Equivariant classes of orbits in GL(2)-representations

TL;DR

This paper computes the equivariant fundamental classes of orbits in GL(2)-representations and applies these results to determine degrees of orbit closures related to elliptic fibrations and self-maps of the projective line.

Contribution

It introduces explicit calculations of equivariant classes for orbits in GL(2)-representations, providing new tools for geometric and algebraic applications.

Findings

Computed equivariant fundamental classes of orbits

Determined degrees of orbit closures for elliptic fibrations

Analyzed self-maps of the projective line

Abstract

We compute equivariant fundamental classes of orbits in GL(2)-representations. As applications, we find degrees of the orbit closures corresponding to elliptic fibrations and self-maps of the projective line.