Steady Gradient Kahler-Ricci Solitons on Crepant Resolutions of Calabi-Yau Cones

Ronan J. Conlon, Alix Deruelle (Autoren)

Buch | Softcover

119 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7274-0 (ISBN)

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Presenting in-depth research in pure and applied mathematics, this volume compiles lengthy papers and groups of related studies into a unified work. Overseen by a dedicated Editorial Committee, every paper is meticulously peer-reviewed, ensuring robust scholarly contributions and rigorous analytical insights.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Ronan J. Conlon, The University of Texas at Dallas, Richardson, Texas. Alix Deruelle, Universite Paris-Saclay, Orsay, France.

Chapters
1. Introduction
2. Preliminaries
3. Asymptotics of Cao's steady gradient Kahler-Ricci soliton
4. Constructing a background metric and the equation set-up
5. Poincare inequality for steady gradient Ricci solitons
6. Invertibility of the drift Laplacian: Exponential case
7. A priori estimates
8. Invertibility of the drift Laplacian: Polynomial case
9. Proof of Theorem
A. The model metric $/hat {g}$

Erscheinungsdatum	03.06.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-7274-0 / 1470472740
ISBN-13	978-1-4704-7274-0 / 9781470472740
Zustand	Neuware