Thin monodromy in Sp(4)

Brav, Christopher et Thomas, Hugh (2014). « Thin monodromy in Sp(4) ». Compositio Mathematica, 150(03), pp. 333-343.

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Résumé

We show that some hypergeometric monodromy groups in Sp(4,Z) split as free or amalgamated products and hence by cohomological considerations give examples of Zariski dense, non-arithmetic monodromy groups of real rank 2. In particular, we show that the monodromy of the natural quotient of the Dwork family of quintic threefolds in P^{4} splits as Z*Z/5. As a consequence, for a smooth quintic threefold X we show that a certain group of autoequivalences of the bounded derived category of coherent sheaves is an Artin group of dihedral type.

Type:	Article de revue scientifique
Mots-clés ou Sujets:	algebraic geometry, Structure of families, monodromy
Unité d'appartenance:	Faculté des sciences > Département de mathématiques
Déposé par:	Hugh R. Thomas
Date de dépôt:	18 mai 2016 19:48
Dernière modification:	30 mai 2016 20:11
Adresse URL :	http://archipel.uqam.ca/id/eprint/8480

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