On the quantum cohomology of blow-ups of projective spaces along linear subspaces

TL;DR

This paper provides an explicit algebraic description of the quantum cohomology ring for blow-ups of projective spaces along linear subspaces, advancing understanding in algebraic geometry.

Contribution

It offers a new explicit presentation with generators and relations for the quantum cohomology of these blow-ups, which was previously not well-understood.

Findings

Explicit presentation of the quantum cohomology ring

Generators and relations detailed for blow-ups along linear subspaces

Facilitates computations in algebraic geometry

Abstract

We give an explicit presentation with generators and relations of the quantum cohomology ring of the blow-up of a projective space along a linear subspace.