Rational And Nearly Rational Varieties

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Birational Geometry of 3-fold Mori Fibre Spaces (2003, methodology): “See [KSC03] for a tutorial in the elementary methods of such cubics.”
Dynamical degrees of birational transformations of projective surfaces (2013, unknown): “The result follows from the Noether-Castelnuovo theorem, which asserts that Bir(P(2)k) is generated by Aut(P 2 k) and the standard quadratic transformation, when k is algebraically closed (see [32] or [1]).”
Topics in classical algebraic geometry (2006, methodology): “We refer to modern texts on Del Pezzo surfaces [261], [196], [82], [183].”
Classical Algebraic Geometry: A Modern View (2012, methodology): “We refer to modern texts on del Pezzo surfaces [527], [378], [164], [345].”
Normal subgroups in the Cremona group (2010, background): “The conclusion follows from Noether’s theorem, which states that σ and Aut(P2 k ) generate Bir(P2 k ) (see [40], §2.”