We study the topology, geometry, and combinatorics of toric varieties. Reading list:
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V. I. Danilov, The geometry of toric varieties, Russian Math. Surveys 33 (1978), 97--154.
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I. M. Gelfand, M. M. Kapranov, and A. V. Zelevinsky, Discriminants, resultants, and multidimensional determinants, Birkhäuser, Boston, MA, 1994. (Chapter 5)
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V. Buchstaber and T. Panov, Torus actions, combinatorial topology and homological algebra, Russian Math. Surveys 55 (2000), 825--921
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G. Ziegler, Lectures on polytopes, GTM 152, Springer-Verlag, 1997.
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E.-M. Feichtner, Rational versus real cohomology algebras of low-dimensional toric varieties, preprint.
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alexsuciu@neu.edu
