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 Apr 19 comment A Hartogs-type criterion for flatness Quotients by finite group actions give counter examples in the general case, e.g. see the answer to this question: mathoverflow.net/questions/169052/… Take $U = k^2$, $V = U\setminus$origin, $Y =$ image of $V$ by the quotient map. Apr 13 comment Is this method of finding a “dual curve” correct? Well, $(\Gamma^*)^* = \Gamma$, and $[a(t) : b(t):1]$ are points on $\Gamma$, so unless I am missing something, by definition of duality, the tangents to $\Gamma^*$ are precisely (modulo taking the closure) the lines $\{[x:y:1]: a(t)x + b(t)y + 1 = 0\}$. Mar 22 comment A question about homogenous polynomials of degree $\frac{n(n-1)}{2}$ Can you elaborate on what can be expected to be known about $f$? E.g: do you know a factorization, and expansions of the factors (as in your example)? Can you evaluate $f$ at (finite) sets of points? Mar 10 revised Resolution of the $E_8$ singularity with a weighted blowup added 1103 characters in body Mar 8 answered Resolution of the $E_8$ singularity with a weighted blowup Feb 25 awarded Nice Question Feb 3 awarded Popular Question Nov 23 awarded Nice Question Nov 19 comment Standard polynomials applied to matrices (bis) How do you get a map from $M_2(\mathbb{R})$ to itself via $S_2$? Do you fix one of the factors? Nov 17 awarded Popular Question Nov 5 awarded Yearling Oct 22 awarded Popular Question Oct 22 answered Can a curve intersect a given curve only at given points? Oct 21 awarded Enlightened Oct 21 awarded Nice Answer Jun 5 revised When is $f(x^d)$ irreducible? added 344 characters in body Jun 5 revised When is $f(x^d)$ irreducible? added 75 characters in body Jun 5 answered When is $f(x^d)$ irreducible? Jun 5 accepted The space of polynomials with all real roots Jun 5 revised The space of polynomials with all real roots added 255 characters in body