On the minimal free resolution of general embeddings of curves

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ON THE MINIMAL FREE RESOLUTION OF n + 1 GENERAL FORMS

Let R = k[x 1 ,. .. , xn] and let I be the ideal of n + 1 generically chosen forms of degrees d 1 ≤ · · · ≤ d n+1. We give the precise graded Betti numbers of R/I in the following cases: • n = 3; • n = 4 and 5 i=1 d i is even; • n = 4, 5 i=1 d i is odd and d 2 + d 3 + d 4 < d 1 + d 5 + 4; • n is even and all generators have the same degree, a, which is even; • (n+1 i=1 d i) − n is even and d 2 ...

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 1996

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1996.172.315