All Questions
3
questions
11
votes
1
answer
866
views
Which Steiner systems come from algebraic geometry?
This question is motivated by the ongoing discussion under my answer to this question. I wrote the following there:
A $(p, q, r)$ Steiner system is a collection of $q$-element subsets $A$ (called ...
- 21.9k
8
votes
2
answers
549
views
Pfaffian representation of the Fermat quintic
It is known (see for instance Beauville - Determinantal hypersurfaces) that a generic homogeneous polynomial in $5$ variables of degree $5$ with complex coefficients can be written as the Pfaffian of ...
- 7,100
4
votes
1
answer
1k
views
Solving a Diophantine equation related to Algebraic Geometry, Steiner systems and $q$-binomials?
The short version of my question is:
1)For which positive integers $k, n$ is there a solution to the equation $$k(6k+1)=1+q+q^2+\cdots+q^n$$ with $q$ a prime power?
2) For which positive ...
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