71 citations · 127 across the 13 of their papers we have counts for
4 papers · 1 filter
Mirror Quintics, discrete symmetries and Shioda Maps
Gilberto Bini, Bert van Geemen, Tyler L. Kelly
In a recent paper, Doran, Greene and Judes considered one parameter families of quintic threefolds with finite symmetry groups. A surprising result was that each of these six famil…
Siegel modular forms and finite symplectic groups
Francesco Dalla Piazza, Bert van Geemen
The finite symplectic group Sp(2g) over the field of two elements has a natural representation on the vector space of Siegel modular forms of given weight for the principal congrue…
Genus four superstring measures
Sergio L. Cacciatori, Francesco Dalla Piazza, Bert van Geemen
A main issue in superstring theory are the superstring measures. D'Hoker and Phong showed that for genus two these reduce to measures on the moduli space of curves which are determ…
Modular Forms and Three Loop Superstring Amplitudes
Sergio L. Cacciatori, Francesco Dalla Piazza, Bert van Geemen
We study a proposal of D'Hoker and Phong for the chiral superstring measure for genus three. A minor modification of the constraints they impose on certain Siegel modular forms lea…