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order of $x$,$y$ of $y^2+a_1xy+a_3y=x^3+a_2x^2+a_4x+a_6\text{ over a field K.}$

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#elliptic-curves #affine-varieties
135
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Isomorphism map keep smoothness?

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#algebraic-geometry #elliptic-curves #algebraic-curves #affine-varieties #projective-varieties
243
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The tangent space to an affine variety has a "local formulation".

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#abstract-algebra #algebraic-geometry #affine-varieties
278
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The point $a \in X$ is smooth then there is only one irreducible component of $X$ meeting $a$.

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#abstract-algebra #algebraic-geometry #commutative-algebra #affine-varieties
369
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The two rings are not isomorphic - why?

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#abstract-algebra #ring-theory #commutative-algebra #affine-varieties
409
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Dimension of irreducible affine set is the same as the dimension of any open subset

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#algebraic-geometry #commutative-algebra #field-theory #affine-varieties
392
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Is an irreducible affine variety isomorphic to some affine hypersurface?

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#algebraic-geometry #reference-request #soft-question #affine-varieties #birational-geometry
239
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Finitely Generated $k$-algebra has algebraically independent generators

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#abstract-algebra #algebraic-geometry #affine-varieties
157
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Local path-connectedness of an irreducible affine variety under the Euclidean topology

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#algebraic-geometry #solution-verification #affine-varieties
192
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Dimension of the image of an algebraic map restricted to a variety

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#differential-geometry #algebraic-geometry #solution-verification #affine-varieties
62
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Is the commutator of two matrices a submersion?

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#linear-algebra #matrices #algebraic-geometry #affine-varieties
298
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Geometric intuition of the tangent cone.

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#algebraic-geometry #affine-varieties
624
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Dimension of the tangent space in algebraic geometry

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#algebraic-geometry #affine-varieties #tangent-spaces
230
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Question 1.17 from Fulton's Algebraic Curves

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#algebraic-geometry #affine-varieties #multivariate-polynomial
40
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Does desingularization preserve connectedness?

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#algebraic-geometry #connectedness #affine-varieties

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