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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Polyhedral resolutions of algebraic varieties
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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
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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