Zariski-density of exceptional sets for hypergeometric functions Academic Article

abstract

• We extend the results of Desrousseaux in [10], [11], [12]. In those papers an exceptional set was constructed for the Appell-Lauricella hypergeometric functions associated to rational ball tuples. The definition of this set requires quite subtle conditions necessary for the application of the Andr-Oort conjecture. In this paper, we show that generalizations of the Andr-Oort conjecture by Pink [20] lead to similar results for a more natural exceptional set, namely the set of algebraic points at which the function takes algebraic values. Desrousseaux's exceptional set is in general a proper subset of this set. Walter de Gruyter 2008.

authors

• Tretkoff, Paula

published proceedings

• FORUM MATHEMATICUM

author list (cited authors)

• Desrousseaux, P., Tretkoff, M. D., & Tretkoff, P.

citation count

• 2

complete list of authors

• Desrousseaux, Pierre-Antoine||Tretkoff, Marvin D||Tretkoff, Paula

publication date

• March 2008

publisher

• DE GRUYTER  Publisher

published in

• Forum Mathematicum  Journal

keywords

• 49 Mathematical Sciences
• 4903 Numerical And Computational Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1515/FORUM.2008.009

start page

• 187

end page

• 199

volume

• 20

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1515%2Fforum.2008.009