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Families of Varieties of General Type

2023-04-20 Mathematics
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Release : 2023-04-20
Genre : Mathematics
Kind : eBook
Book Rating : 148/5 ( reviews)

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Book Synopsis Families of Varieties of General Type by : János Kollár

Download or read book Families of Varieties of General Type written by János Kollár. This book was released on 2023-04-20. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the moduli theory of stable varieties, giving the optimal approach to understanding families of varieties of general type. Starting from the Deligne–Mumford theory of the moduli of curves and using Mori's program as a main tool, the book develops the techniques necessary for a theory in all dimensions. The main results give all the expected general properties, including a projective coarse moduli space. A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.

Families of Varieties of General Type

2023-04-30 Mathematics
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Release : 2023-04-30
Genre : Mathematics
Kind : eBook
Book Rating : 105/5 ( reviews)

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Book Synopsis Families of Varieties of General Type by : János Kollár

Download or read book Families of Varieties of General Type written by János Kollár. This book was released on 2023-04-30. Available in PDF, EPUB and Kindle. Book excerpt: The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.

Classification of Higher Dimensional Algebraic Varieties

2011-02-02 Mathematics
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Release : 2011-02-02
Genre : Mathematics
Kind : eBook
Book Rating : 901/5 ( reviews)

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Book Synopsis Classification of Higher Dimensional Algebraic Varieties by : Christopher D. Hacon

Download or read book Classification of Higher Dimensional Algebraic Varieties written by Christopher D. Hacon. This book was released on 2011-02-02. Available in PDF, EPUB and Kindle. Book excerpt: Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model program are discussed, and an introduction to the theory of moduli spaces is presented.

Number Theory

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 644/5 ( reviews)

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Book Synopsis Number Theory by : Canadian Number Theory Association. Conference

Download or read book Number Theory written by Canadian Number Theory Association. Conference. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers presented at the Fifth Canadian Number Theory Association (CNTA) conference held at Carleton University Ottawa, Ontario. The invited speakers focused on arithmetic algebraic geometry and elliptic curves, diophantine problems, analytic number theory, and algebraic and computational number theory. The contributed talks represented a wide variety of areas in number theory. David Boyd gave an hour-long talk on Mahler's Measure and Elliptic Curves. This lecture was open to the public and attracted a large audience from outside the conference.

Theory of Algebraic Surfaces

2020-09-17 Mathematics
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Release : 2020-09-17
Genre : Mathematics
Kind : eBook
Book Rating : 808/5 ( reviews)

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Book Synopsis Theory of Algebraic Surfaces by : Kunihiko Kodaira

Download or read book Theory of Algebraic Surfaces written by Kunihiko Kodaira. This book was released on 2020-09-17. Available in PDF, EPUB and Kindle. Book excerpt: This is an English translation of the book in Japanese, published as the volume 20 in the series of Seminar Notes from The University of Tokyo that grew out of a course of lectures by Professor Kunihiko Kodaira in 1967. It serves as an almost self-contained introduction to the theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the arithmetic genus. It also discusses the behavior of the pluri-canonical maps of surfaces of general type as a practical application of the general theory. The book is aimed at graduate students and also at anyone interested in algebraic surfaces, and readers are expected to have only a basic knowledge of complex manifolds as a prerequisite.

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