2020/12/24 by Hwang, DongSeon
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2012.13355
The conjecture called algebraic Montgomery-Yang problem is still open for rational ℚ-homology projective planes with cyclic quotient singularities having ample canonical divisor. All known such surfaces have a special birational behavior called a cascade. In this note, we establish algebraic Montgomery-Yang problem assuming the cascade conjecture, which claims that every rational ℚ-homology projective planes with quotient singularities having ample canonical divisor admits a cascade.