Jurusan Manajemen E-books

Algebraic Geometry

Download E-books Topological Methods in Algebraic Geometry: Reprint of the 1978 Edition (Classics in Mathematics) PDF

By Friedrich Hirzebruch

In recent times new topological tools, specially the idea of sheaves based by way of J. LERAY, were utilized effectively to algebraic geometry and to the idea of services of a number of complicated variables. H. CARTAN and J. -P. SERRE have proven how basic theorems on holomorphically entire manifolds (STEIN manifolds) could be for­ mulated when it comes to sheaf conception. those theorems indicate many evidence of functionality concept as the domain names of holomorphy are holomorphically whole. they could even be utilized to algebraic geometry as the supplement of a hyperplane element of an algebraic manifold is holo­ morphically whole. J. -P. SERRE has bought very important effects on algebraic manifolds by means of those and different equipment. lately lots of his effects were proved for algebraic types outlined over a box of arbitrary attribute. ok. KODAIRA and D. C. SPENCER have additionally utilized sheaf idea to algebraic geometry with nice good fortune. Their equipment vary from these of SERRE in that they use concepts from differential geometry (harmonic integrals and so forth. ) yet don't make any use of the speculation of STEIN manifolds. M. F. ATIYAH and W. V. D. HODGE have dealt effectively with difficulties on integrals of the second one type on algebraic manifolds with assistance from sheaf thought. i used to be capable of interact with okay. KODAIRA and D. C. SPENCER in the course of a remain on the Institute for complicated research at Princeton from 1952 to 1954.

Show description

Read Online or Download Topological Methods in Algebraic Geometry: Reprint of the 1978 Edition (Classics in Mathematics) 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 kingdom attainable, and less idea it may well end result from a well-liked revolution. stated Amir Arjomand's The Turban for the Crown offers a considerate, painstakingly researched, and intelligible account of the turmoil in Iran which unearths the significance of this singular occasion for our realizing 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 methods during this quarter. appropriate for self-study through a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a well 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 publication introduces the idea of modular types, from which all rational elliptic curves come up, with an eye fixed towards the Modularity Theorem. dialogue covers elliptic curves as complicated 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 types linked to Hecke eigenforms.

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

According to a direction given to gifted high-school scholars at Ohio college in 1988, this e-book is largely a complicated undergraduate textbook in regards to the arithmetic of fractal geometry. It well bridges the space among conventional books on topology/analysis and extra really expert treatises on fractal geometry.

Extra info for Topological Methods in Algebraic Geometry: Reprint of the 1978 Edition (Classics in Mathematics)

Show sample text content

Rated 4.20 of 5 – based on 30 votes