Kähler differential

Summary

Kähler differential is a mathematical concept^[1]. It draws 56 Wikipedia views per month (mathematical_concept category, ranking #220 of 1,007).^[2]

Key Facts

• Kähler differential's instance of is recorded as mathematical concept^[3].
• Erich Kähler is named after Kähler differential^[4].
• Kähler differential's subclass of is recorded as algebraic construction^[5].
• Kähler differential's Freebase ID is recorded as /m/02vmrl^[6].
• Kähler differential's defining formula is recorded as \begin{aligned}\Omega_{S/R}&=(\ker\phi)/(\ker\phi)^2\\phi\colon S\otimes_RS&\to S\\sum_is_i\otimes t_i&\mapsto\sum_is_it_i\end{aligned}^[7].
• Kähler differential's studied by is recorded as commutative algebra^[8].
• Kähler differential's studied by is recorded as algebraic geometry^[9].
• Kähler differential's studied by is recorded as theory of Kähler differentials^[10].
• Kähler differential's nLab ID is recorded as Kähler differential^[11].
• Kähler differential's maintained by WikiProject is recorded as WikiProject Mathematics^[12].
• Kähler differential's Microsoft Academic ID is recorded as 87563457^[13].
• Kähler differential's in defining formula is recorded as \Omega_{S/R}^[14].
• Kähler differential's in defining formula is recorded as \ker^[15].
• Kähler differential's in defining formula is recorded as S^[16].
• Kähler differential's in defining formula is recorded as R^[17].
• Kähler differential's in defining formula is recorded as \otimes_R^[18].

Why It Matters

Kähler differential draws 56 Wikipedia views per month (mathematical_concept category, ranking #220 of 1,007).^[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.^[19] It is known by 5 alternative names across languages and contexts.^[20]