On syzygies of divisors on rational normal scrolls | Zendy

Park Euisung | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On syzygies of divisors on rational normal scrolls

Author(s) -

Park Euisung

Publication year - 2014

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201300085

Subject(s) - mathematics , betti number , divisor (algebraic geometry) , variety (cybernetics) , projective variety , diagram , pure mathematics , resolution (logic) , degree (music) , statistics , artificial intelligence , computer science , physics , acoustics

In this paper, we study the minimal free resolution of a nondegenerate projective variety X ⊂ P rwhen X is contained in a variety Y of minimal degree as a divisor. Such a variety is of interest because of its extremal behavior with respect to various properties. The graded Betti diagram of X has been completely known only when X is arithmetically Cohen‐Macaulay. Our main result in the present paper provides a detailed description of the graded Betti diagram of X for the case where X is not arithmetically Cohen‐Macaulay.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research