Geometric invariant theory and decorated principal bundles/
Schmitt, Alexander H. W.
Geometric invariant theory and decorated principal bundles/ Alexander H.W. Schmitt. - Zürich: European Mathematical Society, 2008. - vii, 389 pages: illustrations; 25 cm. - Zürich lectures in advanced mathematics . - Zürich lectures in advanced mathematics. .
Includes bibliographical references (pages 363-377) and index.
Algebraic groups and their representations -- Geometric invariant theory for affine varieties : a first encounter -- Examples from classical invariant theory -- Mumford's geometric invariant theory -- Criteria for stability and semistability -- The variation of GIT-quotients -- The analysis of unstable points -- Decorated principal bundles -- Rudiments of the theory of vector bundles -- Decorated vector bundles : projective fibers -- Principal bundles as swamps -- Decorated tuples of vector bundles : projective fibers -- Principal bundles as tumps -- Decorated principal bundles : projective fibers -- Decorated principal bundles : affine fibers .
9783037190654 3037190655
2009417040
Geometry, Algebraic.
Invariants.
Moduli theory.
516.35 / S355g
Geometric invariant theory and decorated principal bundles/ Alexander H.W. Schmitt. - Zürich: European Mathematical Society, 2008. - vii, 389 pages: illustrations; 25 cm. - Zürich lectures in advanced mathematics . - Zürich lectures in advanced mathematics. .
Includes bibliographical references (pages 363-377) and index.
Algebraic groups and their representations -- Geometric invariant theory for affine varieties : a first encounter -- Examples from classical invariant theory -- Mumford's geometric invariant theory -- Criteria for stability and semistability -- The variation of GIT-quotients -- The analysis of unstable points -- Decorated principal bundles -- Rudiments of the theory of vector bundles -- Decorated vector bundles : projective fibers -- Principal bundles as swamps -- Decorated tuples of vector bundles : projective fibers -- Principal bundles as tumps -- Decorated principal bundles : projective fibers -- Decorated principal bundles : affine fibers .
9783037190654 3037190655
2009417040
Geometry, Algebraic.
Invariants.
Moduli theory.
516.35 / S355g