Displaying similar documents to “Higher degree Galois covers of ℂℙ 1 × T .”

The Lamé family of connections on the projective line

Frank Loray, Marius van der Put, Felix Ulmer (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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This paper deals with rank two connections on the projective line having four simple poles with prescribed local exponents 1/4 and - 1 / 4 . This Lamé family of connections has been extensively studied in the literature. The differential Galois group of a Lamé connection is never maximal : it is either dihedral (finite or infinite) or reducible. We provide an explicit moduli space of those connections having a free underlying vector bundle and compute the algebraic locus of those reducible...

Cubic surfaces with a Galois invariant double-six

Andreas-Stephan Elsenhans, Jörg Jahnel (2010)

Open Mathematics

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We present a method to construct non-singular cubic surfaces over ℚ with a Galois invariant double-six. We start with cubic surfaces in the hexahedral form of L. Cremona and Th. Reye. For these, we develop an explicit version of Galois descent.