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Is there an easy way to tell when the intersection of a set of quadrics (in complex projective space) is empty? Assume you know the quadrics explicitly.

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    $\begingroup$ Elimination Theory. This is implemented in the modern Computer Algebra systems, such as Singular and Macaulay2. $\endgroup$
    – Francesco Polizzi
    Sep 24, 2015 at 11:57
  • $\begingroup$ Yes, but I wanted general criterion, since I have an infinite family of intersections. I know it's not empty in low dimensions using the aforementioned software. $\endgroup$
    – batconjurer
    Sep 24, 2015 at 14:06

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