Dans cet article, nous calculons les seuils log canoniques pondérés des fonctions plurisous-harmoniques toriques, c'est-à-dire s'exprimant comme des fonctions convexes croissantes des logarithmes des modules de leurs arguments complexes.
In this article, we compute the weighted log canonical thresholds of toric plurisubharmonic functions, i.e. convex increasing functions of the logarithms of the absolute values of their complex arguments.
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@article{CRMATH_2015__353_2_127_0, author = {Hiep, Pham Hoang and Tung, Trinh}, title = {The weighted log canonical thresholds of toric plurisubharmonic functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {127--131}, publisher = {Elsevier}, volume = {353}, number = {2}, year = {2015}, doi = {10.1016/j.crma.2014.11.005}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2014.11.005/} }
TY - JOUR AU - Hiep, Pham Hoang AU - Tung, Trinh TI - The weighted log canonical thresholds of toric plurisubharmonic functions JO - Comptes Rendus. Mathématique PY - 2015 SP - 127 EP - 131 VL - 353 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2014.11.005/ DO - 10.1016/j.crma.2014.11.005 LA - en ID - CRMATH_2015__353_2_127_0 ER -
%0 Journal Article %A Hiep, Pham Hoang %A Tung, Trinh %T The weighted log canonical thresholds of toric plurisubharmonic functions %J Comptes Rendus. Mathématique %D 2015 %P 127-131 %V 353 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2014.11.005/ %R 10.1016/j.crma.2014.11.005 %G en %F CRMATH_2015__353_2_127_0
Hiep, Pham Hoang; Tung, Trinh. The weighted log canonical thresholds of toric plurisubharmonic functions. Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 127-131. doi : 10.1016/j.crma.2014.11.005. http://archive.numdam.org/articles/10.1016/j.crma.2014.11.005/
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