[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j200048

WEIGHTED PROJECTIVE LINES WITH WEIGHT PERMUTATION

Han, Lina (Yau Mathematical Sciences Center Tsinghua University)
Wang, Xintian (College of Science China University of Mining and Technology (Beijing))

Publication Information

Journal of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 219-236 More about this Journal

Abstract

Let �� be a weighted projective line defined over the algebraic closure $k={\bar{\mathbb{F}}}_q$ of the finite field ��q and σ be a weight permutation of ��. By folding the category coh-�� of coherent sheaves on �� in terms of the Frobenius twist functor induced by σ, we obtain an ��q-category, denoted by coh-(��, σ; q). We then prove that coh-(��, σ; q) is derived equivalent to the valued canonical algebra associated with (��, σ).

Keywords

Weighted projective line; weight permutation; Frobenius twist functor;

Citations & Related Records

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