Titlebook: Algebra, Arithmetic and Geometry with Applications; Papers from Shreeram Chris Christensen,Avinash Sathaye,Chandrajit Bajaj Book 2004 Sprin

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How Exceptional Is the Cuban Economy?, . Denote by . the residue field of . and by . (:= .(.{0}) the value semigroup of .. For each . ∈ ., set ..(..) := { . ∈ .|.(. ≥ (>) .}). .. and .. are ideals of . and we call the graded algebra of . relative to . to the .-graded .-algebra

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https://doi.org/10.1007/978-1-349-24199-6responding to the conductor. We study the relations between the postulation of . and the geometry of . We show that the Hilbert function of . is of decreasing type and enjoys the Cayley-Bacharach property and we characterize some classes of curves in terms of . and of its pull-back to .

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More Onerous Work Deserves Higher Payeld of a central division algebra . over . In [1] it was shown that ..(11) is . admissible. As is mentioned there, . was able to simplify their argument and also show that if . is an algebraic number field in which the prime (2) has at least two extensions then . is ..(11)-admissible.

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Bad Followers Create Bad Leadersn the 20th and 26th, of July, 2000; close to one hundred mathematicians participated, and over sixty of them presented their work. This volume contains papers from several of the participants, and some others who could not make it to the conference. The conference was supported by contributions from

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Kerstin von Lingen,Robert Cribbbes, up to analytical equivalence, all such . whose jacobian ideal has length equal to .-1 or .−2. The case of length c was previously considered by O. Zariski [10], the further cases are recent work of Valmecir Bayer and Abramo Hefez [3]. This article also deals with counterexamples to a conjecture

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Oaths of Allegiance in the Singapore Trials, not zero, is still open in general. All examples suggest the conjecture that this torsion genuinely decreases when going from . to the first quadratic transform .., which would imply that Τ was nontrivial in the first place. We give a general formula for the difference . of the lengths of these tor