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The set of jumping conics of a locally free sheaf of dimension 2 on $P^2$

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 Added by Dmitry Logachev
 Publication date 2013
  fields
and research's language is English




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We consider a locally free sheaf $F$ of dimension 2 on $P^2$. A conic $q$ on $P^2$ is called a jumping conic if the restriction of $F$ to $q$ is not the generic one. We prove that the set of jumping conics is the maximal determinantal variety of a skew form. Some properties of this skew form are found.



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