3,331 reputation
630
bio website nullteilerfrei.de
location Germany
age 28
visits member for 2 years, 10 months
seen 14 hours ago

I'm a PhD student with research interests in Algebraic Geometry, Algebraic Complexity Theory and Geometric Invariant Theory.


Feb
27
awarded  Custodian
Feb
27
reviewed Reviewed How to find perpendicular vector to another vector?
Feb
27
revised How to find perpendicular vector to another vector?
added 26 characters in body
Feb
27
comment Determining whether $\mathbb{C}[X,Y]/(P)$ is a domain, principal, or factorial from geometry.
My goodness, I was very sloppy. Of course we have to take the radical. @ZhenLin: This should be correct now, you agree?
Feb
27
revised Determining whether $\mathbb{C}[X,Y]/(P)$ is a domain, principal, or factorial from geometry.
added 35 characters in body
Feb
27
awarded  Civic Duty
Feb
27
answered Determining whether $\mathbb{C}[X,Y]/(P)$ is a domain, principal, or factorial from geometry.
Feb
26
comment Determining whether $\mathbb{C}[X,Y]/(P)$ is a domain, principal, or factorial from geometry.
I have added the tag for algebraic geometry because that's basically what you are asking about. Indeed, the geometric properties of (for instance) a curve are closely related to its ring of regular functions, i.e. the ring $\mathbb C[X,Y]/(f)$ where $f$ is the polynomial defining the curve.
Feb
26
revised Determining whether $\mathbb{C}[X,Y]/(P)$ is a domain, principal, or factorial from geometry.
edited tags
Feb
26
comment Abstract nonsense proof of snake lemma
@Zhen Lin: I don't see how that would work. We could apply the lemma, but we would apply it to a totally different diagram. We could not conclude that $(\Psi,\theta)$ is exact. What we really need is the fact that $\Gamma=\mathrm{Ker}(\lambda)$, and I do not see why this holds.
Feb
26
awarded  Nice Question
Feb
26
comment Abstract nonsense proof of snake lemma
@Zhen Lin: There you go!
Feb
26
comment Abstract nonsense proof of snake lemma
@Haskell Curry: Thanks for the tip, but Saunders Mac Lane has never really worked that well for me. If I get no answer to this question I might check it out, but usually I prefer Borceux' writing style.
Feb
26
revised Abstract nonsense proof of snake lemma
added pictures.
Feb
26
asked Abstract nonsense proof of snake lemma
Feb
18
comment Formula for evaluation of character on a transposition
ooooooohhhhh .... that makes more sense now. xD
Feb
18
comment Formula for evaluation of character on a transposition
Alright then, I shall accept this answer. Thanks a bunch for the research, I am quite happy to know that the Sitzungsberichte can be accessed via arXiv.
Feb
18
accepted Formula for evaluation of character on a transposition
Feb
13
answered Computational commutative algebra: term orders
Feb
13
comment Material in a first course in algebraic geometry?
I second the recommendation of Gathmann's script, it can be found here.