Comptes Rendus
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On the Fano dimension of an Enriques surface
[Sur la dimension de Fano d’une surface d’Enriques]
Federico Tufo1 orcid
1Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40127 Bologna, Italy
Comptes Rendus. Mathématique, Volume 364 (2026), pp. 495-499

We construct a family of Fano fourfolds with the derived category of coherent sheaves of a general Enriques surface as semiorthogonal component. This improves a result of Kuznetsov, lowering the Fano dimension of a general Enriques surface from six to four.

Nous construisons une famille de variétés de Fano de dimension quatre dont la catégorie dérivée des faisceaux cohérents d’une surface d’Enriques générale apparaît comme composante semi-orthogonale. Cela améliore un résultat de Kuznetsov en abaissant la dimension de Fano d’une surface d’Enriques générale de six à quatre.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.840
Classification : 14J45, 14J28, 14F08
Keywords: Enriques surfaces, Fano dimension, degeneracy loci
Mots-clés : Surfaces d’Enriques, dimension de Fano, lieux de dégénérescence

Federico Tufo  1

1 Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40127 Bologna, Italy
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
Federico Tufo. On the Fano dimension of an Enriques surface. Comptes Rendus. Mathématique, Volume 364 (2026), pp. 495-499. doi: 10.5802/crmath.840
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     title = {On the {Fano} dimension of an {Enriques} surface},
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     publisher = {Acad\'emie des sciences, Paris},
     volume = {364},
     doi = {10.5802/crmath.840},
     language = {en},
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