4 edition of **Higher dimensional complex varieties** found in the catalog.

- 44 Want to read
- 24 Currently reading

Published
**1996**
by Walter de Gruyter in Berlin, New York
.

Written in English

- Complex manifolds -- Congresses.,
- Algebraic varieties -- Congresses.

**Edition Notes**

Statement | editors, Marco Andreatta, Thomas Peternell. |

Contributions | Andreatta, Marco, 1958-, Peternell, Th. 1954-, International School--Conference on Higher Dimensional Complex Geometry (1994 : Trento, Italy) |

Classifications | |
---|---|

LC Classifications | QA613 .H54 1996 |

The Physical Object | |

Pagination | viii, 381 p. : |

Number of Pages | 381 |

ID Numbers | |

Open Library | OL970516M |

ISBN 10 | 3110145030 |

LC Control Number | 96007246 |

0 is an isomorphism onto a closed (complex) submanifold. (The Abel{Jacobi theorem gives even ner information.) In particular, if g 2 then Xis a curve in a higher-dimensional complex torus J X. Now we can formulate Weil’s idea. Let us suppose that, despite the apparently very analytic method of construction of J X and i x 0. possibly, the most studied of all algebraic varieties. The aim of this book is to generalize the moduli theory of curves to surfaces and to higher dimensional varieties. In the introduction we start to outline how this is done, and, more importantly, to explain why the answer for surfaces is much more complicated than for curves.

7. Blow-ups of higher dimensional toric varieties ; 8. Blow-ups of toric surfaces ; References ; The space of arcs of an algebraic variety ; 1. Introduction ; 2. The space of arcs ; 3. Arcs through the singular locus ; 4. Dimension one ; 5. Dimension two ; 6. Higher dimensions This volume is the proceedings of the conference ""Higher Dimensional Algebraic Geometry'', in honor of Professor Yujiro Kawamata's 60th volume consists of 20 inspiring research papers on birational algebraic geometry, minimal model program, derived algebraic geometry, classification of algebraic varieties, transcendental methods.

The Mathematical Sciences Research Institute (MSRI), founded in , is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning discusses the corresponding pseudogroup structures on higher-dimensional complex manifolds, modeled on the theory as developed for Riemann surfaces. Originally published in

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Higher Dimensional Complex Varieties by was published on 20 Jul by De Gruyter. “The present text presents the proofs of many results surrounding the minimal model program (MMP) for higher-dimensional varieties. This text treats the subject in the great generality which is required for getting the most recent results.

Hence, it is laden with terminology, all Cited by: Higher Dimensional Complex Varieties Proceedings of the International Conference held in Trento, Italy, June 15 - 24, Ed. by Andreatta, Marco / Peternell, Thomas. Classification of Higher Dimensional Algebraic Varieties (Oberwolfach Seminars Book 41) - Kindle edition by Hacon, Christopher D., Kovács, Sándor.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Classification of Higher Dimensional Algebraic Varieties (Oberwolfach Seminars Book 41).5/5(1).

The subject of this book is the classification theory and geometry of higher dimensional varieties: existence and geometry of rational curves via characteristic p-methods, manifolds with negative Kodaira dimension, vanishing theorems, theory of extremal rays (Mori theory), and minimal models.

This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous.

This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. The first part gives a detailed account of recent results in the minimal model program.

In particular, it contains a complete proof of the theorems on the existence of flips, onBrand: Birkhäuser Basel. Classification of Higher Dimensional Algebraic Varieties.

Authors (view affiliations) This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. local closedness and separatedness of moduli spaces and the boundedness for varieties of general type.

The book is aimed at. Classification of Higher Dimensional Algebraic Varieties Christopher Sándor Kovács (auth.) This book focuses on recent advances in the classification of complex projective varieties.

It is divided into two parts. the boundedness, local closedness and separatedness of moduli spaces and the boundedness for varieties of general type.

The. Herbert Clemens, János Kollár, Shigefumi Mori, Higher-dimensional complex geometry, Astérisque (), pp. Arithmetic aspects. Goro Shimura, Abelian varieties with complex multiplication and modular functions, Princeton Univ. Press ; Dale Husemöller, Elliptic curves, Graduate Texts in Mathematics.

(2nd ed.). Springer. The simplest kinds of complex higher-dimensional noncommutative tori are what one can call “products of noncommutative elliptic curves”.

These are the noncommutative analogues of products of elliptic curves, which are very special even within the class of abelian varieties, let alone within all complex tori. The coefficient (x, 8;) was first obtained by Lefschetz. In his book [L] () is the "thre fondamentale", Chap. 11, upon which he builds the investigation of algebraic surfaces.

Later in [L], Chap. V, Nos. 6 and 7, he generalizes the result from surfaces to higher dimensional manifolds. The following sections contain the proof of ().

This book takes the classical theory of complex tori and complex abelian varieties as a pretext to go through more modern aspects of complex algebraic and analytic geometry. Starting with complex elliptic curves, it moves on to the higher-dimensional case, giving characterizations from different points of view of those complex tori which are abelian varieties, i.e., those that can be.

Beginning with complex elliptic curves, the book moves on to the higher-dimensional case, giving characterizations from different points of view of those complex tori which are abelian varieties, i.e., those that can be holomorphically embedded in a projective space. varieties), it contains beautiful geometric results which have their own interest and which are also much more accessible than the latest developments of the MMP.

Assuming that the reader is familiar with the basics of algebraic geometry (e.g., the contents of the book [H]), we present in these notes the necessary material (and a bit more). This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years.

The work is in two parts, with each one preceeded. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Arithmetic of higher-dimensional algebraic varieties in SearchWorks catalog Skip to search Skip to main content.

We have many reasons to choose such a theorem and its generalizations to higher dimensional varieties A and X, as a basic theme of our book. First, it uses the usual topology of algebraic varieties over complex numbers.

The same statement is triv-ially false with Zariski topology. Therefore, it cannot be stated in a purely algebraic context. This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 : $ Yukari Ito and Miles Reid, The McKay correspondence for finite subgroups of SL(3, C), Higher-dimensional complex varieties (Trento, ), de Gruyter, Berlin.

went on to the next dimension and began to investigate the topology of complex algebraic surfaces. From on Lefschetz continued their work and extended it to higher dimensional varieties.

In he published his famous exposition [L] of this work.Get this from a library! Classification of higher dimensional algebraic varieties. [Christopher Derek Hacon; Sándor J Kovács] -- This book focuses on recent advances in the classification of complex projective varieties.

It is divided into two parts. The first part gives a .A very important issue in considering higher dimensional moduli problems is that, as opposed to the case of curves, when studying families of higher dimensional varieties one must put conditions.