Geodesic
Three Equivalent Conjectures on the Birational Geometry of Fano 3-folds
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 52-54

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I propose three equivalent conjectures on the birational geometry of Fano 3-folds. Roughly speaking, they suggest that ergodic, or chaotic, behaviour does not occur for Fano 3-folds. 
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     author = {A. Corti},
     title = {Three {Equivalent} {Conjectures} on the {Birational} {Geometry} of {Fano} 3-folds},
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     url = {http://geodesic.mathdoc.fr/item/TM_2009_264_a4/}
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A. Corti. Three Equivalent Conjectures on the Birational Geometry of Fano 3-folds. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 52-54. http://geodesic.mathdoc.fr/item/TM_2009_264_a4/