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Enumerative geometry information


In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by means of intersection theory.

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Enumerative geometry

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In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by...

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Hieronymus Georg Zeuthen

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January 1920) was a Danish mathematician. He is known for work on the enumerative geometry of conic sections, algebraic surfaces, and history of mathematics...

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String theory

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problems in enumerative geometry, a branch of mathematics concerned with counting the numbers of solutions to geometric questions. Enumerative geometry studies...

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Schubert calculus

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problems of projective geometry and, as such, is viewed as part of enumerative geometry. Giving it a more rigorous foundation was the aim of Hilbert's 15th...

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Outline of geometry

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Distance geometry Elliptic geometry Enumerative geometry Epipolar geometry Finite geometry Fractal geometry Geometry of numbers Hyperbolic geometry Incidence...

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Georges Henri Halphen

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for his work in geometry, particularly in enumerative geometry and the singularity theory of algebraic curves, in algebraic geometry. He also worked on...

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Projective geometry

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projective geometry became less fashionable, although the literature is voluminous. Some important work was done in enumerative geometry in particular...

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Complex geometry

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advances in enumerative geometry of complex varieties. The Hodge conjecture, one of the millennium prize problems, is a problem in complex geometry. Broadly...

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Real algebraic geometry

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ISBN 978-3-7643-8309-1. Zbl 1162.14300. Mikhalkin, Grigory (2005). "Enumerative tropical algebraic geometry in R 2 {\displaystyle \mathbb {R} ^{2}} ". Journal of the...

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Hermann Schubert

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Schubert was one of the leading developers of enumerative geometry, which considers those parts of algebraic geometry that involve a finite number of solutions...

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Ravi Vakil

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and his research work spans over enumerative geometry, topology, Gromov–Witten theory, and classical algebraic geometry. He has solved several old problems...

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Combinatorics

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combinatorial topics may be enumerative in nature or involve matroids, polytopes, partially ordered sets, or finite geometries. On the algebraic side, besides...

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Bagar region

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service is required /0/geometries: The property geometries is required /0/type: Does not have a value in the enumeration ["GeometryCollection"] /0/type:...

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Introduction to Tropical Geometry

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Itenberg et al., some topics in tropical geometry are (deliberately) omitted, including enumerative geometry and mirror symmetry. The book has six chapters...

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Kefeng Liu

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collaboration with Bong Lian and Shing-Tung Yau in which they establish some enumerative geometry conjectures motivated by mirror symmetry. Liu was born in Kaifeng...

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Geometry

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Marcos Marino; Michael Thaddeus; Ravi Vakil (2008). Enumerative Invariants in Algebraic Geometry and String Theory: Lectures given at the C.I.M.E. Summer...

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Tropical geometry

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definitions of the theory. This was motivated by its application to enumerative algebraic geometry, with ideas from Maxim Kontsevich and works by Grigory Mikhalkin...

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Lucia Caporaso

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Her research includes work in algebraic geometry, arithmetic geometry, tropical geometry and enumerative geometry. Caporaso earned a laurea from Sapienza...

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Enumeration

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(perhaps arbitrary) ordering. In some contexts, such as enumerative combinatorics, the term enumeration is used more in the sense of counting – with emphasis...

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Topological recursion

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definition of invariants of spectral curves. It has applications in enumerative geometry, random matrix theory, mathematical physics, string theory, knot...

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Five points determine a conic

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enumerative geometry; formalizing this intuition requires significant further development to justify. Another classic problem in enumerative geometry...

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Clay Research Award

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spaces" 2013 Rahul Pandharipande "For his recent outstanding work in enumerative geometry, specifically for his proof in a large class of cases of the MNOP...

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Sheldon Katz

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2006). "Review: Enumerative Geometry and String Theory by Sheldon Katz". Mathematical Association of America. "Review: Enumerative Geometry and String Theory"...

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Susan Jane Colley

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American Mathematical Monthly. Her mathematical research specialty is enumerative geometry. Colley went to the Massachusetts Institute of Technology (MIT) as...

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Steven Kleiman

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intersection theory and enumerative geometry. A 2002 study of 891 academic collaborations in enumerative geometry and intersection theory covered by Mathematical...

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1991 in science

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colleagues show that mirror symmetry could be used to solve problems in enumerative geometry. Qiudong Wang produces a global solution to the n-body problem. January...

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