# On the non-vanishing conjecture and existence of log minimal models

@article{Hashizume2016OnTN,
title={On the non-vanishing conjecture and existence of log minimal models},
author={Kenta Hashizume},
journal={arXiv: Algebraic Geometry},
year={2016}
}
• K. Hashizume
• Published 1 September 2016
• Mathematics
• arXiv: Algebraic Geometry
We prove that the non-vanishing conjecture and the log minimal model conjecture for projective log canonical pairs can be reduced to the non-vanishing conjecture for smooth projective varieties such that the boundary divisor is zero.
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