Toric Surfaces and Continued Fractions

نویسنده

  • JOHN VOIGHT
چکیده

One goal in studying toric varieties is to put general theory in more concrete, combinatorial terms. It is striking that when one considers toric surfaces (obtained from fans in the plane) that continued fractions—an object originating in number theory—pop up in the resolution of singularities. The purpose of this article is to provide an exposition of this phenomenon and other ways in which continued fractions arise in toric geometry.

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تاریخ انتشار 2000