00938nas a2200109 4500008004100000245011500041210006900156260001300225520053300238100002100771856003600792 2001 en d00aOn the critical behavior, the connection problem and the elliptic representation of a Painleve\\\' VI equation0 acritical behavior the connection problem and the elliptic repres bSpringer3 aIn this paper we find a class of solutions of the sixth Painleve\\\' equation appearing in the theory of WDVV equations. This class covers almost all the monodromy data associated to the equation, except one point in the space of the data. We describe the critical behavior close to the critical points in terms of two parameters and we find the relation among the parameters at the different critical points (connection problem). We also study the critical behavior of Painleve\\\' transcendents in the elliptic representation.1 aGuzzetti, Davide uhttp://hdl.handle.net/1963/1293