The geometry and combinatorics of some hessenberg varieties related to the permutohedral variety

HIGHLIGHTS

• What: The authors determine the dot representation of the permutation group Sn on these varieties. The aim of this Article is to construct a concrete isomorphism from the iterated blowups on Pn-1 to the Hessenberg variety. The authors show that the Euler characteristic of Xk n! is equal to the permutation number P (n, k + 1)=(n-k-1)!. The authors focus on the specific Hessenberg function h+=(2, 3,..., n - 1, n, n), i.e. h+ (i)=min(i + 1, n) for 1 󰃑 i 󰃑 n.
• Who: Submitted Nov and colleagues from the (UNIVERSITY . . .
  

   

  

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