Results 1 to 10 of about 12,637 (295)
Geometric Invariant Theory [PDF]
Universitext, 2017 Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to ...
Nolan R Wallach
exaly +5 more sources
3D geometric moment invariants from the point of view of the classical invariant theory
Математичні Студії, 2023 The aim of this paper is to clear up the problem of the connection between the 3D geometric moments invariants and the invariant theory, considering a problem of describing of the 3D geometric moments invariants as a problem of the classical invariant ...
L. P. Bedratyuk, A. I. Bedratyuk
doaj +3 more sources
Heights and Geometric Invariant Theory [PDF]
Forum Mathematicum, 2000 Let $K$ be a number field, $\OK$ be its ring of integers. We introduce the notion of compactified representation of $GL_N(\OK)$ and, we see how to associate to a hermitian vector bundle $\E$ over $\Spec(\OK)$ and a compactified representation $\T$, a hermitian tensor bundle $\E_T$.
exaly +4 more sources
Geometric invariant theory on Stein spaces
Mathematische Annalen, 1991 The aim of this paper is to present results on actions of compact Lie groups on Stein spaces. The main result is the following: Complexification Theorem. Let K be a compact Lie group and \(K^{{\mathbb{C}}}\) a complexification of K. If K acts on a reduced Stein space X, then there exists a complex space \(X^{{\mathbb{C}}}\) with a holomorphic action ...
Peter Heinzner
exaly +2 more sources
Geometric Invariant Theory [PDF]
, 1994 The purpose of Geometric Invariant Theory (abbreviated GIT) is to provide a way to define a quotient of an algebraic variety X by the action of a reductive complex algebraic group G with an algebro-geometric structure. In this chapter we present a sketch of the treatment with a variety of examples.
David Mumford +2 more
+5 more sources
An analytic application of Geometric Invariant Theory [PDF]
Journal of Geometry and Physics, 2021 Given a compact Kähler manifold, Geometric Invariant Theory is applied to construct analytic GIT-quotients that are local models for a classifying space of (poly)stable holomorphic vector bundles containing the coarse moduli space of stable bundles as an open subspace.
Nicholas Buchdahl, Georg Schumacher
openaire +2 more sources
Real Geometric Invariant Theory [PDF]
, 2020 23 pages; v2: sections were completely reorganised, some proofs were rewritten and several typos fixed; v3: Fixed proof of Prop. 8.3, added Cor.
Böhm, C., Lafuente, R. A.
openaire +4 more sources
Scattering in Algebraic Approach to Quantum Theory—Jordan Algebras
Universe, 2023 Using the geometric approach, we formulate a quantum theory in terms of Jordan algebras. We analyze the notion of a (quasi)particle (=elementary excitation of translation-invariant stationary state) and the scattering of (quasi)particles in this ...
Albert Schwarz
doaj +1 more source
Invariants of Space Line Element Structure Based on Projective Geometric Algebra
IEEE Access, 2020 Based on the theory of Conformal Geometric Algebra, this paper presents a geometric constraint structure consisting of seven straight lines on three adjacent planes and its projective invariants, which can be obtained from a single frame image. Comparing
Zhang Youzheng, Mui Yanping
doaj +1 more source
Hamiltonian actions of unipotent groups on compact K\"ahler manifolds [PDF]
Épijournal de Géométrie Algébrique, 2018 We study meromorphic actions of unipotent complex Lie groups on compact K\"ahler manifolds using moment map techniques. We introduce natural stability conditions and show that sets of semistable points are Zariski-open and admit geometric quotients that ...
Daniel Greb, Christian Miebach
doaj +1 more source