# Fermion

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bio website location age member for 2 years, 1 month seen Mar 23 at 2:39 profile views 307

I am a math PhD student and interested in many things: (non-commutative) algebraic geometry, arithmetic geometry and mathematical physics

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 Mar1 comment Non-separatedness of moduli space of sheaves It seems to me that graded quotients (with obvious filtration) of the two bundles are different. One consists of two $\mathcal{O}$ and the other consists of $\mathcal{O}(-1)$ and $\mathcal{O}(1)$. Mar1 accepted Non-separatedness of moduli space of sheaves Mar1 asked Non-separatedness of moduli space of sheaves Feb24 accepted How to obtain $Z(\Sigma_f)=\text{Trace}\ \Sigma(f)$ in TQFT? Feb24 comment How to obtain $Z(\Sigma_f)=\text{Trace}\ \Sigma(f)$ in TQFT? Thank you very much, abx! Feb24 comment How to obtain $Z(\Sigma_f)=\text{Trace}\ \Sigma(f)$ in TQFT? Can I ask why your paring is the natural one? Feb24 comment How to obtain $Z(\Sigma_f)=\text{Trace}\ \Sigma(f)$ in TQFT? Thanks for the answer, but I don't understand the last sentence. Where did you use the associativity axiom and how did you get the trace? Feb24 asked How to obtain $Z(\Sigma_f)=\text{Trace}\ \Sigma(f)$ in TQFT? Feb22 awarded Yearling Dec17 comment Explicit examples presheaves associated to higher direct images which fail to be sheaves As to the first case, why don't the local sections glue to a global one? What's wrong with $H^1(X,\mathbb{Z})$? Dec5 awarded Nice Question Nov3 comment How to determine $O(L)$ is finite or not? You are right. $2$ should be $k$ in the comment above. Thank you for the clarification. Nov3 comment How to determine $O(L)$ is finite or not? I thought any automorphism of $U(k)$ is induced by that of $U$. Am I wrong? Nov3 comment How to determine $O(L)$ is finite or not? Sorry for the confusion. I denote by $U(k)$ the hyperbolic lattice mulptiplied by $k$. So there are basis $e,f$ with $e^2=f^2=(e,f)-2=0$. Nov2 comment How to determine $O(L)$ is finite or not? Isn't $O(U(K)))$ finite? Oct31 comment How to determine $O(L)$ is finite or not? Do you mean $U(k)$ by the hyperbolic plane? Sep4 revised Classification of involutions of the lattice $H\oplus H(k)^{\oplus2}$ for $k=5,6$? added 24 characters in body; edited tags Sep1 asked Moduli space of K3 surfaces and Bogomolov-Tian-Todorov theorem Aug31 revised Classification of involutions of the lattice $H\oplus H(k)^{\oplus2}$ for $k=5,6$? added 70 characters in body Aug31 asked Classification of involutions of the lattice $H\oplus H(k)^{\oplus2}$ for $k=5,6$?