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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Polyhedral resolutions of algebraic varieties


Author: James A. Carlson
Journal: Trans. Amer. Math. Soc. 292 (1985), 595-612
MSC: Primary 14E15; Secondary 14C30, 32C45
MathSciNet review: 808740
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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 [Enhancements On Off] (What's this?)

  • [C] 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
  • [D] Pierre Deligne, Théorie de Hodge. III, Inst. Hautes Études Sci. Publ. Math. 44 (1974), 5–77 (French). MR 0498552

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DOI: https://doi.org/10.1090/S0002-9947-1985-0808740-3
Article copyright: © Copyright 1985 American Mathematical Society