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On the topology of rational T-varieties of complexity one

Published 20 Mar 2015 in math.AG | (1503.06023v3)

Abstract: We generalize classical results about the topology of toric varieties to the case of projective Q-factorial T-varieties of complexity one using the language of divisorial fans. We describe the Hodge-Deligne polynomial in the smooth case, the cohomology ring and the Chow ring in the contraction-free case.

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