Allcock D. The moduli space of cubic threefolds as a ball quotient / D.Allcock, J.A.Carlson, D.Toledo. - Providence: American Mathematical Society, 2011. - xi, 70 p. - (Memoirs of the American Mathematical Society; Vol.209, N 985). - Bibliogr.: p.67-68. - Ind.: p.69-70. - ISBN 978-0-8218-4751-0; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Introduction ................................................... ix Chapter 1. Moduli of Smooth Cubic Threefolds .................... 1 Chapter 2. The Discriminant near a Chordal Cubic ............... 13 Chapter 3. Extension of the Period Map ......................... 27 Chapter 4. Degeneration to a Chordal Cubic ..................... 39 4.1. Statement of results ...................................... 39 4.2. Overview of the calculations .............................. 42 4.3. Semistable reduction ...................................... 42 4.4. Cohomology computations ................................... 49 Chapter 5. Degeneration to a Nodal Cubic ....................... 55 Chapter 6. The Main Theorem .................................... 61 Chapter 7. The Monodromy Group and Hyperplane Arrangement ...... 65 Bibliography ................................................... 67 Index .......................................................... 69