Abstract
We establish the Noether inequality for projective -folds, and, specifically, we prove that the inequality holds for all projective -folds of general type with either or , where is the geometric genus and is the canonical volume. This inequality is optimal due to known examples found by Kobayashi in 1992.
Citation
Jungkai A. Chen. Meng Chen. Chen Jiang. "The Noether inequality for algebraic -folds." Duke Math. J. 169 (9) 1603 - 1645, 15 June 2020. https://doi.org/10.1215/00127094-2019-0080
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