Tagged Questions
19
votes
0answers
540 views
Grothendieck 's question - any update?
I was reading Barry Mazur's biography and come across this part:
Grothendieck was exceptionally patient with me, for when we first met I knew next to nothing about algebra. In one of his first ...
4
votes
0answers
97 views
Symmetric product of genus 2-surface
Let $\Sigma$ be the genus 2-surface.
Denote $\operatorname{Sym}^2(\Sigma)=\Sigma\times \Sigma/\mathbb{Z}/2$, where $\mathbb{Z}/2$ acts on $\Sigma\times \Sigma$ by $(x,y)\mapsto (y,x)$.
In the very ...
1
vote
1answer
74 views
Given lattice G; parameters of torus R^2/G?
This should be a simple, known result, but I can't seem to find it.
Given a lattice $\Gamma = m\mathbb{Z} \times n\mathbb{Z}$, $\mathbb{R}^2/\Gamma$ is topologically a torus. For suitable $m$ and ...
1
vote
1answer
79 views
Number of components of complement to a reducible real algebraic hypersurface
Let $X_1,\ldots X_k$ be irreducible(may be singular) affine real algebraic hypersurfaces in $R^n$ with $x_1,\ldots, x_k$ connected components, respectively.
Let $G_1,\ldots, G_l$ be their ...
49
votes
1answer
2k views
Trigonometric sums related to the Verlinde formula
Original question (see also the revised, possibly simpler, version below): Let $g > 1, r > 1$ be integers. Playing around with the Verlinde formula (see below), I came across the expression
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