goettsche.lib: a Singular library implementing the Göttsche's formula

English

Iena, Oleksandr[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]

Sep-2016

2016-09

[en] Hilbert schemes of points ; Betti numbers ; Göttsche's formula ; Symmetric powers of varieties ; Macdonald's formula

[en] This is a library for the computer algebra system Singular. The Göttsche's formula for the Betti numbers of Hilbert schemes of points on a surface is implemented. An implementation of the Macdonald's formula for the Betti numbers of symmetric products is provided as well.