James Carlson, Stefan Müller-Stach, Chris Peters. Lu, X. and K. Zuo. 2014. On Shimura curves in the Torelli locus of curves. arxiv.org/abs/1311.5858. Lu, X. and K. Zuo. 2015. The Oort conjecture on Shimura curves in the Torelli locus of ...
This is a version of the Jacobson— Morosov theorem. EXERCISE A.3.7 Let N C g[(V) be nilpotent and Y C g[(V) be semisimple. Set V4 I E4 Then the following are equivalent: (1) There exists an slg—triple {N+, NI, Y} with N+ I N. (2) The ...
The exposition is as accessible as possible and doesn't require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures.
Quantum probability and applications IV (Proc. Rome (1987)), Lecture notes in math, 1396, Springer, 1989. [A6] ACCARDI, L., ET AL. (EDS.): Quantum probability and applications V (Proc. Heidelberg (1988)), Lecture notes in math., ...
This is equivalent to the following condition: If the system of equations n Xx\, = a, i = 1 has a solution in B, ... Pure subgroup); 2) nÁ = A synb for every natural number n; 3) A /n/ is a 1
Griffiths introduced the period domains and defined the period mappings into period domains in order to study the base space of a family . There exists tautologically the universal variation of Hodge structure on the ...
Under the assumptions and with the notations of that same lemma, we have |F||R 3 L*||a(i,j)||Roe” < LocNeNios NRLeon < co-lockoo, since k > N. Gathering together the information in the above inequalities, we deduce o < R-Mkoko N-LRek ...
This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory.
J. Carlson, S. Miiller-Stach, C. Peters, Period mappings and period domains, Cambridge Studies in Advanced Mathematics, 85. Cambridge University Press, 2003. xvi+430 pp. G. Carlsson, E. Pedersen, Controlled algebra and the Novikov ...
The existence of the H and N + above, given N, is the Jacobson-Morosov theorem. For l ≧ 0, the primitive space is defined by Grl(W(N))prim = kerN l+1 :Grl(W(N)) → Gr−l−2(W(N)). It picks out the sl2-submodule whose highest weight is ...
Phillip Griffiths Maurizio Cornalba. purely in terms of D. These period matrix domains are discussed in § 8 , and the correspondence between variations of Hodge structure and period mappings is given by Proposition ( 9.3 ) . In many ...