On partially ample adjoint divisors

Autores: Sung Rak Choi
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 7, 2014, págs. 1171-1178
Idioma: inglés
DOI: 10.1016/j.jpaa.2013.11.010
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Resumen
- We study the MMP (minimal model program) invariant properties of partially ample adjoint divisors. Using these invariant properties, we prove that the three notions of (numerically, cohomologically, asymptotically) partial ampleness coincide for big divisors on Q-factorial Fano type varieties and more generally Mori dream spaces. This gives a partial answer to a question raised by Totaro.