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arXiv · 2107.03710

Smooth Fano four folds in Gorenstein formats

Muhammad Imran Qureshi
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Abstract

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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Muhammad Imran Qureshi. 2021-07-08. Smooth Fano four folds in Gorenstein formats. https://doi.org/10.1017/s0004972721000393

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