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On syzygies of Calabi–Yau varieties and varieties of general type

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Abstract We establish projective normality, Property N p and effective very ampleness for line bundles on a Calabi–Yau variety, as well as for pluricanonical bundles of a variety of general… Click to show full abstract

Abstract We establish projective normality, Property N p and effective very ampleness for line bundles on a Calabi–Yau variety, as well as for pluricanonical bundles of a variety of general type. We also prove a result on the degrees of generators of canonical rings under the condition that the image of the canonical map has minimal degree.

Keywords: general type; varieties varieties; calabi yau; yau varieties; syzygies calabi

Journal Title: Advances in Mathematics
Year Published: 2019

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