Grothendieck–Hirzebruch–Riemann–Roch theorem (Q1899432)

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Result in algebraic geometry

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Language	Label	Description	Also known as
English	Grothendieck–Hirzebruch–Riemann–Roch theorem	Result in algebraic geometry

Statements

instance of

theorem

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part of

list of theorems

language of work or name

English

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named after

Alexander Grothendieck

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Friedrich Hirzebruch

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Bernhard Riemann

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Gustav Roch

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studied in

category theory

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defining formula

${\displaystyle {\mbox{ch}}(f_{\mbox{!}}{\mathcal {F}}^{\bullet }){\mbox{td}}(Y)=f_{*}({\mbox{ch}}({\mathcal {F}}^{\bullet }){\mbox{td}}(X))}$

1 reference

imported from Wikimedia project

English Wikipedia

proved by

Alexander Grothendieck

point in time

1957

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maintained by WikiProject

WikiProject Mathematics

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has part(s)

smooth quasiprojective scheme

defining formula

${\displaystyle X}$

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smooth quasiprojective scheme

defining formula

${\displaystyle Y}$

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proper morphism

defining formula

${\displaystyle f}$

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Todd class

defining formula

${\displaystyle \mathrm {td} }$

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Chern class

defining formula

${\displaystyle \mathrm {ch} }$

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Push-forward (Chow groups)

defining formula

${\displaystyle f_{*}}$

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Push-forward (Grothendieck groups)

defining formula

${\displaystyle f_{!}}$

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Identifiers

Freebase ID

/m/058m3p

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Microsoft Academic ID

2778797676

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Sitelinks

Wikipedia(6 entries)

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• elwiki Θεώρημα Γκρότεντικ-Ρίμαν-Ροτς
• enwiki Grothendieck–Riemann–Roch theorem
• frwiki Théorème de Grothendieck-Hirzebruch-Riemann-Roch
• kowiki 그로텐디크-리만-로흐 정리
• nlwiki Stelling van Grothendieck-Hirzebruch-Riemann-Roch
• zhwiki 格罗滕迪克-黎曼-罗赫定理

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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