3 citations · 3 across the 4 of their papers we have counts for
11 papers
Explicit modularity of K3 surfaces with complex multiplication of large degree
Edgar Costa, Andreas-Stephan Elsenhans, Jörg Jahnel +1
We consider the transcendental motive of three K3 surfaces conjectured to have complex multiplication (CM). Under this assumption, we match these to explicit algebraic Hecke qu…
On the component group of the algebraic monodromy group of a surface
Andreas-Stephan Elsenhans, Jörg Jahnel
We provide a lower bound for the number of components of the algebraic monodromy group in the situation of a surface over a number field . In the CM case, our bound is shar…
Real and complex multiplication on K3 surfaces via period integration
Andreas-Stephan Elsenhans, Jörg Jahnel
We report on a new approach, as well as some related experiments, to construct families of K3 surfaces having real or complex multiplication. The approach is based on an explicit d…
On the algebraic Brauer classes on open degree four del Pezzo surfaces
Jörg Jahnel, Damaris Schindler
We study the algebraic Brauer classes on open del Pezzo surfaces of degree . I.e., on the complements of geometrically irreducible hyperplane sections of del Pezzo surfaces of d…
On plane quartics with a Galois invariant Cayley octad
Andreas-Stephan Elsenhans, Jörg Jahnel
We describe a construction of plane quartics with prescribed Galois operation on the 28 bitangents, in the particular case of a Galois invariant Cayley octad. As an application, we…
On plane quartics with a Galois invariant Steiner hexad
Andreas-Stephan Elsenhans, Jörg Jahnel
We describe a construction of plane quartics with prescribed Galois operation on the 28 bitangents, in the particular case of a Galois invariant Steiner hexad. As an application, w…