List questions from function-fields

Published on 22 Sep 2019 - 15:52

97

Views

Factorizarion criterium to decide whether $K$ is the full constant field of $F/K$

Published on 24 Sep 2019 - 21:43

304

Views

Is the polynomial degree (difference) a valuation?

Published on 26 Sep 2019 - 0:01

50

Views

If $F=\mathbb{R}(x,y)$ with $x^2+y^2+1=0$, then all places of $F/\mathbb{R}$ has degree $2$

Published on 26 Sep 2019 - 17:04

129

Views

Function field $F/K$, then $\exists$ a divisor $A$ with $\deg(A)=g$ and $\ell(A)=1$

Published on 28 Sep 2019 - 1:53

159

Views

Geometric meaning of the splitting field over a function field

Published on 12 May 2014 - 16:28

147

Views

Function fields for genus 2 curves

Published on 01 Jun 2014 - 13:17

230

Views

Is the following a field?

Published on 05 Jun 2014 - 20:30

195

Views

Function field of a projective variety

Published on 12 Jun 2014 - 15:21

150

Views

Find valuation rings of the function field $k(x,y)/k(xy)$ which do not contain $k[x,y]$.

Published on 11 Aug 2014 - 22:53

146

Views

$\dim (D-P)=\dim (D)-1$

Published on 09 Sep 2014 - 20:00

156

Views

Explicit examples of higher genus Drinfeld modules?

Published on 06 Nov 2014 - 4:30

64

Views

genus of the field $\mathbb{R}(x,y)$ where $x^2+y^2+1=0$

Published on 07 Nov 2014 - 8:27

217

Views

valuation on function fields

Published on 18 Nov 2014 - 23:27

59

Views

When is a holomorphy ring a PID?

Published on 22 Nov 2014 - 14:52

List Question

Why assume $K$ is the full constant field of $F|K$?

Factorizarion criterium to decide whether $K$ is the full constant field of $F/K$

Is the polynomial degree (difference) a valuation?

If $F=\mathbb{R}(x,y)$ with $x^2+y^2+1=0$, then all places of $F/\mathbb{R}$ has degree $2$

Function field $F/K$, then $\exists$ a divisor $A$ with $\deg(A)=g$ and $\ell(A)=1$

Geometric meaning of the splitting field over a function field

Function fields for genus 2 curves

Is the following a field?

Function field of a projective variety

Find valuation rings of the function field $k(x,y)/k(xy)$ which do not contain $k[x,y]$.

$\dim (D-P)=\dim (D)-1$

Explicit examples of higher genus Drinfeld modules?

genus of the field $\mathbb{R}(x,y)$ where $x^2+y^2+1=0$

valuation on function fields

When is a holomorphy ring a PID?

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