Polyhedral resolutions of algebraic varieties
HTML articles powered by AMS MathViewer
- by James A. Carlson PDF
- Trans. Amer. Math. Soc. 292 (1985), 595-612 Request permission
Abstract:
We give a method for constructing relatively small smooth simplicial resolutions of singular projective algebraic varieties. For varieties of dimension $n$, at most $n$ applications of the basic process yields a resolution of combinatorial dimension at most $n$. The object so obtained may be used to compute the mixed Hodge stucture of the underlying variety.References
- James A. Carlson, Extensions of mixed Hodge structures, Journées de Géometrie Algébrique d’Angers, Juillet 1979/Algebraic Geometry, Angers, 1979, Sijthoff & Noordhoff, Alphen aan den Rijn—Germantown, Md., 1980, pp. 107–127. MR 605338
- Pierre Deligne, Théorie de Hodge. II, Inst. Hautes Études Sci. Publ. Math. 40 (1971), 5–57 (French). MR 498551
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 292 (1985), 595-612
- MSC: Primary 14E15; Secondary 14C30, 32C45
- DOI: https://doi.org/10.1090/S0002-9947-1985-0808740-3
- MathSciNet review: 808740