Poincare' series for maximal De Concini-Procesi models of root arrangements

TL;DR

This paper computes inductive formulas for the Poincaré series of maximal De Concini-Procesi models associated with root arrangements of types A, B, C, and D, advancing understanding of their topological structure.

Contribution

It provides new inductive formulas for the Poincaré series of these models, which were not previously known for all root types.

Findings

Derived explicit inductive formulas for Poincaré series

Extended results to root arrangements of types A, B, C, D

Enhanced understanding of the topology of De Concini-Procesi models

Abstract

In this paper we focus on maximal complex De Concini-Procesi models associated to root arrangements of types A, B, C, D and we compute inductive formulas for their Poincare' series.