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Showing 1 to 7 of 7 for “"holomorphic maps"”.
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Invariant proper holomorphic maps between balls
We consider proper holomorphic maps between balls that are invariant under the action of finite groups of unitary matrices. We are primarily interested in actions of groups that are fixed-point-free; for purposes of comparison we will briefly consider matrix groups that act with fixed points (that …
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Deformation retractions from spaces of continuous maps onto spaces of holomorphic maps
… a Stein manifold X to Y can be deformed to a holomorphic map. In a recent paper, Larusson [19] considers the natural question of whether it is possible to simultaneously deform all continuous maps f from X to Y to holomorphic maps, in a way that depends continuously on f and does not change f …
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The eta invariant for manifolds with boundary and holomorphic maps into the the restricted Grassmannian
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
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Non-integrated Defect Relations for General Divisors
… relations. The first applies to meromorphic maps from a Kahler manifold, whose universal covering is a ball, into a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to holomorphic …
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Pullback of currents by meromorphic maps
… and $f$ is a dominant meromorphic map. For holomorphic maps, a variational principle for smooth maps proves the existence of a measure which is invariant under $f$ and has maximal entropy (i.e. the entropy of the measure equals the topological entropy). The same question is harder to answer …
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Holomorphic flexibility properties of complements and mapping spaces.
… Grauert and others, to the effect that certain holomorphically defined problems involving Stein manifolds have only topological obstructions to their solution. Gromov’s influential 1989 paper on the Oka principle introduced the class of so-called elliptic manifolds, and gave an Oka principle for …
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Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space
… results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining the diastatic exponential of a real analytic Kähler manifold, we prove that for every point p …