Given an integer $g \geq 0$ and a weight vector $w \in \mathbb{Q}^n \cap (0, 1]^n$ satisfying $2g - 2 +\sum w\_i > 0$, let $\Delta\_{g, w}$ denote the moduli space of $n$-marked, $w$-stable tropical curves genus $g$ volume one. We calculate automorphism group $\operatorname{Aut}(\Delta\_{g, w})$ for 1$ arbitrary $w$, we $\operatorname{Aut}(\Delta\_{0, when $w$ is heavy/light. In both these case...

In [2] Donaldson proved that if a polarized manifold (V, L) has constant scalar curvature Kähler metrics in c1(L) and its automorphism group Aut(V, L) is discrete, (V, L) is asymptotically Chow stable. In this paper, we shall show an example which implies that the above result does not hold in the case when Aut(V, L) is not discrete.

Assuming CH, let Γω1 be the saturated random graph of cardinality ω1. In this paper we prove that it is consistent that cf(Aut(Γω1)) and 2ω1 can be any two prescribed regular cardinals subject only to the requirement ω1 < cf(Aut(Γω1)) ≤ 2ω1 .

Let G be a finite p-group such that xZ(G) ⊆ x for all x ∈ G−Z(G), where x denotes the conjugacy class of x in G. Then |G| divides |Aut(G)|, where Aut(G) is the group of all automorphisms of G.

We are interested in classifying all connected complex manifolds M of dimension n ≥ 2 admitting effective actions of the unitary group Un by biholomorphic transformations. One motivation for our study was the following question that we learned from S. Krantz: assume that the group Aut(M) of all biholomorphic automorphisms of M and the group Aut(C) of all biholomorphic automorphisms of C are iso...

all forms of creative production born of an intimate and individual urge, often secretive, unbound from the conventional art system rules. Through short descriptions of the Outsider art work of prominent artists and new protagonists often hosted in community mental health services, this section intends to investigate the latest developments of the contemporary art scene, where the distances bet...