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15
94
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Intersection of a locally complete intersection using Tor

Published on
#algebraic-geometry #schemes #intersection-theory
127
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Constant group schemes.

Published on
#algebraic-geometry #arithmetic-geometry
112
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How does one define a dimension of $V(F) = \{F = 0\}$ over the reals?

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#algebraic-geometry
85
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Is $\mathbb{R}^n$ a variety of $\mathbb{C}^n$?

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#complex-analysis #algebra-precalculus #algebraic-geometry #polynomials #complex-numbers
58
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The subgroup of an algbraic group generated by two non-irreductible closed subsets need not to be closed

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#group-theory #algebraic-geometry #algebraic-groups
211
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Dimension as a real manifold vs dimension as a real variety.

Published on
#differential-geometry #algebraic-geometry
145
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How to prove the real points of affine variety defined over the reals is a differentiable manifold?

Published on
#differential-geometry #algebraic-geometry #reference-request
173
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Sheaves on the product of algebraic varieties

Published on
#algebraic-geometry #sheaf-theory
105
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Example of blow-up of curve along subvariety with finite fields

Published on
#number-theory #algebraic-geometry #algebraic-curves #arithmetic-geometry #blowup
108
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Multiplicative group $\mathbb{G}_m$ is connected

Published on
#algebraic-geometry #algebraic-groups
294
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Global sections of the structure sheaf on $\mathbb{P}_{k}^{n}$ in negative degree

Published on
#algebraic-geometry #sheaf-theory #sheaf-cohomology #projective-schemes
36
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Number of roots in a special system of equations

Published on
#algebraic-geometry
18
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Rational fractions on affine algebraic sets

Published on
#algebraic-geometry #ring-theory
16
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How is dimension of $V(g_1|_{x=0})$ same as $V(g_1) \cap V(x_1)$?

Published on
#algebraic-geometry
470
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The closed points of a scheme and irreducibility

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#general-topology #algebraic-geometry #schemes

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