Unobstructedness of deformations for a d-semistable central corank one boundary point

TL;DR

This paper proves the smoothness of various deformation functors for a specific type of degeneration of complex abelian surfaces, advancing understanding in algebraic geometry.

Contribution

It establishes the unobstructedness of deformations for a d-semistable boundary point in complex abelian surface degenerations.

Findings

Smoothness of locally trivial deformation functors

Smoothness of flat deformation functors

Smoothness of log smooth deformation functors

Abstract

In this paper, we prove the smoothness of the functors of locally trivial deformations, flat deformations and log smooth deformations for irreducible type II degeneration of complex abelian surfaces.