Rationally connected varieties - on a conjecture of Mumford

TL;DR

This paper proves parts of Mumford's conjecture, providing new characterizations of rationally connected complex projective manifolds, advancing understanding in algebraic geometry.

Contribution

It establishes the conjecture of Mumford in several cases, offering new insights into the structure of rationally connected varieties.

Findings

Confirmed Mumford's conjecture in multiple cases

Characterized rationally connected manifolds

Enhanced understanding of complex projective varieties

Abstract

We establish a conjecture of Mumford characterizing rationally connected complex projective manifolds in several cases.