00908nas a2200109   4500008004100000245004700041210004700088260001300135520057900148100002000727856005100747       2014                        en  d00aPfaffian representations of cubic surfaces0 aPfaffian representations of cubic surfaces  bSpringer3 a<p>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.</p>1 aTanturri, Fabio  uhttp://urania.sissa.it/xmlui/handle/1963/34688