Complexity of degenerations of modules |
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| Authors: | R Aehle Ch Riedtmann and G Zwara |
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| Institution: | (1) Mathematisches Institut, Universit?t Bern, Sidlerstrasse 5, 3012 Bern, Switzerland,? e-mail: robert.aehle@math-stat.unibe.ch , CH;(2) Mathematisches Institut, Universit?t Bern, Sidlerstrasse 5, 3012 Bern, Switzerland,? e-mail: christine.riedtmann@math-stat.unibe.ch , CH;(3) Faculty of Mathematics and Informatics, Nicholas Copernicus University,? Chopina 12/18, 87-100 Toruń, Poland, e-mail: gzwara@mat.uni.torun.pl , PL |
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| Abstract: | A module M over an associative algebra A over an algebraically closed field k is said to degenerate to a module N if N belongs to the closure of the isomorphism class of M in the algebraic variety of d-dimensional A-modules, . We associate a non-negative integer to a degeneration , its complexity, and study its properties.
Received: January 30, 2001 |
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| Keywords: | , Algebras, modules, degenerations of modules, |
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