842 research outputs found
Modulus of a rational map into a commutative algebraic group
For a rational map from a normal algebraic variety to a
commutative algebraic group , we define the modulus of as an
effective divisor on . We study the properties of the modulus. This work
generalizes the known theories for curves to higher dimensional varieties.Comment: 17 page
Analyticity of the closures of some Hodge theoretic subspaces
In this paper, we prove a general theorem concerning the analyticity of the
closure of a subspace defined by a family of variations of mixed Hodge
structures, which includes the analyticity of the zero loci of degenerating
normal functions. For the proof, we use a moduli of the valuative version of
log mixed Hodge structures
- …