Skip to main content

All Questions

Filter by
Sorted by
Tagged with
0 votes
0 answers
154 views

Determinant of a special matrix in characteristic $p$

Let $K$ be a field of characteristic $p > 0$. Choose $p^i$ numbers of elements $c_1,\ldots,c_{p^i} \in K$ and consider the determinant $D$ of the following matrix$\colon$ \begin{pmatrix}\label{...
Pierre's user avatar
  • 563
1 vote
1 answer
127 views

Monomials in products in power series ring on several variables

Let $A \colon= K[[X_1,\ldots,X_m,Y_1,\ldots,Y_n]]$ be a power series ring over a field $K$ in $m + n$ variables and ${\frak m}$ be the unique maximal ideal of $A$. For arbitrary two elements $\alpha = ...
Pierre's user avatar
  • 563
0 votes
1 answer
149 views

Power series rings and the formal generic fibre

Let $S = K[[S_1,\ldots,S_n]]$ and consider $d$ elements \begin{equation*} f_1,\ldots,f_d \in S[[X_1,\ldots,X_d]] \end{equation*} and the prime ideal ${\frak P} \colon\!= (f_1,\ldots,f_d)$ generated ...
Pierre's user avatar
  • 563
5 votes
2 answers
369 views

Links between tight closure and deformation theory

I am looking for links between tight closure and deformation theory. As a sample question: Question 1. Are there geometric interpretations in terms of deformation theory of Frobenius rationality? ...
Mohammad Golshani's user avatar