Torus embeddings and algebraic intersection complexes

Mathematics – Algebraic Geometry

Scientific paper

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59 pages, latex

Scientific paper

We describe the intersection complex of any perversity of a toric variety
completely in terms of the associated fan. It is described by a finite complex
of finite dimensional graded vector spaces which we call graded exterior
modules. The intersection complexes of the middle perversity are treated in the
second part following this article.

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