Tekijä: Jennifer S. Balakrishnan (ed.); Noam Elkies (ed.); Brendan Hassett (ed.); Bjorn Poonen (ed.); Andrew V. Sutherland (ed.) Kustantaja: Springer (2022) Saatavuus: Noin 17-20 arkipäivää
Tekijä: Jennifer S. Balakrishnan (ed.); Noam Elkies (ed.); Brendan Hassett (ed.); Bjorn Poonen (ed.); Andrew V. Sutherland (ed.) Kustantaja: Springer (2023) Saatavuus: Noin 17-20 arkipäivää
EUR 198,50
Brauer Groups and Obstruction Problems : Moduli Spaces and Arithmetic
Birkhäuser Sivumäärä: 247 sivua Asu: Kovakantinen kirja Julkaisuvuosi: 2017, 10.03.2017 (lisätietoa) Kieli: Englanti
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.