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Syzygies of $\mathbb{P}^{1}\times \mathbb{P}^{1}$: data and conjectures (2104.14598v1)
Published 29 Apr 2021 in math.AC and math.AG
Abstract: We provide a number of new conjectures and questions concerning the syzygies of $\mathbb{P}1\times \mathbb{P}1$. The conjectures are based on computing the graded Betti tables and related data for large number of different embeddings of $\mathbb{P}1\times \mathbb{P}1$. These computations utilize linear algebra over finite fields and high-performance computing.
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