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## Abstract

Suppose X is a projective toric scheme defined over a ring R and equipped with an ample line bundle L . We prove that its K-theory has a direct summand of the form K(R)(k+1) where k = 0 is minimal such that L?(-k-1) is not acyclic. Using a combinatorial description of quasi-coherent sheaves we interpret and prove this result for a ring R which is either commutative, or else left noetherian.

Original language | English |
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Pages (from-to) | 1-30 |

Number of pages | 30 |

Journal | Journal of Homotopy and Related Structures |

Volume | 7 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2012 |

## ASJC Scopus subject areas

- Geometry and Topology
- Algebra and Number Theory

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## Projects

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