Corpus ID: 50376082

ON 4 SQUARES IN ARITHMETIC PROGRESSION

@inproceedings{Kiming2008ON4S,
  title={ON 4 SQUARES IN ARITHMETIC PROGRESSION},
  author={I. Kiming},
  year={2008}
}
x1 − 2x2 + x3 = 0 x2 − 2x3 + x4 = 0 are given by (x1, x2, x3, x4) = (±1,±1,±1,±1). Now, the above variety is an intersection between 2 quadrics in P. In general – i.e., except for the possibility of the variety being reducible or singular – an intersection between 2 quadrics in P is (isomorphic to) an elliptic curve and there is an algorithm that brings the curve to Weierstraß form by means of a birational map. We will not go into the general algorithm but just study it in concrete terms via… Expand

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