A divisorial log terminal pair, abbreviated dlt pair, is a log canonical pair admitting a log resolution on
which every exceptional prime divisor has strictly
positive log discrepancy. The boundary is effective
and has coefficients at most one. A log resolution
is a proper birational morphism from a smooth variety on which the strict transform of the
boundary together with the exceptional divisors has simple normal crossing support.
For example, a smooth variety with a simple normal
crossing boundary of coefficients in is divisorial log terminal (Kollár and Mori 1998).
Divisorial Log Terminal Pair
See also
Kawamata Log Terminal Pair, Log Abundance Conjecture, Log Canonical Pair, Log Resolution, Q-Factorial Variety, Simple Normal Crossing DivisorExplore with Wolfram|Alpha
References
Kollár, J. and Mori, S. Birational Geometry of Algebraic Varieties. Cambridge, England: Cambridge University Press, 1998. https://doi.org/10.1017/CBO9780511662560.Cite this as:
Weisstein, Eric W. "Divisorial Log Terminal Pair." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DivisorialLogTerminalPair.html