/s40993-018-0146-6},
  volume       = {5},
  year         = {2019},
}