Gourt > Science > Math > Geometry > Algebraic Geometry (6)
Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials. When there is more than one variable, geometric considerations enter and are important to understand the phenomenon. One can say that the subject starts where equation solving leaves off, and it becomes at least as important to understand the totality of solutions of a system of equations as to find some solution; this does lead into some of the deepest waters in the whole of mathematics, both conceptually and in terms of technique.
Zeros of simultaneous polynomials
In classical algebraic geometry, the main objects of interest are the vanishing sets of collections of polynomials, meaning the set of all points that simultaneously satisfy one or more polynomial equations. For instance, the three-dimensional sphere in three-dimensional Euclidean space could be defined as the set of all points with
- .
FM2010 is here. Install, then Algebraic Geometry.
yomcat (Michael Welsh) Thu, 05 Nov 2009 23:54:39 -0000
FM2010 is here. Install, then Algebraic Geometry.
How do you teach algebraic geometry to a very smart 5th grader?
AskRob (Robert Wilson) Wed, 04 Nov 2009 00:16:19 -0000
How do you teach algebraic geometry to a very smart 5th grader?
@tommo39 Yeah, an algebraic geometry exam.
yomcat (Michael Welsh) Tue, 03 Nov 2009 23:22:06 -0000
@tommo39 Yeah, an algebraic geometry exam.
the sun's out! Fuck algebraic geometry, i'm going for a walk in durham
apostolis09 (daniel) Sat, 31 Oct 2009 14:30:37 -0000
the sun's out! Fuck algebraic geometry, i'm going for a walk in durham
Algebraic Geometry in Coding Theory - by H. Niederreiter - Princeton University Press. http://tinyurl.com/ykunvvs
math_book (Mathematics Books) Fri, 30 Oct 2009 13:01:35 -0000
Algebraic Geometry in Coding Theory - by H. Niederreiter - Princeton University Press. http://tinyurl.com/ykunvvs
æ°è«å¹¾ä½ãå¦ã¶ããã®æ¬ã§ãå§ããªã®ã¯ä»£æ°å¹¾ä½ã¯Hartshorne "Algebraic Geometry" 代æ°çæ´æ°è«ã¯Neukirch "Algebraic Number Theory"ãªããã§ãããã
ryu_Odigaunt (ä¸æé¾ä¹ä») Fri, 30 Oct 2009 09:58:27 -0000
数論幾何を学ぶための本でお勧めなのは代数幾何はHartshorne "Algebraic Geometry" 代数的整数論はNeukirch "Algebraic Number Theory"なんかですかね。
AGATHOS - Algebraic Geometry: A Total Hypertext Online System - An online system for learning algebraic geometry.
Algebraic Curves - Lecture Notes from H.W. Lenstra's course Math 274, Berkeley 1995.
Algebraic Curves - An overview.
404
Algebraic Geometry - Links and list of algebraic geometers.
Meta Description: [ Some information about algebraic geometry and
geometers ]
Algebraic Geometry Notebooks for Non-Experts - By Aksel Sogstad. Short introductory sketch of some topics in the algebraic geometry of curves.
Differential Algebraic Geometry - A Scheme-theoretic Approach - Slides in multimedia format from a lecture by Henri Gillet at MSRI.
Introduction to Algebraic Geometry - Illustrated webnotes by Donu Arapura.
Noncommutative Geometry and Algebra - People, groups and publications. Compiled by Paul Smith, University of Washington.
404
Projections of Complex Algebraic Curves to Real 3-space - Graphics.
The Brill-Noether Project - Aims to answer the basic questions this theory B(n,d,k) for vector bundles on algebraic curves. Welcomes contributions.
The Cubic Surface Homepage - Images, software, links. At the University of Mainz, Germany.
The Hodge Conjecture - A description of the conjecture by Deligne (PDF) and details of the prize offered for its resolution.
| The Story of Maths (Episode 4 - part 4 of 5) - BBC 20th Century & The Frontiers of Science | |
| Next Video | |
