We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calculate its curvature and the curvature of the Hodge bundles. We also consider when the pull back metric via a period map is Kähler. Several applications in cases of geometric interest are given, such a for normal functions and biextension bundles
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
This text can be considered as a non-technical and arithmetically motivated introduction to the defi...
A fundamental tool in studying the geometry of complex manifolds is represented by Hodge theory. The...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
In this article, we prove a rigidity criterion for period maps of admissible variations of graded-po...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
This text can be considered as a non-technical and arithmetically motivated introduction to the defi...
A fundamental tool in studying the geometry of complex manifolds is represented by Hodge theory. The...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
We investigate properties of the mixed Hodge metric of a mixed period domain. In particular, we calc...
In this article, we prove a rigidity criterion for period maps of admissible variations of graded-po...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
Some of the work on this paper was done while the first author was on Sabbatical leave during 1979–8...
This text can be considered as a non-technical and arithmetically motivated introduction to the defi...
A fundamental tool in studying the geometry of complex manifolds is represented by Hodge theory. The...