Gallego Rodrigo, Francisco Javier and Purnaprajna, Bangere P.
(1998)
*Very ampleness and higher syzygies for Calabi-Yau threefolds.*
Mathematische Annalen, 312
.
133 -149.
ISSN 0025-5831

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Official URL: http://www.springerlink.com/content/100442/

## Abstract

The authors prove various results concerning multiples of ample, base-point-free linear systems on Calabi-Yau threefolds. Suppose that B is an ample divisor on a Calabi-Yau threefold X, and that |B| has no base-points. Then the authors prove that 3B is very ample and embeds X as a projectively normal variety if and only if |B| does not map X 2:1 onto P3. Similarly, they prove that |2B| enjoys the same properties if and only if |B| does not map X onto a variety of minimal degree other than P3, nor maps X 2:1 onto P3. Further results are proved, giving conditions for when the linear system nB satisfies the condition Np.

Item Type: | Article |
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Uncontrolled Keywords: | Projective varieties, Koszul cohomology, K-3 surfaces |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 12604 |

Deposited On: | 25 Apr 2011 21:02 |

Last Modified: | 25 Apr 2011 21:02 |

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