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math.AG2009
Skew-symmetric matrices and Palatini scrolls
Daniele Faenzi, Maria Lucia Fania
We prove that, for m greater than 3 and k greater than m-2, the Grassmannian of m-dimensional subspaces of the space of skew-symmetric forms over a vector space of dimension 2k is…
math.AG2009
Rank 2 stable sheaves with odd determinant on Fano threefolds of genus 9
Maria Chiara Brambilla, Daniele Faenzi
By the description due to Mukai and Iliev, a smooth prime Fano threefold X of genus 9 is associated to a surface P(V), ruled over a smooth plane quartic Gamma. We use Kuznetsov's i…