Canonical Stability of 3-Folds of General Type with pg ≥ 3-Reference-Cited by-同舟云学术

Canonical Stability of 3-Folds of General Type with pg ≥ 3

Published:2003-07 Issue:05 Volume:14 Page:515-528
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Chen Meng¹

Affiliation:

1. Institute of Mathematics, Fudan University, Shanghai, 200433, P.R. China

Abstract

We study the canonical stability of a smooth projective 3-fold V of general type. We prove that |5KV| gives a birational map onto its image provided pg ≥ 4. For those V with pg = 3, |6KV| gives a birational map. Known examples show that both the results are optimal.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X03001934

Reference21 articles.

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2. Canonical models of surfaces of general type

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4. On pluricanonical maps for threefolds of general type

5. Canonical stability in terms of singularity index for algebraic threefolds

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