algebraic geometry

"2022年、BodnarらはNeurIPSで「ニューラル層拡散」を発表し、200年前の層の理論をGNNに導入し、過剰平滑化とヘテロフィリーの両方を一挙に解決しました。"

"2025年、NeurIPSとICMLの採択論文において、「Sheaf」、「Categorical」、「代数幾何学」という言葉が急増しています。これは偶然ではありません。"

"「その後、すべてが自然にうまくいきました」と、Chenは述べています。"

"The American Mathematical Society president said it was 'rigorous, correct, and elegant.'"

"The article's title indicates it is part of a series focusing on moduli of surfaces fibered in (log) Calabi-Yau pairs."

"The article's source is ArXiv."

"The paper focuses on the Kähler-Ricci flow."

"The context provided only states the title and source."

"The research is sourced from ArXiv."

"The article's topic is the radicality of ideals generated by adjacent 2-minors."

"The article's subject matter involves the $h$-topology for rigid spaces and its connection to the $p$-adic Simpson correspondence."

"The article focuses on critical points of degenerate metrics on algebraic varieties."

"The article is from ArXiv, indicating it is a pre-print publication."

"The paper focuses on quiver braid group action for a 3-fold crepant resolution."

"The paper investigates the cohomology of compactified Jacobians for locally planar integral curves."

"The provided context is too sparse to extract a key fact."