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SMOOTH FANO 4-FOLDS IN GORENSTEIN FORMATS
Part of
MUHAMMAD IMRAN QURESHI
Journal:

Bulletin of the Australian Mathematical Society / Volume 104 / Issue 3 / December 2021

Published online by Cambridge University Press:

31 May 2021, pp. 424-433

Print publication:

December 2021
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We construct some new deformation families of four-dimensional Fano manifolds of index one in some known classes of Gorenstein formats. These families have explicit descriptions in terms of equations, defining their image under the anticanonical embedding in some weighted projective space. They also have relatively smaller anticanonical degree than most other known families of smooth Fano 4-folds.

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SMOOTH FANO 4-FOLDS IN GORENSTEIN FORMATS