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arXiv · 2101.05075

Graded matrix factorizations of size two and reduction

Wolfgang Ebeling·Atsushi Takahashi
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Abstract

We associate a complete intersection singularity to a graded matrix factorization of size two of a polynomial in three variables. We show that we get an inverse to the reduction of singularities considered by C.T.C.Wall. We study this for the full strongly exceptional collections in the triangulated category of graded matrix factorizations constructed by H.Kajiura, K.Saito, and the second author.

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Wolfgang Ebeling, Atsushi Takahashi. 2021-01-13. Graded matrix factorizations of size two and reduction. https://arxiv.org/abs/2101.05075

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