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Remarks on Type III Unprojection

代数几何 2007-05-23 v1 交换代数

摘要

Type III unprojection plays a very important role in the birational geometry of Fano threefolds. It was first introduced by A. Corti on his calculations of Fano threefolds of genus 6 and 7. It seems that at present a general definition of the type III unprojection is still missing. After proving some general facts about residual ideals, we propose a definition for the generic Type III unprojection, and prove that it gives a Gorenstein ring.

引用

@article{arxiv.math/0501535,
  title  = {Remarks on Type III Unprojection},
  author = {Stavros Argyrios Papadakis},
  journal= {arXiv preprint arXiv:math/0501535},
  year   = {2007}
}

备注

11 pages, to appear in Communications in Algebra