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＜E-Book＞
Capacity theory with local rationality : the strong Fekete-Szeg�o theorem on curves / Robert Rumely
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 193)

Publisher	Providence, Rhode Island : American Mathematical Society
Year	[2013]
Size	1 online resource (xxvi, 437 pages)
Authors	*Rumely, Robert 1952- author
Subjects	LCSH:Curves, Algebraic LCSH:Arithmetical algebraic geometry FREE:Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves of arbitrary genus or genus $\ne 1$ over global fields  All Subject Search FREE:Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic varieties and schemes; Arakelov theory; heights  All Subject Search FREE:Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points  All Subject Search FREE:Potential theory -- Other generalizations -- Potentials and capacities  All Subject Search
Contents	1. Variants 2. Examples and applications 3. Preliminaries 4. Reductions 5. Initial approximating functions: Archimedean case 6. Initial approximating functions: Nonarchimedean case 7. The global patching construction 8. Local patching when $K_v \cong \mathbb {C}$ 9. Local patching when $K_v \cong \mathbb {R}$ 10. Local patching for nonarchimedean RL-domains 11. Local patching for nonarchimedean $K_v$-simple sets Appendix A. $(\mathfrak {X},\vec {s})$-Potential theory Appendix B. The construction of oscillating pseudopolynomials Appendix C. The universal function Appendix D. The local action of the Jacobian
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2013 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/193 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/193 Information=Contents

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