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Projective Generation of Curves (III)

2013
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International mathematics research notices
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Let A be an affine domain of dimension n over a field of characteristic zero. Let I ⊂ A[T ] be a local complete intersection ideal of height n such that µ(I/I 2 ) = n. This paper examines under what condition I is surjective image of a projective A[T ]module of rank n. More specifically, one is interested in knowing when is an element (I, ωI ) of the Euler class group E(A[T ]) obtained as the Euler class of a projective A[T ]module. It is proved that such a phenomenon occurs if and only if the

doi:10.1093/imrn/rnt230
fatcat:dva6xp2c6zdltpxyfrygr3tqka