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aisejohan committed Oct 6, 2019
1 parent fdad360 commit 4e7bbd67d9a9421916afc86d81a6cde6cf4b2292
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@@ -622,7 +622,7 @@ \section{K\"unneth formula}
\noindent
If $S = \Spec(A)$ is affine, then combining the result of
Lemma \ref{lemma-de-rham-complex-product} with the cup product map of
Derived Categories, Equation (\ref{perfect-equation-de-rham-kunneth})
Derived Categories of Schemes, Equation (\ref{perfect-equation-de-rham-kunneth})
we obtain a cup product
$$
R\Gamma(X, \Omega^\bullet_{X/S})
0FLD,derham-example-Garel
0FLE,derham-section-first-chern-class
0FLF,resolve-remark-compare-Garel
0FLG,homology-remark-shift-double-complex
0FLH,cohomology-lemma-cech-complex-complex-computes
0FLI,cohomology-remark-shift-complex-cech-complex
0FLJ,cohomology-section-cohomology-filtered-object
0FLK,cohomology-example-spectral-sequence-bis
0FLL,cohomology-lemma-relative-spectral-sequence-filtered-object
0FLM,morphisms-lemma-pushforward-flat-affine
0FLN,perfect-section-kunneth
0FLP,perfect-equation-kunneth
0FLQ,perfect-lemma-kunneth
0FLR,perfect-equation-de-rham-kunneth
0FLS,perfect-remark-silly
0FLT,perfect-lemma-kunneth-special
0FLU,perfect-equation-kunneth-on-cech
0FLV,derham-lemma-etale
0FLW,derham-lemma-de-rham-affine
0FLX,derham-lemma-quasi-coherence-relative
0FLY,derham-lemma-coherence-relative
0FLZ,derham-lemma-finite-de-Rham
0FM0,derham-lemma-proper-smooth-de-Rham
0FM1,derham-section-cup-product
0FM2,derham-equation-wedge
0FM3,derham-lemma-cup-product-graded-commutative
0FM4,derham-section-hodge-cohomology
0FM5,derham-lemma-cup-product-hodge-graded-commutative
0FM6,derham-section-hdoge-to-de-rham
0FM7,derham-section-hodge-filtration
0FM8,derham-definition-hodge-filtration
0FM9,derham-section-kunneth
0FMA,derham-lemma-de-rham-complex-product
0FMB,derham-lemma-kunneth-de-rham
0FMC,derham-lemma-kunneth-de-rham-relative
0FMD,derham-lemma-pullback-c1
0FME,derham-remark-truncations
0FMF,derham-remark-log-forms
0FMG,derham-section-projective-space
0FMH,derham-lemma-euler-sequence
0FMI,derham-lemma-hodge-cohomology-projective-space
0FMJ,derham-lemma-de-rham-cohomology-projective-space
0FMK,derham-section-relative-spectral-sequence
0FML,derham-lemma-cohomology-de-rham-base-change
0FMM,derham-lemma-spectral-sequence-smooth
0FMN,derham-remark-gauss-manin
0FMP,derham-lemma-relative-global-generation-on-fibres
0FMQ,derham-lemma-K-flat
0FMR,derham-proposition-global-generation-on-fibres
0FMS,derham-section-projective-space-bundle-formula
0FMT,derham-proposition-projective-space-bundle-formula
0FMU,derham-section-divisor
0FMV,derham-definition-local-product
0FMW,derham-lemma-log-complex
0FMX,derham-lemma-log-complex-consequence
0FMY,derham-lemma-check-log-smooth
0FMZ,derham-remark-check-log-completion-1
0FN0,derham-remark-check-log-completion-2

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