(Q1899432)

English

Grothendieck–Hirzebruch–Riemann–Roch theorem

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Statements

instance of

theorem

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named after

Alexander Grothendieck

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

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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

X

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smooth quasiprojective scheme

defining formula

Y

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proper morphism

defining formula

f

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Todd class

defining formula

\mathrm {td}

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Chern class

defining formula

\mathrm {ch}

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Push-forward (Chow groups)

defining formula

f_{*}

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Push-forward (Grothendieck groups)

defining formula

f_{!}

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Identifiers

Freebase ID

/m/058m3p

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Microsoft Academic ID

2778797676

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Sitelinks

Wikipedia(5 entries)

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

(Q1899432)

Grothendieck–Hirzebruch–Riemann–Roch theorem

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