1 Introduction Let n be a positive integer, and let V be a 2n-dimensional vector space over an algebraically closed field K of characteristic 0.
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INDEX OF LIE ALGEBRAS Throughout this paper K is an algebraically closed field of characteristic 0.
When X is a non-singular projective variety defined over an algebraically closed field k of characteristic 0 and G is a connected reductive algebraic group over k, moduli spaces of (semi)stable principal G-bundles over X are known to exist and to be quasi-projective schemes (usually singular).
There are arguments (see ) showing that this is the case when K is an uncountable algebraically closed field.
The approach computes the local Denef- Loeser motivic zeta function of a quasi-ordinary power series of arbitrary dimension over an algebraically closed field of characteristic zero from its characteristic exponents without using embedded resolution of singularities.
MODULES WITH GROUP ACTIONS Let k be an algebraically closed field of characteristic 0.