diff --git a/derham.tex b/derham.tex index 07a90b04a..db95de8c8 100644 --- a/derham.tex +++ b/derham.tex @@ -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}) diff --git a/tags/tags b/tags/tags index 2664b84d8..02146e48f 100644 --- a/tags/tags +++ b/tags/tags @@ -19492,3 +19492,58 @@ 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