Toric Residues

نویسنده

David A. Cox

چکیده

In this paper, we will show how these properties of residues can be generalized to an arbitrary projective toric variety. The paper is organized into six sections as follows. In §1, we define the cohomology class [ωg] ∈ H(P,ΩPn), and then §2 generalizes this to define toric residues in terms of a toric analog of the Trace Property. We recall some commutative algebra associated with toric varieties in §3, and §4 introduces a toric version of the Jacobian, which is defined as the determinant of a certain exact sequence. In §5, we show that the toric residue is uniquely characterized using a toric analog of the

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