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Answers
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Algebraicity of the canonical projection $X(\Gamma)\to X(1)$ and of $X(\Gamma)$
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Top chern class under finite, unramified, dominant morphism
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Dual (/reduction?) graph of a curve
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Overview of Arakelov intersection theory and the Arakelov Chow ring
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Shimura-Taniyama-Weil VS Grothendieck’s dessins
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What are supersingular varieties?
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Do etale neighhbourhoods of a subvariety descend along base field extensions; does normalization commute with etale base change?
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Dimension of affine variety
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Learning Arakelov geometry
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What is the difference between Grothendieck groups K_0(X) vs K^0(X) on schemes?
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Dualizing sheaf on varieties
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Which conjectures only need the Grand Riemann Hypothesis to become genuine theorems?
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Reference for Spec as a functor between affine schemes and algebras
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What should I read before reading about Arakelov theory?
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Applications of Grothendieck-Riemann-Roch?
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Books you would like to read (if somebody would just write them…)
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Algebraic surfaces and their (intrinsic) geometry