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Algebraic geometry

Video footage: Space time structure made of rows of calabi-yau spaces. A Calabi–Yau space is described in certain branches of mathematics such as algebraic geometry also yield applications in theoretical physics.
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Definition of the noun Algebraic geometry

What does Algebraic geometry mean as a name of something?


  1. [mathematics] a branch of mathematics that studies solutions of systems of algebraic equations using both algebra and geometry.


  1. "Algebraic geometry" is a book by Solomon Lefschetz.
  2. "Algebraic geometry" is a book by Andrew John Sommese.
    • also known as "Algebraic geometry: proceedings of the international conference held in L'Aquila, Italy, May 30-June 4, 1988"
  3. "Algebraic geometry" is a book by Shigeru Iitaka.
    • also known as "Algebraic geometry: an introduction to the birational geometry of algebraic varieties"


Algebraic geometry is a branch of mathematics, classically studying zeros of polynomial equations. Modern algebraic geometry is based on more abstract techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry.

  • also known as 代数几何

Printed dictionaries and other books with definitions for Algebraic geometry

Click on a title to look inside that book (if available):

Google previewNon-Binary Error Control Coding for Wireless Communication and Data Storage (2008)

by Rolando Antonio Carrasco, Martin Johnston

Introduction Algebraic geometry is a powerful mathematical tool for constructing very long nonbinary block codes with excellent parameters, such as high code rate and large Hamming distance. In 1981, Goppa showed how algebraic ...

Google previewMathematical Thought From Ancient to Modern Times (1990)

by Morris Kline

The term algebraic geometry is an unfortunate one because originally it referred to all the work from the time of Fermat and Descartes in which algebra had been applied to geometry; in the latter part of the nineteenth century it was applied to ...

Google previewMonomial Ideals, Computations and Applications (2013)

by Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón

One of the main points related to monomial ideals in commutative algebra and algebraic geometry is that some problems on general polynomial ideals can be reduced to the special case of monomial ideals through the theory of Gr ̈obner ...

Google previewInteractions of Classical and Numerical Algebraic Geometry (2009)

A Conference in Honor of Andrew Sommese : Interactions of Classical and Numerical Algebraic Geometry, May 22-24, 2008, University of Notre Dame, Notre Dame, Indiana by Daniel James Bates

Algebraic geometry is a classical discipline which for many years sat at the intersection of algebra, number theory, several complex variables, and geometry in all its incarnations. The advent of personal computing, and more so the ...

Google previewAbstract Algebra (2015)

Structures and Applications by Stephen Lovett

Algebraic geometry is a vast field of mathematics. Consequently, just as with some of the other “brief introduction” sections in this book, this section only intends to whet the reader's appetite with a few introductory concepts. The literature offers ...

Google previewDictionary of Scientific Terms (1869)

by P. Austin Nuttall

Algebraic geometry is a name given to the application of algebra to geometrical problems. — Algebraic curve is a figure whose intercepted diameters ...

Google previewCRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

Ideals, Varieties, and Algorithms: An Introduction to Algebraic Geometry and Commutative Algebra, 2nd ed. New York: SpringerVerlag, 1996. Eisenbud, D. Commutative Algebra with a View ...

Google previewEncyclopedic Dictionary of Mathematics (1993)

by Kiyosi Itô

Algebraic Geometry We usually assume that the coordinates of each point of the variety belong to a certain fixed *field K. In the classical case, namely, when the field K is the field C of complex numbers, the algebraic varieties are considered ...

Google previewEncyclopaedia of Mathematics (set) (1994)

by Michiel Hazewinkel

Basic algebraic geometry, Springer, 1977 ( translated ...

Google previewEncyclopaedia of Mathematics, Supplement III (2001)

by Michiel Hazewinkel

Algebraic Geometry (Bowdoin, 1985), Vol. 46:2 of Proc. Symp. Pure Math., Amer.


by McGraw-Hill Education

{ :al-ja:bra-ik 'faer-shan } algebraic geometry The study of geometric properties of figures using methods of abstract algebra. { :al-jo:bra-ik je'am~a-tre } algebraic hypersurface For an n-dimensional Euclidean space with coordinates x1, 12, ..., x ", ...

Google previewA new universal etymological technological, and pronouncing dictionary of the English language (1848)

by John Craig (F.G.S.)

Algebraic geometry, a name given to ...

Google previewA New Universal Etymological, Technological, and Pronouncing Dictionary of the English Language, Embracing All the Terms Used in Science, Literature and Art (1858)

by John CRAIG (F.G.S.)

Algebraic geometry, a name given to the application of algebra to geometrical problems. ALGEBRAICALLY, al-je-bra'e-kal-le, ad. By algebraical process. ALGEBRAIST, alje-bray-ist, s. the science of algebra. ALGEBRA1ze, alje-bray-ize , v. a. ...

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Photo about Algebraic geometry

Algebraic Geometry

Algebraic Geometry: Tropical, Convex, and Applied

MAA President Paul Zorn and Bernd Sturmfels, University of California, Berkeley.

Sturmfels presented the three-part Earle Raymond Hedrick Lecture Series at MAA MathFest 2012.

Photo credit: Mathematical Association of America

Video about Algebraic geometry

Algebraic geometry Meaning

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