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Projective embeddings of M‾0,n and parking functions
Journal of Combinatorial Theory Series A ( IF 1.1 ) Pub Date : 2021-05-04 , DOI: 10.1016/j.jcta.2021.105471 Renzo Cavalieri , Maria Gillespie , Leonid Monin
中文翻译:
的投影嵌入 和停车功能
更新日期:2021-05-04
Journal of Combinatorial Theory Series A ( IF 1.1 ) Pub Date : 2021-05-04 , DOI: 10.1016/j.jcta.2021.105471 Renzo Cavalieri , Maria Gillespie , Leonid Monin
The moduli space may be embedded into the product of projective spaces , using a combination of the Kapranov map and the forgetful maps . We give an explicit combinatorial formula for the multidegree of this embedding in terms of certain parking functions of height . We use this combinatorial interpretation to show that the total degree of the embedding (thought of as the projectivization of its cone in ) is equal to . As a consequence, we also obtain a new combinatorial interpretation for the odd double factorial.
中文翻译:
的投影嵌入 和停车功能
模空间 可能嵌入到射影空间的产品中 ,结合使用Kapranov地图 和健忘的地图 。我们根据高度的某些泊车函数,为该嵌入的多度给出了一个明确的组合公式。。我们使用这种组合解释来表明嵌入的总程度(被认为是其圆锥的投影)等于 。结果,我们也获得了对奇数双阶乘的新组合解释。