THE MAXIMAL UNIPOTENT FINITE QUOTIENT, UNUSUAL TORSION IN FANO THREEFOLDS, AND EXCEPTIONAL ENRIQUES SURFACES

The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces

The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces

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We introduce and study the UNA TASSONOMIA DELLE DOMANDE DI ARGOMENTO LINGUISTICO NEI PORTALI DI DOMANDE E RISPOSTE 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 Translation and cross-cultural adaptation of seventeen widely-used assessment instruments for child and adolescent mental health in Greece by Ekedahl and Shepherd-Barron.

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