Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area.
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Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area.
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Inside This Book
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First Sentence:
The aim of these notes is to give an introduction to the ideas and techniques of handling rational curves on varieties. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
free rational curves, dense rational points, rationally connected varieties, pour les fibres, rationally connected variety, degenerate fibers, higher dimensional varieties, effective cone, rational quotient, generic fiber, smooth locus, admissible families, stable curves, elliptic fibration, smooth projective curves, smooth projective variety, bounded height, elliptic surfaces, rational varieties, singular fibers, irreducible curve, vanishing theorems, effective divisors, des entiers, projective scheme Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sir Peter, Algebraic Geom, New York, Pure Math, Sketch Proof New!
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The aim of these notes is to give an introduction to the ideas and techniques of handling rational curves on varieties. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
free rational curves, dense rational points, rationally connected varieties, pour les fibres, rationally connected variety, degenerate fibers, higher dimensional varieties, effective cone, rational quotient, generic fiber, smooth locus, admissible families, stable curves, elliptic fibration, smooth projective curves, smooth projective variety, bounded height, elliptic surfaces, rational varieties, singular fibers, irreducible curve, vanishing theorems, effective divisors, des entiers, projective scheme Key Phrases - Capitalized Phrases (CAPs): (learn more)
Sir Peter, Algebraic Geom, New York, Pure Math, Sketch Proof New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 5
books:
3
books
cite this book:
- Arithmetic Duality Theorems by J. S. Milne on page 220
- Graph Theory and Combinatorial Biology (Bolyai Society Mathematical Studies, 7) by Laszlo Lovasz in Front Matter
- Intuitive Geometry (Colloquia Mathematica Societatis Janos Bolyai) by K. Boroczky in Front Matter
- Approximation Theory (Pure and Applied Mathematics) (Chapman & Hall/CRC Pure and Applied Mathematics) by Narenda Govil in Front Matter
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne on page 165
- Surgery on Contact 3-Manifolds and Stein Surfaces (Bolyai Society Mathematical Studies) by Burak Ozbagci in Front Matter
- More Sets, Graphs and Numbers: A Salute to Vera Sňs and András Hajnal (Bolyai Society Mathematical Studies) by Ervin Gyori in Front Matter
- A Panorama of Hungarian Mathematics in the Twentieth Century, I (Bolyai Society Mathematical Studies) (v. 1) by Janos Horvath in Front Matter
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