Title | Pfaffian representations of cubic surfaces |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Tanturri, F |
Abstract | 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. |
URL | http://urania.sissa.it/xmlui/handle/1963/34688 |
DOI | 10.1007/s10711-012-9818-x |
Research Group: