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Syzygies of ℙ1× ℙ1: data and conjectures

2021/04/29 by Juliette Bruce, Daniel Corey, Bruce, Juliette +9
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.2104.14598

Abstract

We provide a number of new conjectures and questions concerning the syzygies of ℙ1× ℙ1. The conjectures are based on computing the graded Betti tables and related data for large number of different embeddings of ℙ1× ℙ1. These computations utilize linear algebra over finite fields and high-performance computing.

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