On Buchsbaum bundles on quadric hypersurfaces

• Autorzy: Edoardo Ballico , Francesco Malaspina , Paolo Valabrega , Mario Valenzano
• Języki publikacji: EN

Abstrakty

EN

Let E be an indecomposable rank two vector bundle on the projective space ℙn, n ≥ 3, over an algebraically closed field of characteristic zero. It is well known that E is arithmetically Buchsbaum if and only if n = 3 and E is a null-correlation bundle. In the present paper we establish an analogous result for rank two indecomposable arithmetically Buchsbaum vector bundles on the smooth quadric hypersurface Q n ⊂ ℙn+1, n ≥ 3. We give in fact a full classification and prove that n must be at most 5. As to k-Buchsbaum rank two vector bundles on Q 3, k ≥ 2, we prove two boundedness results.

Słowa kluczowe

EN

Arithmetically Buchsbaum rank two vector bundles; Smooth quadric hypersurfaces

Kategorie tematyczne

• 14F05: Sheaves, derived categories of sheaves and related constructions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 1361-1379

Daty

wydano

2012-08-01

online

2012-05-31

Twórcy

autor

Edoardo Ballico

• Università di Trento

autor

Francesco Malaspina

• Politecnico di Torino

autor

Paolo Valabrega

• Politecnico di Torino

autor

Mario Valenzano

• Università di Torino

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0005-y