6 edition of **Complex algebraic geometry** found in the catalog.

- 375 Want to read
- 27 Currently reading

Published
**1997** by American Mathematical Society, Institute for Advanced Study in Providence, R.I .

Written in

- Geometry, Algebraic -- Congresses.

**Edition Notes**

Statement | János Kollár, editor. |

Series | IAS/Park City mathematics series,, v. 3 |

Contributions | Kollár, János. |

Classifications | |
---|---|

LC Classifications | QA564 .C655 1997 |

The Physical Object | |

Pagination | xi, 340 p. : |

Number of Pages | 340 |

ID Numbers | |

Open Library | OL1002508M |

ISBN 10 | 0821804324 |

LC Control Number | 96041826 |

Phillip Augustus Griffiths IV (born Octo ) is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic was a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli also worked on partial differential equations, coauthored with Chern.

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The approach adopted in this course makes plain the similarities between these different. The material presented here consists of a more or less self contained advanced course in complex algebraic geometry presupposing only some familiarity with the theory of algebraic curves or Riemann surfaces. But the goal, is to understand the Enriques classification of surfaces from the point of view of Mori theory.

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Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.5/5(4). Algebraic Geometry Notes I. This note covers the following topics: Hochschild cohomology and group actions, Differential Weil Descent and Differentially Large Fields, Minimum positive entropy of complex Enriques surface automorphisms, Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces, Superstring Field Theory, Superforms and Supergeometry, Picard groups for tropical toric.

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The approach chosen by the author balances the algebraic and transcendental approaches and unifies them by using sheaf theoretical methods. Brand: Springer-Verlag New York. Hodge Theory and Complex Algebraic Geometry II: Volume 2 (Cambridge Studies in Advanced Mathematics Book 77) - Kindle edition by Voisin, Claire, Schneps, Leila.

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As with Volume 1 the author has revised the text and added new material, e.g. a section on real algebraic curves. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P.

Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry. This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics.

They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr.

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Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed. The articles in this volume cover some developments in complex analysis and algebraic geometry.

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The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. This is the first semester of a two-semester sequence on Algebraic Geometry.

The goal of the course is to introduce the basic notions and techniques of modern algebraic geometry. It covers fundamental notions and results about algebraic varieties over an algebraically closed field; relations between complex algebraic varieties.

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