Geodesic
The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces
Épijournal de Géométrie Algébrique, Tome 4 (2020)

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We introduce and study the maximal unipotent finite quotient for algebraic group schemes in positive characteristics. Applied to Picard schemes, this quotient encodes unusual torsion. We construct integral Fano threefolds where such unusual torsion actually appears. The existence of such threefolds is surprising, because the torsion vanishes for del Pezzo surfaces. Our construction relies on the theory of exceptional Enriques surfaces, as developed by Ekedahl and Shepherd-Barron. 
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     title = {The maximal unipotent finite quotient, unusual torsion in {Fano} threefolds, and exceptional {Enriques} surfaces},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {4},
     year = {2020},
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Fanelli, Andrea; Schröer, Stefan. The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces. Épijournal de Géométrie Algébrique, Tome 4 (2020). doi: 10.46298/epiga.2020.volume4.6151

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