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- W3133881878 abstract "We generalize the G.C.D. results of Corvaja--Zannier and Levin on $mathbb G_m^n$ to more general settings. More specifically, we analyze the height of a closed subscheme of codimension at least $2$ inside an $n$-dimensional Cohen-Macaulay projective variety, and show that this height is small when evaluated at integral points with respect to a divisor $D$ when $D$ is a sum of $n+1$ effective divisors which are all numerically equivalent to some multiples of a fixed ample divisor. Our method is inspired by Silverman's G.C.D. estimate as an application of Vojta's conjecture, which is substituted by a more general version of Schmidt's subspace theorem of Ru--Vojta in our proof." @default.
- W3133881878 created "2021-03-15" @default.
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- W3133881878 date "2021-03-01" @default.
- W3133881878 modified "2023-10-03" @default.
- W3133881878 title "Greatest common divisors of integral points of numerically equivalent divisors" @default.
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- W3133881878 doi "https://doi.org/10.2140/ant.2021.15.287" @default.
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