On Koszul Property of the Homogeneous Coordinate Ring of a Curve

نویسنده

  • Alexander Polishchuk
چکیده

This paper is devoted to Koszul property of the homogeneous coordinate algebra of a smooth complex algebraic curve in the projective space (the notion of a Koszul algebra is some homological refinement of the notion of a quadratic algebra, for precise definition see next section). It grew out from the attempt to understand methods of M. Finkelberg and A. Vishik in their paper [10] proving this property for the canonical algebra of a curve in the case it is quadratic. The basic ingredient of their proof is the following lemma on special divisors.

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تاریخ انتشار 1995