On Lower Transcendence Degree
نویسندگان
چکیده
منابع مشابه
Homological transcendence degree
Let D be a division algebra over a base field k. The homological transcendence degree of D, denoted by HtrD, is defined to be the injective dimension of the algebra D⊗k D ◦. We show that Htr has several useful properties which the classical transcendence degree has. We extend some results of Resco, Rosenberg, Schofield and Stafford, and compute Htr for several classes of division algebras. The ...
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For a smooth complex projective variety X defined over a number field, we have filtrations on the Chow groups depending of the choice of realizations. If the realization consists of mixed Hodge structure without any additional structure, we can show that the obtained filtration coincides with the filtration of Green and Griffiths, assuming the Hodge conjecture. In the case the realizations cont...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1998
ISSN: 0001-8708
DOI: 10.1006/aima.1998.1749