An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

• Κύριος συγγραφέας: Schlichenmaier, Martin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Έκδοση: Second Edition.
• Σειρά: Theoretical and Mathematical Physics,
• Θέματα: Physics.; Algebraic topology.; Elementary particles (Physics).; Quantum field theory.; Theoretical, Mathematical and Computational Physics.; Elementary Particles, Quantum Field Theory.; Algebraic Topology.

 Manifolds -- Topology of Riemann Surfaces -- Analytic Structure -- Diffierentials and Integration -- Tori and Jacobians -- Projective Varieties -- Moduli Spaces of Curves -- Vector Bundles, Sheaves and Cohomology -- The Theorem of Riemann–Roch for Line Bundles -- The Mumford Isomorphism on the Moduli Space -- TopoModern Algebraic Geometry -- Schemes -- Hodge Decomposition and K¨ahler Manifold -- Calabi-Yau Manifolds and Mirror Symmetry.