منابع مشابه
Special Lagrangian Fibrations II: Geometry
This paper is a progress report on work surrounding the Strominger-Yau-Zaslow mirror symmetry conjecture [25]. Roughly put, this conjecture suggests the following program for attacking an appropriate form of the mirror conjecture. Let X be a Calabi-Yau n-fold, with a large complex structure limit point p in a compactification of the complex moduli space of X . One expects mirrors of X to be ass...
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Let C → Pn be a family of integral genus n curves with ‘mild singularities’, such that the compactified relative Jacobian X = Pic 1 (C/Pn) is a holomorphic symplectic manifold. We prove that X is the BeauvilleMukai integrable system provided the degree of the discriminant locus in P n is sufficiently large.
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Let C → Pn be a family of integral genus n curves with ‘mild singularities’, such that the compactified relative Jacobian X = Pic 1 (C/Pn) is a holomorphic symplectic manifold. We prove that X is the BeauvilleMukai integrable system provided the degree of the discriminant locus in P n is sufficiently large.
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Let X be an irreducible symplectic manifold and Def(X) the Kuranishi space. Assume that X admits a Lagrangian fibration. We prove that X can be deformed preserving a Lagrangian fibration. More precisely, there exists a smooth hypersurface H of Def(X) such that the restriction family X ×Def(X) H admits a family of Lagrangian fibrations over H.
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We classify singular fibres over general points of the discriminant locus of projective complex Lagrangian fibrations on 4-dimensional holomorphic symplectic manifolds. The singular fibre F is the following either one: F is isomorphic to the product of an elliptic curve and a Kodaira singular fibre up to finite unramified covering or F is a normal crossing variety consisting of several copies o...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2015
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199714500461