Jurusan Manajemen E-books

Algebraic Geometry

Download E-books Arakelov Geometry (Translations of Mathematical Monographs) PDF

The most aim of this ebook is to give the so-called birational Arakelov geometry, which might be seen as an mathematics analog of the classical birational geometry, i.e., the learn of huge linear sequence on algebraic types. After explaining classical effects concerning the geometry of numbers, the writer begins with Arakelov geometry for mathematics curves, and keeps with Arakelov geometry of mathematics surfaces and higher-dimensional kinds. The publication comprises such basic effects as mathematics Hilbert-Samuel formulation, mathematics Nakai-Moishezon criterion, mathematics Bogomolov inequality, the lifestyles of small sections, the continuity of mathematics quantity functionality, the Lang-Bogomolov conjecture etc. moreover, the writer offers, with complete info, the evidence of Faltings' Riemann-Roch theorem. must haves for examining this publication are the elemental result of algebraic geometry and the language of schemes.

Show description

Read or Download Arakelov Geometry (Translations of Mathematical Monographs) PDF

Best Algebraic Geometry books

The Turban for the Crown: The Islamic Revolution in Iran (Studies in Middle Eastern History)

The Iranian revolution nonetheless baffles so much Western observers. Few thought of the increase of theocracy in a modernized country attainable, and less concept it will possibly consequence from a well-liked revolution. stated Amir Arjomand's The Turban for the Crown presents a considerate, painstakingly researched, and intelligible account of the turmoil in Iran which finds the significance of this singular occasion for our knowing of revolutions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and strategies during this sector. appropriate for self-study by means of a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.

A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228)

This ebook introduces the speculation of modular kinds, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner concept; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian kinds linked to Hecke eigenforms.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In response to a direction given to proficient high-school scholars at Ohio college in 1988, this publication is basically a sophisticated undergraduate textbook concerning the arithmetic of fractal geometry. It properly bridges the space among conventional books on topology/analysis and extra really expert treatises on fractal geometry.

Extra info for Arakelov Geometry (Translations of Mathematical Monographs)

Show sample text content

Rated 4.70 of 5 – based on 12 votes