Mathematics of Computation
Resolutions of cusp singularities are crucial to many techniques in computational number theory, and therefore finding explicit resolutions of these singularities has been the focus of a great deal of research. This paper presents an implementation of a sequence of algorithms leading to explicit resolutions of cusp singularities arising from totally real cubic number fields. As an example, the implementation is used to compute values of partial seta functions associated to these cusps.
First published in Mathematics of Computation in 2000, published by the American Mathematical Society.
Grundman, Helen G. "Explicit Resolutions of Cubic Cusp Singularities." Math. Comp. 69 (2000): 815-825.