# All Questions

148,337 questions
Filter by
Sorted by
Tagged with
1 vote
9 views

### When is the albanese map an embedding

Let $S$ be a surface defined over a firld $K$, when is the albanese map $S\longrightarrow \text{Alb}(S)$ an embedding? For curves, for example, with genus at least 2, there is a morphism between the ...
1 vote
26 views

### An alternative definition for Hilbert cube manifolds

Let $Q=\prod_{i=0}^{+\infty}[-1,1]$ with the product topology be the seperable Hilbert cube and $Q_{n}=\prod_{i=0}^{n-1}[-1,1]$ be the finite dimensional cubes. Recall that an $n$-dimensional ...
1 vote
16 views

1 vote
98 views

### A non-example of a graded Frobenius algebra

Take the class of finite dimensional graded algebras $A = \sum_i A_i$ satisfying $|A_n| = 1$ where $A_n \neq 0$ and $A_m = 0$, for all $m > n$. What is an example in this class that is not ...
77 views

### Approximating $L^p$ functions by eigenfunctions of Laplacian

I'm reading a paper https://www.sciencedirect.com/science/article/pii/S0022039608004932. In this paper, the authors assume that $\mathcal{O}$ is a bounded domain of $\mathbb{R}^N$ with $C^m$ boundary ...
52 views

### please help me solve the problem from the textbook. I can't understand her in any way [closed]

task text: The fishing net has the shape of a rectangle of size 245.0 x 350.0 cells. Inside the net there is a rectangular hole of size 100.0 x 155.0 cells (the boundary of the hole is whole). What is ...
1 vote
112 views

85 views

57 views

### Markov process with time varying transition kernels

I cross post this question from StackExchange as it may be more appropriate. I am interested in studying the evolution of a variable $\alpha_t\in [0,1]$ governed by the following stochastic dynamical ...
1 vote
94 views

### Is this class of $p$-groups large?

Call a $p$-group $G$ good if for each subgroups $H, H_1, H_2\subseteq G$ for which $H_1\subseteq H$, $H_2\subseteq H$, $|H_1| = |H_2| = |H|/p$, $H_1\not= H_2$, $H'\not=\{e\}$ holds we have that there ...
1 vote
Suppose $K$ is a unramified finite extension of $\mathbb Q_p$, and $X$ is a projective smooth curve defined over $K$. By $p$-adic Hodge theory we know $D_{cris}(H_{et}^i(X,\mathbb Q_p))=H_{dR}^i(X)$. ...