G. Schumacher

发表

Shi Feng, G. Schumacher, 1999, Compositio Mathematica.

Numerically effectiveness and principal bundles on Kähler manifolds

I. Biswas, G. Schumacher, 2008 .

Positivity of relative canonical bundles and applications

G. Schumacher, 2012, 1201.2930.

On a characterization of finite vector bundles as vector bundles admitting a flat connection with finite monodromy group

I. Biswas, G. Schumacher, Yogish I. Holla, 2000 .

The Weil–Petersson current on Douady spaces

G. Schumacher, Reynir Axelsson, 2018, Mathematische Nachrichten.

Quasi-Projectivity of Moduli Spaces

G. Schumacher, H. Tsuji, 2001, math/0111144.

The Moduli of Extremal Compact Kahler Manifolds and Generalized Well-Petersson Metrics

G. Schumacher, Akira FuiiKi, 2005 .

Moduli of canonically polarized manifolds, higher order Kodaira-Spencer maps, and an analogy to Calabi-Yau manifolds

G. Schumacher, 2017, 1702.07628.

Positivity of relative canonical bundles and applications

G. Schumacher, 2012, Inventiones mathematicae.

Ja n 20 12 POSITIVITY OF RELATIVE CANONICAL BUNDLES AND APPLICATIONS

G. Schumacher, 2012 .

Curvature of higher direct images and applications (Curvature of $R^{n-p}f_*\Omega^p_{X/S}(K_{X/S}

G. Schumacher, 2010, 1002.4858.

Application of Cheeger-Gromov theory to the $l^2$-cohomology of harmonic Higgs bundles over covering of finite volume complete manifolds

G. Schumacher, P. Dingoyan, 2018, 1810.03863.

Determinant Bundle, Quillen Metric, and Petersson-Weil Form on Moduli Spaces

I. Biswas, G. Schumacher, 1999 .

Kahler structure on moduli spaces of principal bundles

I. Biswas, G. Schumacher, 2007 .

Coupled vortex equations and moduli: deformation theoretic approach and Kähler geometry

I. Biswas, G. Schumacher, 2008, 0808.3260.

Differential geometry of moduli spaces of quiver bundles

I. Biswas, G. Schumacher, 2016, 1606.01517.

Kähler Geometry of Moduli Spaces of Holomorphic Vector Bundles

G. Schumacher, 2006 .

Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations

G. Schumacher, Youngook Choi, Matthias Braun, 2015, Transactions of the American Mathematical Society.

On the geometry of moduli spaces

G. Schumacher, 1985 .

An Extension Theorem for Hermitian Line Bundles

G. Schumacher, 2015, 1507.06195.

The Weil-Petersson current for moduli of vector bundles and applications to orbifolds

I. Biswas, G. Schumacher, 2015, 1509.00304.

Polystable bundles and representations of their automorphisms

G. Schumacher, N. Buchdahl, 2022, Complex Manifolds.

Polystability and the Hitchin-Kobayashi correspondence

G. Schumacher, N. Buchdahl, 2020, 2002.03548.

Yang-Mills equation for stable Higgs sheaves

I. Biswas, G. Schumacher, 2008, 0803.4435.

Kähler structure on Hurwitz spaces

I. Biswas, G. Schumacher, Reynir Axelsson, 2015, Manuscripta Mathematica.

Kähler structure on Hurwitz spaces

I. Biswas, G. Schumacher, Reynir Axelsson, 2015, 1502.02384.

The moduli space of extremal compact Ka¨hler manifolds and generalized Weil-Petersson metrics

G. Schumacher, A. Fujiki, 1990 .

A remark on the automorphisms of the moduli spaceMg of compact Riemann surfaces

G. Schumacher, 1992 .

0 – 0 Moduli as Algebraic Spaces

G. Schumacher, 2002 .

The Moduli Space of Kähler Structures on a Real Compact Symplectic Manifold

G. Schumacher, A. Fujiki, 1988 .

Moduli of framed manifolds

G. Schumacher, 1998 .

The Theory of Teichmüller Spaces A View Towards Moduli Spaces of Kähler Manifolds

Georg Schumacher, G. Schumacher, 1998, Complex Manifolds.

