Mirror Symmetry via Logarithmic Degeneration Data Ii Mark Gross and Bernd Siebert
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چکیده
Introduction. 1 1. Derivations and differentials 6 2. Log Calabi-Yau spaces: local structure and deformation theory 16 2.1. Local structure 16 2.2. Deformation theory 25 3. Cohomology of log Calabi-Yau spaces 38 3.1. Local calculations 38 3.2. Global calculations 46 3.3. The Hodge decomposition 59 4. Basechange and the cohomology of smoothings 67 5. Monodromy and the logarithmic Gauss-Manin connection 71 5.1. Monodromy 71 5.2. The connection on moduli 74 References 84
منابع مشابه
Mirror Symmetry via Logarithmic Degeneration Data I Mark Gross and Bernd Siebert
Introduction. 2 1. Affine Manifolds 9 1.1. Affine Manifolds and Invariants 9 1.2. Affine manifolds with singularities 15 1.3. Polyhedral decompositions 18 1.4. The discrete Legendre transform 33 1.5. Positivity and simplicity 39 2. From polyhedral decompositions to algebraic spaces 48 2.1. The cone picture 49 2.2. The fan picture 52 3. Logarithmic structures 79 3.
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تاریخ انتشار 2008