Lectures on K3 surfaces


    This is the final draft version which CUP allows me to keep on this webpage. The published version will contain further corrections, stylistic and possibly also mathematical ones. Comments on this draft version and on the published version are welcome.

        1. Basic definitions

        2. Linear systems

        3. Hodge structures I

        4. Kuga-Satake construction

        5. Moduli spaces of polarized K3 surfaces

        6. Periods

        7. Special vector bundles on K3 surfaces

        8. Moduli spaces of stable sheaves

        9. Chow ring and Grothendieck group

        10. Surjectivity of period and Global Torelli

        11. Rational curves on K3 surfaces

        12. Lattices

        13. Elliptic K3 surfaces

        14. Ample cone and Kaehler cone

        15. Automorphisms

        16. Derived equivalences

        17. Picard group

        18. Brauer group

        N.B.: The copy of Lectures on K3 Surfaces displayed on this website is a draft, prepublication copy. The final, published version of the Work can be purchased through Cambridge University Press and other standard distribution channels. This draft copy is made available for personal use only and must not be sold or redistributed.