Pascal's Theorem and Quantum Deformation.

By a transfer principle, Pascal's Theorem is equivalent to a theorem about point pairs on the real line. It appears that Pascal's Theorem is equivalent to the vanishing of a common invariant of six quadratic forms. Using the q-deformed invariant theory of Leitenberger ( J. Algebra 222 (1999), 82), we construct corresponding quantum invariants by a computer calculation. [ABSTRACT FROM AUTHOR]