2025/2026
Торические многообразия
Статус:
Дисциплина общефакультетского пула
Кто читает:
Факультет математики
Когда читается:
3, 4 модуль
Охват аудитории:
для всех кампусов НИУ ВШЭ
Преподаватели:
Куюмжиян Каринэ Георгиевна
Язык:
английский
Контактные часы:
72
Course Syllabus
Abstract
"Given a convex polytope, there is a way to construct an algebraic variety starting from this polytope. The obtained varieties are called \textit{toric}. For example, from a simplex of dimension~$n$ we obtain the projective space $\mathbb P^n$.
The most important algebro\Д geometric properties of toric varieties can be expressed in terms of combinatorial properties of their polytopes, so many algebraic and geometric invariants of toric varieties can be easily computed. So toric varieties serve as test varieties for different algebro\Д geometric hypotheses, become examples and counterexamples etc."