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Smooth Fano four folds in Gorenstein formats

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 Added by Muhammad Qureshi I
 Publication date 2021
  fields
and research's language is English




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We construct some new deformation families of four-dimensional Fano manifolds of index $1$ in some known classes of Gorenstein formats. These families have explicit descriptions in terms of equations, defining their image under the anti-canonical embedding in some weighted projective space. The constructed families have relatively smaller anti-canonical degrees than most other known families of smooth Fano 4-folds.

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