Hilbert schemes of points; Betti numbers; Göttsche's formula; Symmetric powers of varieties; Macdonald's formula
Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
Iena, Oleksandr ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
goettsche.lib: a Singular library implementing the Göttsche's formula
