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Factoriality condition of some nodal threefolds in {mathbb{P}^4}
Authors:Dimitra Kosta
Affiliation:(1) School of Mathematics, The University of Edinburgh, Kings Buildings, Mayfield Road, Edinburgh, EH9 3JZ, UK
Abstract:We prove that for n = 8, 9, 10, 11, a nodal hypersurface of degree n in $${mathbb{P}^{4}}$$ is factorial if it has at most (n − 1)2 − 1 nodes. The author is grateful to Ivan Cheltsov for valuable comments and suggestions.
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000) 14J30  14J70  14B05  13F15
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