K-groups and cohomology groups are important invariants in different areas of mathematics, from arithmetic geometry to algebraic and geometric topology to operator algebras. The idea is to associate ...
9 For projective, non-uniruled varities, the birational automorphism group can also be given a scheme structure. The reference is "Hanamura: Structure of birational automorphism groups, I: non-uniruled varieties". As one expects, the automorphism group will be a subscheme of that.
The most familiar examples are $\mathbb {F_0}\simeq \mathbb {P}^1\times\mathbb {P}^1$ and $\mathbb {F_1}$ which is isomorphic to $\mathbb {P}^2$ blown up at a point. Other features of Hirzebruch surfaces are apparently well-known, such as its intersection theory. My question is about automorphism groups of Hirzebruch surfaces.
Algebraic varieties and their automorphism groups lie at the heart of modern algebraic geometry, intertwining deep theoretical concepts with practical applications. Algebraic varieties, defined as the ...
Recent advances in the study of automorphism groups within graph theory have yielded significant theoretical and applied insights. At its core, the interplay between the algebraic structure of groups ...
We show that if two uniformly continuous representations of a connected abelian group as $\ast$-automorphisms of a von Neumann algebra are close in norm, then they are conjugate via a single ...
Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...
The study of Banach spaces and operator algebras constitutes a central theme in modern functional analysis, providing a rigorous framework through which complex systems can be understood. Banach ...