portada Associative Algebraic Geometry (en Inglés)

Associative Algebraic Geometry (en Inglés)

Formato

Libro Físico

Autor

Arvid Siqveland

Editorial

World Scientific Publishing Europe Ltd

Idioma

Inglés

N° páginas

420

Encuadernación

Tapa Dura

Dimensiones

22.9x15.2x2.4 cm

Peso

0.73 kg.

ISBN13

9781800613546

Categorías

Álgebra
Geometría algebraica

Associative Algebraic Geometry (en Inglés)

Arvid Siqveland (Autor) · World Scientific Publishing Europe Ltd · Tapa Dura

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Reseña del libro "Associative Algebraic Geometry (en Inglés)"

Classical Deformation Theory is used for determining the completions of local rings of an eventual moduli space. When a moduli variety exists, the main result explored in the book is that the local ring in a closed point can be explicitly computed as an algebraization of the pro-representing hull, called the local formal moduli, of the deformation functor for the corresponding closed point.The book gives explicit computational methods and includes the most necessary prerequisites for understanding associative algebraic geometry. It focuses on the meaning and the place of deformation theory, resulting in a complete theory applicable to moduli theory. It answers the question 'why moduli theory', and gives examples in mathematical physics by looking at the universe as a moduli of molecules, thereby giving a meaning to most noncommutative theories.The book contains the first explicit definition of a noncommutative scheme, not necessarily covered by commutative rings. This definition does not contradict any previous abstract definitions of noncommutative algebraic geometry, but sheds interesting light on other theories, which is left for further investigation.