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math.AG2022
Moduli spaces of 6 x 6 skew matrices of linear forms on P^4 with a view towards intermediate Jacobians of cubic threefolds
Christian Böhning, Hans-Christian Graf von Bothmer, Lukas Buhr
It is well known that every smooth cubic threefold is the zero locus of the Pfaffian of a 6 x 6 skew-symmetric matrix of linear forms in P^4. To compactify the space of such Pfaffi…
math.AG2022
Formats of 6 x 6 skew matrices of linear forms with vanishing Pfaffian
Christian Böhning, Hans-Christian Graf von Bothmer
We show that every skew-symmetric 6 x 6 matrix of linear forms with vanishing Pfaffian is congruent to one of finitely many types of matrices, each of which is characterised by a s…