Tohoku Mathematical Journal
2021
March
SECOND SERIES VOL. 73, NO. 1

Tohoku Math. J.
73 (2021), 99-104

Title STRONG FACTORIZATION AND THE BRAID ARRANGEMENT FAN

Author John Machacek

(Received December 3, 2018, revised December 10, 2019)
Abstract. We establish strong factorization for pairs of smooth fans which are refined by the braid arrangement fan. Our method uses a correspondence between cones and preposets.

Mathematics Subject Classification. Primary 14M25; Secondary 06A07, 52B20.
Key words and phrases. Toric varieties, factorization of birational maps, posets.

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