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Concerning $\mathbb{C}(s_1,s_2,s_3,y)=\mathbb{C}(x,y)$, where $s_1,s_2,s_3$ are symmetric

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#algebraic-geometry #polynomials #commutative-algebra #birational-geometry #involutions
397
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Blow up the elliptic singularity $x^2+y^3+z^6=0$

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#algebraic-geometry #blowup #birational-geometry
43
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$\mathbb{C}(s_1,s_2,k)=\mathbb{C}(x,y)$, where $s_1,s_2$ are symmetric and $k$ is skew-symmetric

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#algebraic-geometry #polynomials #commutative-algebra #birational-geometry #involutions
321
Views

Sections of the exceptional divisor of a blowup

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#algebraic-geometry #blowup #birational-geometry
175
Views

The image of the point at infinity under birational equivalence from an elliptic curve

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#algebraic-geometry #diophantine-equations #elliptic-curves #birational-geometry
492
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Why is the blow-up of 9 points an elliptic surface?

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#algebraic-geometry #elliptic-curves #blowup #birational-geometry
145
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Very simple characterisation of $(-1)$-curves

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#algebraic-geometry #complex-geometry #surfaces #birational-geometry
199
Views

Intersection of pullback divisor and exceptional divisor

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#algebraic-geometry #birational-geometry
667
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$P^2$ blow up nine points

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#algebraic-geometry #blowup #birational-geometry
555
Views

Interpretation and Implications of the Abundance Conjecture

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#algebraic-geometry #conjectures #open-problem #birational-geometry
255
Views

Hartshorne's proof of Castelnuovo's theorem

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#algebraic-geometry #surfaces #birational-geometry
77
Views

Intuition for strong $n$-complements in birational algebraic geometry.

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#algebraic-geometry #birational-geometry
81
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How to write $x= \sqrt{n^2+2}$ as a continued fraction and prove that x is irrational?

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#functions #fractions #continued-fractions #birational-geometry
724
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Why the exceptional divisor of blowup of $\{x^2+yt=0\}$ has multiplicity one (but not two)?

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#algebraic-geometry #blowup #birational-geometry
196
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general questions about algebraic surfaces and Castelnuovo's contraction theorem

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#algebraic-geometry #intersection-theory #birational-geometry

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