Question

Computing $\operatorname{div}(f)$ and $\operatorname{div}(df)$ for $f=\frac{xs}{yt}$

score 81 · Answer 1 · 2026-04-15 22:47:05

81

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Computing $\operatorname{div}(f)$ and $\operatorname{div}(df)$ for $f=\frac{xs}{yt}$

Published on 15 Apr 2026 - 22:47

score 54 · Answer 2 · 2026-04-11 18:32:46

54

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Does Fulton's proof of Cayley-Bacharach Theorem (two cubics that intersect a third cubic in 8 points share the 9th) require proof by contradiction?

Published on 11 Apr 2026 - 18:32

score 25 · Answer 3 · 2026-05-11 01:12:55

25

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Conditions necessary for the zero set of $Ax^3+Bx^2y+Cxy^2+Dy^3+Ex^2+Fxy+Gy^2+Hx+Iy+J$ to be an irreducible singular curve

Published on 11 May 2026 - 1:12

score 81 · Answer 4 · 2026-04-15 11:32:48

81

Views

Sufficient condition for a quartic curve to be birationally equivalent to an elliptic curve

Published on 15 Apr 2026 - 11:32

score 56 · Answer 5 · 2026-04-12 09:13:45

56

Views

Zariski closure of a sequence

Published on 12 Apr 2026 - 9:13

score 97 · Answer 6 · 2026-04-16 09:23:26

97

Views

Reference request: The ring $k[x_1, \dotsc, x_n]/I$ as a limit of functions with distinct zeroes

Published on 16 Apr 2026 - 9:23

score 30 · Answer 7 · 2026-04-16 11:24:16

Why isn't the zero locus of $y^3-x^2-y$ the union of the respective zero loci of 3 expressions of the form $y-f(x)$?

score 50 · Answer 8 · 2026-04-15 10:50:03

50

Views

An exercise of R. Friedman's Algebraic Surfaces and Holomorphic Vector Bundles.

Published on 15 Apr 2026 - 10:50

score 97 · Answer 9 · 2026-04-12 00:26:14

97

Views

To what extent does learning scheme theory help with more classical algebraic geometry?

Published on 12 Apr 2026 - 0:26

score 106 · Answer 10 · 2026-05-11 03:10:21

106

Views

Degree-$p$ étale covers of affine line

Published on 11 May 2026 - 3:10

score 27 · Answer 11 · 2026-04-13 01:51:56

27

Views

Does a kind of real plane algebraic curve always have a factorization corresponding to connected components?

Published on 13 Apr 2026 - 1:51

score 155 · Answer 12 · 2026-04-16 22:03:06

155

Views

Prove that $\int_0^1\frac{dx}{\sqrt{4x^5+1}}=\frac{\Gamma(\frac 3{10})\Gamma(\frac 65)}{2^{2/5}\Gamma(\frac 12)}\frac{5+\sqrt 5}{10}$

Published on 16 Apr 2026 - 22:03

score 16 · Answer 13 · 2026-04-13 21:37:38

16

Views

Using the image of a line in a discrete valuation ring (DVR) as a uniformizing parameter (uniformizer)

Published on 13 Apr 2026 - 21:37

score 69 · Answer 14 · 2026-04-13 18:36:49

69

Views

Global sections of a curve compoare to global sections of the reduced curve

Published on 13 Apr 2026 - 18:36

score 57 · Answer 15 · 2026-04-13 03:33:01

57

Views

Conditions for a well-defined map on a variety $A\subset \mathbb{P}^2$

Published on 13 Apr 2026 - 3:33

List Question

Computing $\operatorname{div}(f)$ and $\operatorname{div}(df)$ for $f=\frac{xs}{yt}$

Does Fulton's proof of Cayley-Bacharach Theorem (two cubics that intersect a third cubic in 8 points share the 9th) require proof by contradiction?

Conditions necessary for the zero set of $Ax^3+Bx^2y+Cxy^2+Dy^3+Ex^2+Fxy+Gy^2+Hx+Iy+J$ to be an irreducible singular curve

Sufficient condition for a quartic curve to be birationally equivalent to an elliptic curve

Zariski closure of a sequence

Reference request: The ring $k[x_1, \dotsc, x_n]/I$ as a limit of functions with distinct zeroes

Why isn't the zero locus of $y^3-x^2-y$ the union of the respective zero loci of 3 expressions of the form $y-f(x)$?

An exercise of R. Friedman's Algebraic Surfaces and Holomorphic Vector Bundles.

To what extent does learning scheme theory help with more classical algebraic geometry?

Degree-$p$ étale covers of affine line

Does a kind of real plane algebraic curve always have a factorization corresponding to connected components?

Prove that $\int_0^1\frac{dx}{\sqrt{4x^5+1}}=\frac{\Gamma(\frac 3{10})\Gamma(\frac 65)}{2^{2/5}\Gamma(\frac 12)}\frac{5+\sqrt 5}{10}$

Using the image of a line in a discrete valuation ring (DVR) as a uniformizing parameter (uniformizer)

Global sections of a curve compoare to global sections of the reduced curve

Conditions for a well-defined map on a variety $A\subset \mathbb{P}^2$

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