The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.
We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part…
Kami memperkenalkan modul-D twistor campuran dan membangun sifat funktorial dasarnya. Kami juga membuktikan bahwa mereka dapat digambarkan sebagai perekatan variasi yang dapat diterima dari struktur twistor campuran. Dalam arti tertentu, modul D twistor campuran dapat dianggap sebagai versi twistor dari modul Hodge campuran M. Saito. Atau, mereka dapat dilihat sebagai versi campuran dari modul-…