A refinement of the Hodge stratification for connected reductive groups

作者：Neupert Stephan^*

来源：Mathematische Nachrichten, 2014, 287(4): 405-431.

DOI：10.1002/mana.201300013

• Hodge point
• Newton point
• reductive groups
• abelian varieties of PEL-type
• Primary: 20G25
• Secondary: 14L05
• 11G18
• 14G35

For connected reductive groups G over a finite extension F of Qp and L the maximal unramified extension of F we study the sets H<mml:munder>_</mml:munder>,N(G) of elements bG(L) with given Hodge points (b sigma),(b sigma)2,...,(b sigma)N. We explain the relationship to stratifications of some moduli scheme of abelian varieties defined by Goren and Oort respectively Andreatta and Goren. We show that for sufficiently large N the Newton point is constant on the sets H<mml:munder>_</mml:munder>,N(G) and compute such N for certain classes of groups.

• 出版日期2014-3