Anti-Pluricanonical Systems On Q-Fano Threefolds

Abstract

We investigate birationality of the anti-pluricanonical map ${\varphi }_{-m}$, the rational map defined by the anti-pluricanonical system $|-mK|$, on $\mathbb{Q}$-Fano threefolds.

18 pages

References in corpus (3)

• On Fano indicies of Q-Fano 3-folds
• Explicit birational geometry of threefolds of general type
• The degree of Q-Fano threefolds

Cited by in corpus (4)

• On birational geometry of minimal threefolds with numerically trivial canonical divisors
• An effective upper bound for anti-canonical volumes of canonical $\mathbb{Q}$-Fano threefolds
• On the anti-canonical geometry of weak $\mathbb{Q}$-Fano threefolds, II
• On the anti-canonical geometry of weak $\mathbb{Q}$-Fano threefolds, III