Very ampleness and higher syzygies for Calabi-Yau threefolds | Zendy

Francisco Javier Gallego | Zendy; Bangere P. Purnaprajna | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Very ampleness and higher syzygies for Calabi-Yau threefolds

Author(s) -

Francisco Javier Gallego,

Bangere P. Purnaprajna

Publication year - 1998

Publication title -

mathematische annalen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.235

H-Index - 75

eISSN - 1432-1807

pISSN - 0025-5831

DOI - 10.1007/s002080050215

Subject(s) - mathematics , calabi–yau manifold , divisor (algebraic geometry) , base (topology) , variety (cybernetics) , pure mathematics , degree (music) , type (biology) , point (geometry) , mathematical analysis , geometry , statistics , physics , ecology , acoustics , biology

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research