# All Questions

10 views

### Example of symplectic 4-manifolds with no Lefschetz fibration structure?

I just read about Donaldson's result on existence of Lefschetz pencil structure on symplectic manifolds (Donaldson 1999). However, one have to blow up the base locus to get a Lefschetz fibration ...
17 views

35 views

### Bounding a ratio by its complement [on hold]

Given some integers $n > \beta + \alpha, \beta > \alpha$ and $\alpha > 0$, is there a real number $\delta$ for which $\frac{n-\alpha}{n-\beta} \geq (\frac{\beta}{\alpha})^{\delta}$, where ...
43 views

### How to see that this pairing of line bundles is multiplicative?

Given a projective flat morphism $p: X \rightarrow Y$ of integral noetherian schemes of relative dimension one. For a coherent sheaf $F$ on $Y$ we can define a line bundle $det(F)$ on $Y$ and for a ...
95 views

### A question on polynomials with finite field and integer coefficients

Originallly posted here http://math.stackexchange.com/questions/1034144/on-polynomials-over-finite-fields but surprisingly no answers there but upvotes. So reposting for clarification? Pick prime ...
34 views

### Worst-Case Solution to (Stochastic) Matrix Inequality

This problem comes with an associated stochastic process, but I phrase everything as linear algebra in case somebody from a non-probability community has seen this before (the question is simple ...
22 views

### Reference for a special case of the Hanson-Wright inequality

I would like find tail bounds for the expression \begin{align*} \left|\left\langle a,\phi\right\rangle \left\langle \phi,b\right\rangle -\left\langle a,b\right\rangle\right|, \end{align*} where ...
112 views