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- W2912147954 abstract "Let $X hookrightarrow mathbb{P}^r$ be a smooth projective variety defined by homogeneous polynomials of degree $leq d$. We give explicit upper bounds on the order of the torsion subgroup $(mathrm{NS} , X)_{mathrm{tor}}$ of the Neron-Severi group of $X$. The bounds are derived from an explicit upper bound on the number of irreducible components of either the Hilbert scheme $mathbf{Hilb}_Q X$ or the scheme $mathbf{CDiv}_n X $parametrizing the effective Cartier divisors of degree $n$ on $X$. We also give an upper bound on the number of generators of $(mathrm{NS} , X)[ell^infty]$ uniform as $ell neq mathrm{char}, k$ varies." @default.
- W2912147954 created "2019-02-21" @default.
- W2912147954 creator A5087703993 @default.
- W2912147954 date "2019-02-07" @default.
- W2912147954 modified "2023-09-27" @default.
- W2912147954 title "Bounds on the Torsion Subgroups of N'eron-Severi Groups" @default.
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