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Lev Borisov
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comment
Locked convex polyhedra
I do think that one can make a non-moveable arrangement if one restricts the moves to only one polytope at a time.
comment
What are the generalizations of the 27 lines on a cubic surface?
The 2875 lines on generic quintic in $\mathbb P^4$ is a rather well known number. I wouldn't call it a generalization though.
answered
Show that the Minkowski sum of two triangles in 3D is the union of Minkowski sums of each triangle along the other's edges?
awarded
 Enlightened
awarded
 Yearling
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Counting subspaces
I am referring to the general question when more than two fixed subspaces are involved. The answer may depend on more than just the dimensions.
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Counting subspaces
If you consider multiple subspaces, I would not be surprised if the answer was dependent on their choice, not just their dimension.
reviewed
Approve
Another name for coin-flipping polynomials
revised
binomial/factorial identity mod p
fixed typo
answered
binomial/factorial identity mod p
awarded
 Good Answer
comment
Style of mathematical writing vs. too many lemmas
You may want to separate formal and informal discussion of the results into separate sections. So long as everything is clearly demarcated, both are useful to the reader.
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How to prove this polynomial always has integer values at all integers?
I have two questions/suggestions. Are the parts for fixed $i$ integer-valued? Are there some linear recursions on $P_m(x)$?
answered
sub-variety of (P^1)^4
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polynomial expression for counting number of integral points of a set
Makes no difference, really. Just make a linear change of variables that sends $(1,0)$, $(0,1)$ to $(1,1)$, $(2,1)$.
revised
polynomial expression for counting number of integral points of a set
minus half -> plus half
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polynomial expression for counting number of integral points of a set
Sorry, my mistake, see answer below.
answered
polynomial expression for counting number of integral points of a set
comment
polynomial expression for counting number of integral points of a set
Of course, it's a polynomial. For any lattice polytopes $P$ and $Q$ the number of lattice points in $rP+sQ$ is a polynomial in $r$ and $s$.
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A Siegel modular form related to the product of two eta functions
Have you looked at MR0669299, around page 335 (section 5)?
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