List questions from affine-varieties

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Show that $\mathfrak{sl}_n$ is the Lie algebra of the algebraic group $SL_n$

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Find an isomorphism between an open subset of $\mathbb{A}^1_\mathbb{C}$ and $V(x^2+y^2-1)\subset\mathbb{A}^2_\mathbb{C}$

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Showing a map from projective space can't be extended

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Subprevarieties are locally closed?

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On a special map $ \operatorname {Spec}(\mathbb C[x,z]) \to \operatorname {Spec}(\mathbb C[x,y])$

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Tangent bundle for smooth algebraic variety

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What is the precise meaning of residue of a smooth variety?

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Questions regarding Gathmann's motivations for schemes

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Using the comparison between Euclidean and Zariski topology to prove that subsets are not affine varieties

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Rational Normal Cone of degree d

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Ideal of rational normal cone of degree d

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On embedding $\mathbb C[x_1,...,x_d]/P $ inside $\mathbb C[[T]]$

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Verify (ir)reducibility of systems of polynomials arising from representation problems over polynomial ring

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List Question

Change of Variables -- is it always an isomorphism?

Show that $\mathfrak{sl}_n$ is the Lie algebra of the algebraic group $SL_n$

Find an isomorphism between an open subset of $\mathbb{A}^1_\mathbb{C}$ and $V(x^2+y^2-1)\subset\mathbb{A}^2_\mathbb{C}$

An exercise about pullback morphism between rings of regular functions.

Showing a map from projective space can't be extended

Subprevarieties are locally closed?

On a special map $ \operatorname {Spec}(\mathbb C[x,z]) \to \operatorname {Spec}(\mathbb C[x,y])$

Tangent bundle for smooth algebraic variety

What is the precise meaning of residue of a smooth variety?

Questions regarding Gathmann's motivations for schemes

Using the comparison between Euclidean and Zariski topology to prove that subsets are not affine varieties

Rational Normal Cone of degree d

Ideal of rational normal cone of degree d

On embedding $\mathbb C[x_1,...,x_d]/P $ inside $\mathbb C[[T]]$

Verify (ir)reducibility of systems of polynomials arising from representation problems over polynomial ring

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