The Curvature of the Petersson-Weil Metric on the Moduli Space of Kähler-Einstein Manifolds

G. Schumacher, 1993 .

Curvature properties for moduli of canonically polarized manifolds—An analogy to moduli of Calabi–Yau manifolds

G. Schumacher, 2014 .

Variation of geodesic length functions in families of Kähler-Einstein manifolds and applications to Teichmüller space

G. Schumacher, Reynir Axelsson, 2012 .

Variation of geodesic length functions over Teichmüller space

G. Schumacher, Reynir Axelsson, 2010, 1006.2966.

Moduli of bordered Riemann Surfaces - Complex structure and K\

G. Schumacher, Inkang Kim, 2008, 0810.3419.

Weil-Petersson geometry for families of hyperbolic conical Riemann Surfaces

S. Trapani, G. Schumacher, 2008, 0809.0058.

Geometric Approach to the Weil-Petersson Symplectic Form

G. Schumacher, Reynir Axelsson, 2008, 0808.3741.

Positivity of relative canonical bundles for families of canonically polarized manifolds

G. Schumacher, 2008, 0808.3259.

Moduli of polarized Kähler manifolds

G. Schumacher, 1984 .

Construction of the coarse moduli space of compact polarized Kähler manifolds withc1=0

G. Schumacher, 1983 .

On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature

M. Toma, G. Schumacher, 1992 .

K\"ahler forms for families of Calabi-Yau manifolds

G. Schumacher, Youngook Choi, Matthias Braun, 2017, 1702.07886.

A criterion for a degree-one holomorphic map to be a biholomorphism

Gautam Bharali, I. Biswas, G. Schumacher, 2016, 1610.06286.

Deligne pairing and determinant bundle

L. Weng, I. Biswas, G. Schumacher, 2011, 1106.0255.

Hyperbolicity of the complement of plane algebraic curves

G. Schumacher, P. Wong, G. Dethloff, 1993, alg-geom/9312007.

On the stability of the tangent bundle of a hypersurface in a Fano variety

I. Biswas, G. Schumacher, 2005 .

Kähler geometry of Douady spaces

G. Schumacher, Reynir Axelsson, 2006 .

On the hyperbolicity of the complements of curves in algebraic surfaces: The three-component case

G. Schumacher, P. Wong, G. Dethloff, 1993, alg-geom/9312008.

Asymptotics of Kähler-Einstein metrics on quasi-projective manifolds and an extension theorem on holomorphic maps

G. Schumacher, 1998 .

N ov 2 00 1 QUASI-PROJECTIVITY OF MODULI SPACES OF POLARIZED VARIETIES

G. Schumacher, H. Tsuji, 2022 .

Asymptotics of complete Kähler-Einstein metrics -- negativity of the holomorphic sectional curvature

G. Schumacher, 2002, Documenta Mathematica.

1. Introduction. Hyperbolic manifolds have been studied in complex anal- ysis as the generalizations of hyperbolic Riemann surfaces to higher dimensions. Moreover, the theory of hyperbolic manifolds is closely related to other areas

G. Schumacher, P. Wong, G. Dethloff, 2016 .

Curvature of higher direct image sheaves

G. Schumacher, Thomas Geiger, 2015, 1501.07070.

Line bundles and flat connections

I. Biswas, G. Schumacher, 2017 .

An analytic application of Geometric Invariant Theory

Georg Schumacher, Nicholas Buchdahl, G. Schumacher, 2020, Journal of Geometry and Physics.

Deformation theory of holomorphic Cartan geometries, II

Sorin Dumitrescu, Indranil Biswas, Georg Schumacher, 2022, Complex Manifolds.

Branched holomorphic Cartan geometry on Sasakian manifolds

I. Biswas, Sorin Dumitrescu, G. Schumacher, 2018, Advances in Theoretical and Mathematical Physics.

Moduli as algebraic spaces

G. Schumacher, 2004 .

Harmonic maps of the moduli space of compact Riemann surfaces

G. Schumacher, 1986 .

Estimates for the average scalar curvature of the Weil-Petersson metric on the Moduli space $\overline{\cal M}_g$

S. Trapani, G. Schumacher, 2022, 2212.12387.

Estimates of Weil–Petersson Volumes¶via Effective Divisors

S. Trapani, G. Schumacher, 2000, math/0005094.