# LimaBean

 Sep 22 awarded Great Question May 17 comment Calculating Topological GenusIf you want to make your comment and answer, I can choose it as correct. May 17 asked Calculating Topological Genus May 13 awarded Caucus Apr 24 comment Finding a solution to the recurrence relation $T(n) = T(n-1) + T(n/2) + n$It's a fantastic answer. Apr 24 comment Finding a solution to the recurrence relation $T(n) = T(n-1) + T(n/2) + n$"Getting the particular solution part is very easy." "But getting the particular solution part is very difficult." Apr 13 accepted Do Groebner bases give the smallest generating set for Ideals? Apr 13 comment Do Groebner bases give the smallest generating set for Ideals?Where can I learn more about finding minimal generating set? Is there some notion of dimension analogous to linear algebra? Apr 13 asked Do Groebner bases give the smallest generating set for Ideals? Apr 6 comment Harris' AG ex 2.24: projective variety under regular map.First of all, thank you so much for your help. Second, Which book do you recommend for an absolute beginner? Lots of books seem to offer pretty convoluted definitions for concepts that I imagine have rich intuitive meaning and a lot of the beauty seems to be getting lost in commutative algebra (which I also have never studied). Apr 6 accepted Harris' AG ex 2.24: projective variety under regular map. Apr 5 revised Harris' AG ex 2.24: projective variety under regular map.edited title Apr 5 revised Harris' AG ex 2.24: projective variety under regular map.added 4 characters in body Apr 5 comment Harris' AG ex 2.24: projective variety under regular map.And defining it as $x_{n+i}^d-\phi_i$ would clearly not work, since our points on the graph don't satisfy this polynomial. I just cannot think of a way to get homogenous polynomials that would just carve out the image of the regular map. That is, is the bigger graph where we are just looking at the regular map between the two projective spaces? Apr 5 comment Harris' AG ex 2.24: projective variety under regular map.Sure sure. Restricting our attention to just the $\phi_i$ being homogenous and of the same degree, say $d$, how should I define the polynomials, since I cannot just use $x_{n+i}-\phi_i$ (as I would in the affine case) since this is not homogenous. Apr 5 accepted Quadratic Extension of Finite field Apr 5 accepted A linear subspace of projective space Apr 5 accepted Is primitivity invariant under matrix conjugation. Apr 5 accepted Show that $k[x,y,z]/(xz-y^2)$ is not a UFD. Apr 5 revised Harris' AG ex 2.24: projective variety under regular map.added 17 characters in body