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334: １３２人目の素数さん [] 2024/01/14(日) 09:37:09.38 ID:9ByocRDs Grothendieck local residues https://researchmap.jp/read0009257/presentations researchmap Tajima Shinichi (田島 慎一) Presentations Transformation law による Grothendieck local residue の計算 Tajima, Shinichi, 鍋島克輔 日本数学会函数論分科会, Sep 11, 2017 b-関数の根に付随したホロノミー系の局所コホモロジー解の計算 Tajima, Shinichi, 鍋島克輔 数式処理の新たな発展--その最新研究, Sep 6, 2017 Local cohomology, Grothendieck local residues and algorithms, Tajima,Shinichi Workshop on Rresidues, dynamics and hyperfunctions, Jul 24, 2017 Invited An algorithm for computing Grothendieck local residues I -- shape basis case -- Tajima, Shinichi, Ohara, K Applications of Computer Algebra 2017, Jul 16, 2017 https://en.wikipedia.org/wiki/Local_cohomology Local cohomology In algebraic geometry, local cohomology is an algebraic analogue of relative cohomology. Alexander Grothendieck introduced it in seminars in Harvard in 1961 written up by Hartshorne (1967), and in 1961-2 at IHES written up as SGA2 - Grothendieck (1968), republished as Grothendieck (2005). Given a function (more generally, a section of a quasicoherent sheaf) defined on an open subset of an algebraic variety (or scheme), local cohomology measures the obstruction to extending that function to a larger domain. The rational function 1/x, for example, http://rio2016.5ch.net/test/read.cgi/math/1693560419/334

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