Subsheaves of the cotangent bundle

• Autorzy: Paolo Cascini
• Języki publikacji: EN

Abstrakty

EN

For any smooth projective variety, we study a birational invariant, defined by Campana which depends on the Kodaira dimension of the subsheaves of the cotangent bundle of the variety and its exterior powers. We provide new bounds for a related invariant in any dimension and in particular we show that it is equal to the Kodaira dimension of the variety, in dimension up to 4, if this is not negative.

Słowa kluczowe

EN

Kodaira dimension; birational geometry; 14E05 14J35

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2006
• Tom: 4
• Numer: 2
• Strony: 209-224

Daty

wydano

2006-06-01

online

2006-06-01

Twórcy

autor

Paolo Cascini

• University of California at Santa Barbara

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-006-0003-z