caa a22 4500 475741099 CHVBK 20180406123459.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1007/BF02676725 doi (NATIONALLICENCE)springer-10.1007/BF02676725 Kordonskii V. Moscow Center of Continous Mathematical Education, Moscow, USSR aut Essential dimension and the second serre conjecture for exceptional groups [Elektronische Daten] [V. Kordonskii] We study the essential dimension of exceptional connected simply connected algebraic groups over algebraically closed fields. In the present paper, we find upper estimates for the essential dimensions of the groupsF 4 ,E 6 , andE 7 . For the groupF 4 , the upper estimate, thus obtained coincides with the known lower estimate. We also prove the second Serre conjecture for the groupE 6 and for a function field. Kluwer Academic/Plenum Publishers, 2000 Serre conjectures nationallicence locally free action nationallicence rational action nationallicence essential dimension nationallicence exceptional Lie group nationallicence Lie group of type E 6 nationallicence complex algebraic variety nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/4(2000-10-01), 464-470 0001-4346 68:4<464 2000 68 11006 https://doi.org/10.1007/BF02676725 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676725 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kordonskii V. Moscow Center of Continous Mathematical Education, Moscow, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/4(2000-10-01), 464-470 0001-4346 68:4<464 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer