Complex geometry: its brief history and its future (Q2460714)

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Language	Label	Description	Also known as
English	Complex geometry: its brief history and its future	scientific article

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scholarly article

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Complex geometry: its brief history and its future (English)

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Science in China. Series A

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publication date

13 November 2007

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MaRDI profile type

MaRDI publication profile

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The stable mapping class group and \(Q(\mathbb C P^ \infty_ +)\).

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Intersection theory on the moduli space of curves

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Intersection theory on the moduli space of curves and the matrix Airy function

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On a proof of a conjecture of Mariño-Vafa on Hodge integrals

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On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)

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Every K 3 surface is Kähler

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On projectively flat Hermitian manifolds

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ON THE CHERN NUMBERS OF CERTAIN COMPLEX AND ALMOST COMPLEX MANIFOLDS

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Calabi's conjecture and some new results in algebraic geometry

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On the Chern numbers of surfaces of general type

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The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds

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Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature

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The Teichmüller theory of harmonic maps

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High energy degeneration of harmonic maps between surfaces and rays in Teichmüller space

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The existence of minimal immersions of 2-spheres

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Compact Kähler manifolds of positive bisectional curvature

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Pseudo-holomorphic maps and bubble trees

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A mathematical theory of quantum cohomology

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Gromov-Witten classes, quantum cohomology, and enumerative geometry

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The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I

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Complete Kahler Manifolds with Zero Ricci Curvature. I

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Complete Kähler manifolds with zero Ricci curvature. II

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On a set of polarized Kähler metrics on algebraic manifolds

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Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay

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On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch

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Stability, energy functionals, and Kähler-Einstein metrics

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Geometric criterion for Gieseker-Mumford stability of polarized manifolds

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Balance point and stability of vector bundles over a projective manifold

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Scalar curvature and projective embeddings. I

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Kähler--Ricci solitons on toric manifolds with positive first Chern class

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Canonical metrics on the moduli space of Riemann surfaces. II

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Ricci flow and the uniformization on complete noncompact Kähler manifolds

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On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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Remarks on the geometry of moduli spaces

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WEILPETERSSON GEOMETRY ON MODULI SPACE OF POLARIZED CALABIYAU MANIFOLDS

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Mirror symmetry is \(T\)-duality

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Special Lagrangians, stable bundles and mean curvature flow

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Mean curvature flows of Lagrangians submanifolds with convex potentials.

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Irreducibility of moduli of rank-2 vector bundles on algebraic surfaces

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Moduli of high rank vector bundles over surfaces

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Affine manifolds, SYZ geometry and the ``Y'' vertex

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Symplectic conifold transitions.

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Stable morphisms to singular schemes and relative stable morphisms.

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A degeneration formula of GW-invariants

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full work available at URL

https://doi.org/10.1007/bf02884695

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Identifiers

zbMATH Open document ID

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10.1007/BF02884695

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2460714

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