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Author: FRIEDMANN
Publisher: Springer
ISBN: 9780817631116
Category : Science
Languages : en
Pages : 386
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Book Description
Author: FRIEDMANN
Publisher: Springer
ISBN: 9780817631116
Category : Science
Languages : en
Pages : 386
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Robert Friedman
Publisher: Birkhauser
ISBN:
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Author: Ivan Cheltsov
Publisher: Springer Nature
ISBN: 3031178599
Category : Mathematics
Languages : en
Pages : 882
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Book Description
This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and Pohang The conferences were focused on the following two related problems: • existence of Kähler–Einstein metrics on Fano varieties • degenerations of Fano varieties on which two famous conjectures were recently proved. The first is the famous Borisov–Alexeev–Borisov Conjecture on the boundedness of Fano varieties, proved by Caucher Birkar (for which he was awarded the Fields medal in 2018), and the second one is the (arguably even more famous) Tian–Yau–Donaldson Conjecture on the existence of Kähler–Einstein metrics on (smooth) Fano varieties and K-stability, which was proved by Xiuxiong Chen, Sir Simon Donaldson and Song Sun. The solutions for these longstanding conjectures have opened new directions in birational and Kähler geometries. These research directions generated new interesting mathematical problems, attracting the attention of mathematicians worldwide. These conferences brought together top researchers in both fields (birational geometry and complex geometry) to solve some of these problems and understand the relations between them. The result of this activity is collected in this book, which contains contributions by sixty nine mathematicians, who contributed forty three research and survey papers to this volume. Many of them were participants of the Moscow–Shanghai–Pohang conferences, while the others helped to expand the research breadth of the volume—the diversity of their contributions reflects the vitality of modern Algebraic Geometry.
Author: Robert Friedman
Publisher: Birkhauser
ISBN:
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Author: Elisabetta Colombo
Publisher: Springer Nature
ISBN: 303037114X
Category : Mathematics
Languages : en
Pages : 200
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Book Description
This volume collects contributions from speakers at the INdAM Workshop “Birational Geometry and Moduli Spaces”, which was held in Rome on 11–15 June 2018. The workshop was devoted to the interplay between birational geometry and moduli spaces and the contributions of the volume reflect the same idea, focusing on both these areas and their interaction. In particular, the book includes both surveys and original papers on irreducible holomorphic symplectic manifolds, Severi varieties, degenerations of Calabi-Yau varieties, uniruled threefolds, toric Fano threefolds, mirror symmetry, canonical bundle formula, the Lefschetz principle, birational transformations, and deformations of diagrams of algebras. The intention is to disseminate the knowledge of advanced results and key techniques used to solve open problems. The book is intended for all advanced graduate students and researchers interested in the new research frontiers of birational geometry and moduli spaces.
Author: Ulf Persson
Publisher: American Mathematical Soc.
ISBN: 082182189X
Category : Mathematics
Languages : en
Pages : 164
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Book Description
We will study the relationships between the components of a singular fiber and the non-singular fiber, in a family of surfaces over a disc. Special emphasis will be put on the ties with classification theory of surfaces.
Author: Kenji Matsuki
Publisher: American Mathematical Soc.
ISBN: 0821803417
Category : Mathematics
Languages : en
Pages : 146
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Book Description
In this paper we provide a unified way of looking at the apparently sporadic Weyl groups connected with the classical geometry of surfaces, namely those with 1) the rational double points, 2) the Picard groups of Del Pezzo surfaces, 3) the Kodaira-type degenerations of elliptic curves, and 4) the Picard-Lefschetz reflections of [italic]K3-surfaces, by putting them together into the picture of 3-dimensional birational geometry in the realm of the recently established Minimal Model Theory for 3-folds.
Author: Alessio Corti
Publisher: Cambridge University Press
ISBN: 9780521636414
Category : Mathematics
Languages : en
Pages : 364
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Book Description
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.
Author: David Bourqui
Publisher: World Scientific
ISBN: 1786347210
Category : Mathematics
Languages : en
Pages : 312
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Book Description
This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme.Other related topics are also explored, including motivic integration and dual intersection complexes of resolutions of singularities. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory.
