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 examples.
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