Let K be a field of characteristic zero. We describe an algorithm which requires a homogeneous polynomial F of degree three in K[x0,x1,x2,x3] and a zero a of F in P3 K and ensures a linear Pfaffian representation of V(F) with entries in K[x0,x1,x2,x3], under mild assumptions on F and a. We use this result to give an explicit construction of (and to prove the existence of) a linear Pfaffian representation of V (F), with entries in K'[x0,x1,x2,x3], being K' an algebraic extension of K of degree at most six. An explicit example of such a construction is given.

}, doi = {10.1007/s10711-012-9818-x}, url = {http://urania.sissa.it/xmlui/handle/1963/34688}, author = {Fabio Tanturri} }