Non-factorial nodal complete intersection threefolds

TL;DR

This paper establishes a bound on the minimal number of singularities for certain nodal projective threefolds containing a specific type of smooth surface, advancing understanding of their geometric properties.

Contribution

It provides a new bound on singularities for nodal complete intersection threefolds with a non-Cartier divisor surface.

Findings

Bound on the minimal number of singularities established

Characterization of nodal complete intersection threefolds

Insights into the structure of non-Cartier divisor surfaces

Abstract

We give a bound on the minimal number of singularities of a nodal projective complete intersection threefold which contains a smooth complete intersection surface that is not a Cartier divisor.