Data di Pubblicazione:
2019
Citazione:
Lectures on non-commutative K3 surfaces, Bridgeland stability, and moduli spaces / E. Macri, P. Stellari (LECTURE NOTES OF THE UNIONE MATEMATICA ITALIANA). - In: Birational Geometry of Hypersurfaces / [a cura di] A. Hochenegger, M. Lehn, P. Stellari. - [s.l] : Springer, 2019. - ISBN 978-3-030-18637-1. - pp. 199-265 [10.1007/978-3-030-18638-8_6]
Abstract:
We survey the basic theory of non-commutative K3 surfaces, with a particular emphasis to the ones arising from cubic fourfolds. We focus on the problem of constructing Bridgeland stability conditions on these categories and we then investigate the geometry of the corresponding moduli spaces of stable objects. We discuss a number of consequences related to cubic fourfolds including new proofs of the Torelli theorem and of the integral Hodge conjecture, the extension of a result of Addington and Thomas and various applications to hyperkähler manifolds.
These notes originated from the lecture series by the first author at the school on Birational Geometry of Hypersurfaces, Palazzo Feltrinelli - Gargnano del Garda (Italy), March 19–23, 2018.
Tipologia IRIS:
03 - Contributo in volume
Elenco autori:
E. Macri, P. Stellari
Link alla scheda completa:
Titolo del libro:
Birational Geometry of Hypersurfaces