We completely characterize the bigraded resolutions of Ulrich bundles of arbitrary rank on the Segre fourfold P2 × P2. We characterize the Ulrich bundles V of arbitrary rank on P2×P2 with h1(V ⊗ Ω Ω) = 0 or with h1(V ⊗ Ω(−1) Ω(−1)) = 0 or obtained as pullback from P2 and we construct more complicated example

Ulrich bundles on the degree six Segre fourfold / Malaspina, F.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 553:(2020), pp. 154-174. [10.1016/j.jalgebra.2020.01.026]

Ulrich bundles on the degree six Segre fourfold

Malaspina, F.
2020

Abstract

We completely characterize the bigraded resolutions of Ulrich bundles of arbitrary rank on the Segre fourfold P2 × P2. We characterize the Ulrich bundles V of arbitrary rank on P2×P2 with h1(V ⊗ Ω Ω) = 0 or with h1(V ⊗ Ω(−1) Ω(−1)) = 0 or obtained as pullback from P2 and we construct more complicated example
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2830372