Results 11 to 20 of about 511,872 (337)
Semisimple Hopf Algebras via Geometric Invariant Theory [PDF]
Advances in Mathematics, 2015 We study Hopf algebras via tools from geometric invariant theory. We show that all the invariants we get can be constructed using the integrals of the Hopf algebra and its dual together with the multiplication and the comultiplication, and that these ...
E. Meir
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Geometric invariant theory and flips [PDF]
Journal of the American Mathematical Society, 1994 We study the dependence of geometric invariant theory quotients on the choice of a linearization. We show that, in good cases, two such quotients are related by a flip in the sense of Mori, and explain the relationship with the minimal model programme ...
M. Thaddeus
semanticscholar +4 more sources
Variation of geometric invariant theory quotients [PDF]
Publications mathématiques de l'IHÉS, 1994 Geometric Invariant Theory gives a method for constructing quotients for group actions on algebraic varieties which in many cases appear as moduli spaces parameterizing isomorphism classes of geometric objects (vector bundles, polarized varieties, etc.).
I. Dolgachev, Y. Hu
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Instantons and geometric invariant theory [PDF]
Communications in Mathematical Physics, 1984 By the theorem of Atiyah-Ward (anti-)self-dual Yang-Mills potentials on \(S^ 4\) correspond to certain holomorphic vector bundles on \({\mathbb{P}}_ 3({\mathbb{C}})\) via the twistor fibering \({\mathbb{P}}_ 3({\mathbb{C}})\to S^ 4\). In this paper a new correspondence is established by considering instead holomorphic vector bundles on \({\mathbb{P}}_ ...
S. Donaldson
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Moment maps and geometric invariant theory [PDF]
Les cours du CIRM, 2009 These lectures centered around the Kempf-Ness theorem, which describes the equivalence between notions of quotient in symplectic and algebraic geometry.
C. Woodward
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Equivariant Dirac operators and differentiable geometric invariant theory [PDF]
, 2014 In this paper, we give a geometric expression for the multiplicities of the equivariant index of a spin-c Dirac operator.
P. Paradan, M. Vergne
semanticscholar +3 more sources
Relative Geometric Invariant Theory and Universal Moduli Spaces [PDF]
International Journal of Mathematics, 1995 We expose in detail the principle that the relative geometric invariant theory of equivariant morphisms is related to the GIT for linearizations near the boundary of the G-effective ample cone.
Y. Hu
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Geometric invariant theory and projective toric varieties [PDF]
, 2005 This is an expository paper in which we define projective GIT quotients and introduce toric varieties from this perspective. It is intended primarily for readers who are learning either invariant theory or toric geometry for the first time.Comment: 9 ...
Proudfoot, Nicholas J.
core +4 more sources
Coherent states, entanglement, and geometric invariant theory [PDF]
, 2002 19 ...
Alexander A. Klyachko
openaire +3 more sources