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math.AG2007★ 14 cited
Weighted Projective Lines Associated to Regular Systems of Weights of Dual Type
Atsushi Takahashi
We associate to a regular system of weights a weighted projective line over an algebraically closed field of characteristic zero in two different ways. One is defined as a quotient…
math.AG2007★ 1 cited
Triangulated categories of matrix factorizations for regular systems of weights with
Hiroshige Kajiura, Kyoji Saito, Atsushi Takahashi
We construct a full strongly exceptional collection in the triangulated category of graded matrix factorizations of a polynomial associated to a non-degenerate regular system of we…