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 equipment, specially the speculation of sheaves based via J. LERAY, were utilized effectively to algebraic geometry and to the speculation of features of a number of complicated variables. H. CARTAN and J. -P. SERRE have proven how primary theorems on holomorphically whole manifolds (STEIN manifolds) will be for­ mulated when it comes to sheaf concept. those theorems suggest many evidence of functionality concept as the domain names of holomorphy are holomorphically entire. they could even be utilized to algebraic geometry as the supplement of a hyperplane portion of an algebraic manifold is holo­ morphically whole. J. -P. SERRE has got very important effects on algebraic manifolds through those and different tools. lately a lot of his effects were proved for algebraic kinds outlined over a box of arbitrary attribute. okay. KODAIRA and D. C. SPENCER have additionally utilized sheaf concept to algebraic geometry with nice luck. Their equipment vary from these of SERRE in that they use suggestions from differential geometry (harmonic integrals and so on. ) yet are not making 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 style on algebraic manifolds with assistance from sheaf idea. 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

Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics)

This new-in-paperback variation offers a basic creation to algebraic and mathematics geometry, beginning with the idea of schemes, via functions to mathematics surfaces and to the speculation of aid of algebraic curves. the 1st half introduces uncomplicated gadgets resembling schemes, morphisms, base swap, neighborhood houses (normality, regularity, Zariski's major Theorem).

Essays in Constructive Mathematics

Contents and therapy are clean and intensely diversified from the traditional remedies offers a completely optimistic model of what it ability to do algebra The exposition isn't just transparent, it's pleasant, philosophical, and thoughtful even to the main naive or green reader

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

First textbook-level account of uncomplicated examples and strategies during this zone. compatible for self-study by means of a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a profitable Springer writer.

Ramanujan's Lost Notebook: Part I (Pt. 1)

Within the library at Trinity university, Cambridge in 1976, George Andrews of Pennsylvania nation college chanced on a sheaf of pages within the handwriting of Srinivasa Ramanujan. quickly exact as "Ramanujan’s misplaced Notebook," it includes huge fabric on mock theta capabilities and surely dates from the final yr of Ramanujan’s lifestyles.

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

Show sample text content

Rated 4.77 of 5 – based on 46 votes