Some remarks on syzygies of adjoint line bundles

E. Park

doi:10.1080/00927870802467221

Some remarks on syzygies of adjoint line bundles

E. Park

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we construct examples of n-folds X carrying an ample line bundle A ∈, Pic X such that property N_p fails for K_X + (n + 1 + p)A. This shows that the condition of Mukai's conjecture is optimal for every n ≥ 1 and p ≥ 0.

Original language	English
Pages (from-to)	2184-2192
Number of pages	9
Journal	Communications in Algebra
Volume	37
Issue number	7
DOIs	https://doi.org/10.1080/00927870802467221
Publication status	Published - 2009 Jul

Keywords

Mukai's conjecture
Syzygies

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870802467221

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Some remarks on syzygies of adjoint line bundles

Abstract

Keywords

ASJC Scopus subject areas

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