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- W1615032312 abstract "Chisini's conjecture asserts that for a cuspidal curve $Bsubset mathbb P^2$ a generic morphism $f$ of a smooth projective surface onto $mathbb P^2$ of degree $geq 5$, branched along $B$, is unique up to isomorphism. We prove that if $deg f$ is greater than the value of some function depending on the degree, genus, and number of cusps of $B$, then the Chisini conjecture holds for $B$. This inequality holds for many different generic morphisms. In particular, it holds for a generic morphism given by a linear subsystem of the $m$th canonical class for almost all surfaces with ample canonical class." @default.
- W1615032312 created "2016-06-24" @default.
- W1615032312 creator A5043833822 @default.
- W1615032312 date "1998-03-29" @default.
- W1615032312 modified "2023-09-27" @default.
- W1615032312 title "On a Chisini Conjecture" @default.
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