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showed that the Bass conjecture holds for all (regular, depending on the version of the conjecture) rings or schemes of dimension ≤ 1, i.e.,
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288:-theory, algebraic cycles and arithmetic geometry", in Friedlander, Eric; Grayson, Daniel (eds.),
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Any of the following equivalent statements is referred to as the Bass conjecture.
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are supposed to be finitely generated. The conjecture was proposed by
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The equivalence of these statements follows from the agreement of
203:-theory for regular rings and the localization sequence for
348:, World Sci. Publ., River Edge, NJ, pp. 1–119,
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128:-theory of finitely generated locally free
266:Beilinson–SoulĂ© vanishing conjecture
264:The Bass conjecture is known to imply the
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276:
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88:-modules, also known as G-theory of
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284:Kahn, Bruno (2005), "Algebraic
245:/x has an infinitely generated
290:Handbook of Algebraic K-theory
84:-theory of finitely generated
1:
381:Unsolved problems in geometry
99:For any finitely generated
44:Statement of the conjecture
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124:) are finitely generated (
342:An overview of algebraic
226:and the spectrum of the
191:) is finitely generated.
167:) is finitely generated.
312:10.1007/3-540-27855-9_9
237:The (non-regular) ring
170:For any regular scheme
334:Friedlander, Eric M.
296:, pp. 351–428,
292:, Berlin, New York:
174:of finite type over
376:Algebraic K-theory
371:Algebraic geometry
338:Weibel, Charles W.
78:finitely generated
54:finitely generated
28:says that certain
22:algebraic geometry
321:978-3-540-23019-9
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260:Implications
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211:Known cases
144:finite type
18:mathematics
365:Categories
272:References
132:-modules).
92:) for all
38:Hyman Bass
30:algebraic
298:CiteSeerX
207:-theory.
103:-algebra
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340:(1999),
135:For any
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