منابع مشابه
The tropical Grassmannian
In tropical algebraic geometry, the solution sets of polynomial equations are piecewise-linear. We introduce the tropical variety of a polynomial ideal, and we identify it with a polyhedral subcomplex of the Gröbner fan. The tropical Grassmannian arises in this manner from the ideal of quadratic Plücker relations. It is shown to parametrize all tropical linear spaces. Lines in tropical projecti...
متن کاملThe Affine Grassmannian
The affine Grassmannian is an important object that comes up when one studies moduli spaces of the form BunG(X), where X is an algebraic curve and G is an algebraic group. There is a sense in which it describes the local geometry of such moduli spaces. I’ll describe the affine Grassmannian as a moduli space, and construct it concretely for some concrete groups. References, including the constru...
متن کاملTwisting the quantum grassmannian
In contrast to the classical and semiclassical settings, the Coxeter element (12 . . . n) which cycles the columns of an m×n matrix does not determine an automorphism of the quantum grassmannian. Here, we show that this cycling can be obtained by defining a cocycle twist. A consequence is that the torus invariant prime ideals of the quantum grassmannian are permuted by the action of the Coxeter...
متن کاملThe Linked Grassmannian
Strategy: prove every collection of bundles satisfying LG property has linked vector, and linked vectors always lift. Prove exact points mean restricted bundles still satisfy LG properties. Prove modding out by linked vector preserves LG properties. Conclude smoothness at exact points. Then argue density in fibers. In this paper, we develop a theory of a moduli scheme parametrizing collections ...
متن کاملGrassmannian Trilogarithms
Abstract. In the previous works of the ¢rst author, two completely different constructions of single valued Grassmannian trilogarithms were given. One of the constructions, in Math. Res. Lett. 2 (1995), 99^114, is very simple and provides Grassmannian n-logarithms for all n. However its motivic nature is hidden. The other construction in Adv. in Math. 114 (1995), 197^318, is very explicit and m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2014
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2013.11.004