Books written by Daniel Huybrechts

  • Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001
    Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001

    Now Im dete(Im + i Hess f) = Tr Hess f + higher order terms. Thus, when the second derivatives of f are small, equation (17) reduces approximately to Tr Hess f = 0. But Tr Hess f = I': + . . . -- *: = Af, where A is the Laplacian on R”.

  • Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001
    Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001

    D. Morrison , Picard - Fuchs equations and mirror maps for hypersurfaces , Essays on mirror manifolds ( S.-T. Yau , ed . ) , International Press , Hong Kong , 1992 , pp . 241–264 . 159. D. Morrison , Compactifications of moduli spaces ...

  • Complex Geometry: An Introduction
    Complex Geometry: An Introduction

    Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

  • The Geometry of Moduli Spaces of Sheaves
    The Geometry of Moduli Spaces of Sheaves

    As explained in the first edition, moduli spaces of sheaves on surfaces are expected to inherit much of the ... B. The birational structure of moduli spaces of sheaves on abelian surfaces has been studied further in [268] and in [453].

  • Lectures on K3 Surfaces
    Lectures on K3 Surfaces

    K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters.

  • Complex Geometry: An Introduction
    Complex Geometry: An Introduction

    Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

  • Fourier-Mukai Transforms in Algebraic Geometry
    Fourier-Mukai Transforms in Algebraic Geometry

    ... A graphic apology for symmetry and implicitness Johann Boos: Classical and modern methods in summability Nigel Higson and John Roe: Analytic K-Homology S. Semmes: Some novel types of fractal geometry Tadeusz Iwaniec and Gaven Martin ...