Details

Autor(en) / Beteiligte

• Moraga, Joaquín

Titel

Coregularity of Fano varieties

Ist Teil von

• Geometriae dedicata, 2024-04, Vol.218 (2), Article 40

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2024

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The absolute regularity of a Fano variety, denoted by reg ^ ( X ) , is the largest dimension of the dual complex of a log Calabi–Yau structure on X . The absolute coregularity is defined to be coreg ^ ( X ) : = dim X - reg ^ ( X ) - 1 . The coregularity is the complementary dimension of the regularity. We expect that the coregularity of a Fano variety governs, to a large extent, the geometry of X . In this note, we review the history of Fano varieties, give some examples, survey some theorems, introduce the coregularity, and propose several problems regarding this invariant of Fano varieties.