Comptes Rendus
no. 11-12
Complex Analysis
A comparison principle for the log canonical threshold
[Un principe de comparaison pour le seuil log-canonique]

Présenté par : Jean-Pierre Demailly

Phạm Hoàng Hiệp1
1 Department of Mathematics, National University of Education, 136-Xuan Thuy, Cau Giay, Hanoi, Viet Nam
Comptes Rendus. Mathématique, Volume 351 (2013) no. 11-12, pp. 441-443.

Dans cette note, nous démontrons un principe de comparaison pour le seuil log-canonique des fonctions plurisousharmoniques.

In this note, we prove a comparison principle for the log canonical threshold of plurisubharmonic functions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.06.013
Phạm Hoàng Hiệp 1

1 Department of Mathematics, National University of Education, 136-Xuan Thuy, Cau Giay, Hanoi, Viet Nam 
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Phạm Hoàng Hiệp. A comparison principle for the log canonical threshold. Comptes Rendus. Mathématique, Volume 351 (2013) no. 11-12, pp. 441-443. doi : 10.1016/j.crma.2013.06.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.06.013/

[1] U. Cegrell The general definition of the complex Monge–Ampère operator, Ann. Inst. Fourier (Grenoble), Volume 54 (2004), pp. 159-179

[2] T. de Fernex; L. Ein; M. Mustaţǎ Bounds for log canonical thresholds with applications to birational rigidity, Math. Res. Lett., Volume 10 (2003), pp. 219-236

[3] J.-P. Demailly Monge–Ampère operators, Lelong numbers and intersection theory (V. Ancona; A. Silva, eds.), Complex Analysis and Geometry, Univ. Series in Math., Plenum Press, New York, 1993

[4] J.-P. Demailly; Phạm Hoàng Hiệp A sharp lower bound for the log canonical threshold, Acta Math. (2013) (in press) | arXiv

[5] J.-P. Demailly; J. Kollár Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds, Ann. Sci. Éc. Norm. Super. (4), Volume 34 (2001), pp. 525-556

[6] C.O. Kiselman Attenuating the singularities of plurisubharmonic functions, Ann. Pol. Math., Volume 60 (1994), pp. 173-197

[7] S. Kołodziej The range of the complex Monge–Ampère operator, II, Indiana Univ. Math. J., Volume 44 (1995), pp. 765-782

[8] H. Skoda Sous-ensembles analytiques dʼordre fini ou infini dans Cn, Bull. Soc. Math. Fr., Volume 100 (1972), pp. 353-408

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