Endomorphism algebras of complex tori.
Frans Oort, Yuri Zarhin (1995)
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Displaying similar documents to “Twists of Central Simple Algebras and Endomorphism Algebras of Some Abelian Varieties.”
Endomorphism algebras of complex tori.
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The main aim of this note is to prove that if k is an algebraically closed field and a k-algebra A₀ is a CB-degeneration of a finite-dimensional k-algebra A₁, then there exists a factor algebra Ā₀ of A₀ of the same dimension as A₁ such that Ā₀ is a CB-degeneration of A₁. As a consequence, Ā₀ is a rigid degeneration of A₁, provided A₀ is basic.
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