%0 Journal Article %D 2014 %T Pfaffian representations of cubic surfaces %A Fabio Tanturri %X

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.

%I Springer %G en %U http://urania.sissa.it/xmlui/handle/1963/34688 %1 34900 %2 Mathematics %4 1 %$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-10-21T16:49:49Z No. of bitstreams: 1 preprint2014.pdf: 289546 bytes, checksum: 0a8213f23936fd48edde60b3d788f158 (MD5) %R 10.1007/s10711-012-9818-x