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Francesco Polizzi
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How to compute the dimension of a linear system on P^n$\mathbb{P}^n$

How to compute the dimension of the linear system of quadraticquadric hypersurfaces that pass through a given projective variety S$S$?

A concrete one: S$S$ is a 5 dimensional$5$-dimensional projective variety in P^9$\mathbb{P}^9$ which is the transverse intersection of 4 quadratic$4$ quadric hypersurfaces,.

How to compute the dimension of linear system on P^n

How to compute the dimension of the linear system of quadratic hypersurfaces that pass through a given projective variety S?

A concrete one: S is a 5 dimensional projective variety in P^9 which is the transverse intersection of 4 quadratic hypersurfaces,

How to compute the dimension of a linear system on $\mathbb{P}^n$

How to compute the dimension of the linear system of quadric hypersurfaces that pass through a given projective variety $S$?

A concrete one: $S$ is a $5$-dimensional projective variety in $\mathbb{P}^9$ which is the transverse intersection of $4$ quadric hypersurfaces.

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Guangbo Xu
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How to compute the dimension of linear system on P^n

How to compute the dimension of the linear system of quadratic hypersurfaces that pass through a given projective variety S?

A concrete one: S is a 5 dimensional projective variety in P^9 which is the transverse intersection of 4 quadratic hypersurfaces,