SÅ‚awomir Cynk


Hilbert modular Calabi-Yau threefold


In 2010 L. Dieulefait, A. Pacetti and M. Schuett proved modularity of the so called Consani-Scholten quintic, a nodal quintic hypersurface in $\mathbb P^4$ with 120 ordinary double points constructed more than 20 years earlier by B. van Geemen and J. Werner. C. Consani and J. Scholten constructed a Hilbert modular form and gave strong numerical evidence for modularity of the quintic. I will shortly discuss Hilbert modular forms and describe some examples.