Rational Curves on Quasi-Projective Surfaces

Rational Curves on Quasi-Projective Surfaces PDF Author: Seán Keel
Publisher: American Mathematical Soc.
ISBN: 0821810960
Category : Mathematics
Languages : en
Pages : 169

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Book Description
This book is intended for graduate students and research mathematicians working in algebraic geometry

Rational Curves on Quasi-Projective Surfaces

Rational Curves on Quasi-Projective Surfaces PDF Author: Seán Keel
Publisher: American Mathematical Soc.
ISBN: 0821810960
Category : Mathematics
Languages : en
Pages : 169

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Book Description
This book is intended for graduate students and research mathematicians working in algebraic geometry

Rational Curves on Quasi-Projective Surfaces

Rational Curves on Quasi-Projective Surfaces PDF Author: Seán Keel
Publisher:
ISBN: 9781470402600
Category : Algebraic varieties
Languages : en
Pages : 153

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Book Description
This book is intended for graduate students and research mathematicians working in algebraic geometry

Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties

Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties PDF Author: Carlo Gasbarri
Publisher: American Mathematical Soc.
ISBN: 1470414589
Category : Mathematics
Languages : en
Pages : 176

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Book Description
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation. This book is co-published with the Centre de Recherches Mathématiques.

Lectures on Curves on Rational and Unirational Surfaces

Lectures on Curves on Rational and Unirational Surfaces PDF Author: Masayoshi Miyanishi
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 332

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Book Description


The Severi Problem for Rational Curves on Del Pezzo Surfaces

The Severi Problem for Rational Curves on Del Pezzo Surfaces PDF Author: Damiano Testa
Publisher:
ISBN:
Category :
Languages : en
Pages : 142

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Book Description
Let X be a smooth projective surface and choose a curve C on X. Let VC be the set of all irreducible divisors on X linearly equivalent to C whose normalization is a rational curve. The Severi problem for rational curves on X with divisor class [C] consists of studying the irreducibility of the spaces VC as C varies among all curves on X. In this thesis, we prove that all the spaces VC are irreducible in the case where X is a del Pezzo surface of degree at least two. If the degree of X is one, then we prove the same result only for a general X, with the exception of V-KX, where KX is the canonical divisor of X. It is well known that for general del Pezzo surface of degree one, V-KX consists of twelve points, and thus cannot be irreducible.

Algebraic Geometry In East Asia, Proceedings Of The Symposium

Algebraic Geometry In East Asia, Proceedings Of The Symposium PDF Author: Kazuhiro Konno
Publisher: World Scientific
ISBN: 9814486736
Category : Mathematics
Languages : en
Pages : 273

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Book Description
This book is the proceedings of the conference “Algebraic Geometry in East Asia” which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry.

Proceedings of the Symposium on Algebraic Geometry in East Asia

Proceedings of the Symposium on Algebraic Geometry in East Asia PDF Author: Akira Ohbuchi
Publisher: World Scientific
ISBN: 9789812705105
Category : Mathematics
Languages : en
Pages : 280

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Book Description
This book is the proceedings of the conference OC Algebraic Geometry in East AsiaOCO which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry."

Global Aspects of Complex Geometry

Global Aspects of Complex Geometry PDF Author: Fabrizio Catanese
Publisher: Springer Science & Business Media
ISBN: 3540354808
Category : Mathematics
Languages : en
Pages : 508

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Book Description
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

Local and Global Methods in Algebraic Geometry

Local and Global Methods in Algebraic Geometry PDF Author: Nero Budur
Publisher: American Mathematical Soc.
ISBN: 1470434881
Category : Mathematics
Languages : en
Pages : 370

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Book Description
This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12–15, 2016, at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, geometry of surfaces, singularity theory, hyper-Kähler geometry, rational points, and rational curves.

Algebraic Geometry Santa Cruz 1995

Algebraic Geometry Santa Cruz 1995 PDF Author: János Kollár
Publisher: American Mathematical Soc.
ISBN: 082180894X
Category : Geometry, Algebraic
Languages : en
Pages : 469

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Book Description