no. 1-2
Algebraic Geometry
Family of counterexamples to King's conjecture
[Famille de contre-exemples à la conjecture de King]

Présenté par : the Editorial Board

Michałek, Mateusz1, 2
1 Mathematical Institute of the Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland
2 Institut Fourier, universite Joseph-Fourier, 100, rue des Maths, BP 74, 38402 St Martin d'Hères, France
Comptes Rendus. Mathématique, Tome 349 (2011) no. 1-2, pp. 67-69.

Dans cette Note nous présentons une famille infinie de contre-exemples à la conjecture de A. King, de dimension arbitrairement grande.

In this short Note we present an infinite family of arbitrary high dimensional counterexamples to the King's conjecture.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.11.027
Michałek, Mateusz 1, 2

1 Mathematical Institute of the Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland
2 Institut Fourier, universite Joseph-Fourier, 100, rue des Maths, BP 74, 38402 St Martin d'Hères, France 
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Michałek, Mateusz. Family of counterexamples to King's conjecture. Comptes Rendus. Mathématique, Tome 349 (2011) no. 1-2, pp. 67-69. doi : 10.1016/j.crma.2010.11.027. http://www.numdam.org/articles/10.1016/j.crma.2010.11.027/

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[6] A. King, Titling bundles on some rational surfaces, preprint at http://www.maths.bath.ac.uk/~masadk/papers/.

[7] M. Lason, M. Michalek, On the derived categories of toric varieties with Picard number three, preprint.

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☆ The author was supported by a grant of Polish MNiSW (N N201 413539).