Guess today’s property of scheme morphisms.

Today’s answer is a property of scheme morphisms. You have six valid, distinct guesses to find the exact property. Green is an exact attribute match, amber is a partial match, red is different, and grey means unknown or not audited. Twins are allowed.

IMM

Whether open immersions, closed immersions, both, or neither always have the property.

LOCS

Zariski-local on the source.

LOCT

Zariski-local on the target.

COMP

Stable under composition.

BC

Stable under arbitrary base change.

LCANC

Whether P(g∘f) forces P(f), sometimes conditionally.

RCANC

Whether P(g∘f) forces P(g), sometimes conditionally.

IND

Compatible with the specified inverse-limit setup.

DESC

Descends through faithfully flat quasi-compact base change.

REL

The unconditional implication relation between guess and answer.