# Changes between Initial Version and Version 1 of Ticket #20512

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Timestamp:
04/27/16 23:34:25 (3 years ago)
Comment:

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 initial AttributeError: 'sage.rings.integer.Integer' object has no attribute 'reduce' }}} I think the mathematically correct answer is that X.Jacobian() should again equal X (i.e., P viewed as a closed subscheme of itself). However, this is not consistent with the definition in the docstring: I think the mathematically correct answer is that X.Jacobian() should equal the ideal (1). This is consistent with the definition in the docstring: {{{ * the d\times d minors of the Jacobian matrix, where d is the defining equations is [LazarsfeldJacobian]. }}} In this case d=0, and the unique 0 by 0 minor of any matrix (empty or not) is equal to 1. In this case d=0, and the unique 0 by 0 minor of any matrix (empty or not) is equal to 1. And anyway, the Jacobian ideal of the full ambient space should cut out the empty subscheme.