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

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


	Document type :	Computer developments : Software
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/28345

Title :	goettsche.lib: a Singular library implementing the Göttsche's formula
Language :	English
Author, co-author :	Iena, Oleksandr [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Sep-2016
Creation date :	2016-09
Keywords :	[en] 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.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/28345
Other URL :	http://github.com/Singular/Sources/blob/spielwiese/Singular/LIB/goettsche.lib

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