On Fano varieties whose effective divisors are numerically eventually free

TL;DR

This paper classifies certain mildly singular Fano varieties with maximal Picard number, focusing on those whose effective divisors become free after some numerical steps, advancing understanding of their geometric structure.

Contribution

It provides a classification of mildly singular Fano varieties with maximal Picard number based on the property of their effective divisors being numerically eventually free.

Findings

Classification of such Fano varieties achieved

Identification of conditions for effective divisors to be numerically eventually free

Enhanced understanding of the structure of Fano varieties with maximal Picard number

Abstract

In this paper we classify mildly singular Fano varieties with maximal Picard number whose effective divisors are numerically eventually free.