## Algebraic Transformation Groups and Algebraic Varieties: Proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schrödinger Institute, Vienna, October 22–26, 2001The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research. |

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### Contents

Factoriality Of Certain Hypersurfaces Of P⁴ With Ordinary Double Points | 1 |

Boundedness For Low Codimensional Subvarieties | 9 |

Normality and Non Normality Of Certain Semigroups and Orbit Closures | 15 |

Deformation Rigidity Of the 20dimensional F₄homogeneous Space Associated To a Short Root | 37 |

SeveriBrauer Varieties and Symmetric Powers | 59 |

Representation Theory and Projective Geometry | 71 |

Geometric Realization Of Tshaped Root Systems and Counterexamples To Hilberts Fourteenth Problem | 123 |

Selfdual Projective Algebraic Varieties Associated With Symmetric Spaces | 131 |

The Role Of Exotic Affine Spaces In the Classification Of Homogeneous Affine Varieties | 169 |

Hermitian Characteristics Of Nilpotent Elements | 177 |

Determinants of Projective Varieties and their Degrees | 207 |

### Other editions - View all

Algebraic Transformation Groups and Algebraic Varieties: Proceedings of the ... Vladimir Leonidovich Popov No preview available - 2010 |

Algebraic Transformation Groups and Algebraic Varieties Vladimir Leonidovich Popov No preview available - 2014 |

### Common terms and phrases

action adjoint affine ample associated assume bound bundle called characteristic classification closed closure compact complete intersection complex components consider construction contains corresponding curve decomposition defined definition denote determinant diagram dimension dual element embedding equal equivalent example exceptional exists fact field finite fixed formula geometry given gives hence Hermitian holds homogeneous hyperplane hypersurface implies intersection invariant irreducible isomorphic K-orbits Lemma Lie algebra linear Math matrices maximal minimal multiplication natural nilpotent nondegenerate nonzero normal Note obtain orbit parabolic particular plane projective Proof properties Proposition prove rank rational recall reductive Remark representation resp respect restriction result ring root simple singularities smooth space span structure subalgebra subgroup subvariety Suppose symmetric tangent Theorem theory trivial unique varieties vector weight