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Canonical models of Shimura curves
, 2003
"... As an introduction to Shimura varieties, and, in particular, to Deligne’s Bourbaki and Corvallis talks (Deligne 1971, 1979), I explain the main ideas and results of the general theory of Shimura varieties in the context of Shimura curves. These notes had their origin in a twohour lecture I gave on ..."
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Cited by 2 (0 self)
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As an introduction to Shimura varieties, and, in particular, to Deligne’s Bourbaki and Corvallis talks (Deligne 1971, 1979), I explain the main ideas and results of the general theory of Shimura varieties in the context of Shimura curves. These notes had their origin in a twohour lecture I gave on September 10, 2002. They are available at www.jmilne.org/math/. Please send corrections and comments to me at
CHAPTER 13 CANONICAL MODELLING
"... An approach for intermediatelevel simulation of carbon allocation in functionalstructural plant models ..."
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An approach for intermediatelevel simulation of carbon allocation in functionalstructural plant models
Integral Canonical Models for Shimura Varieties of Preabelian Type
, 2003
"... We prove the existence of integral canonical models of Shimura varieties of preabelian type with respect to primes of characteristic at least 5. ..."
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Cited by 38 (21 self)
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We prove the existence of integral canonical models of Shimura varieties of preabelian type with respect to primes of characteristic at least 5.
Suitability of Data Models as Canonical Models for Federated Databases
 SIGMOD Record
, 1991
"... We develop a framework of characteristics, essential and recommended, that a data model should have to be suitable as canonical model for federated databases. This framework is based on the two factors of the representation ability of a model: expressiveness and semantic relativism. Several data m ..."
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Cited by 70 (9 self)
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We develop a framework of characteristics, essential and recommended, that a data model should have to be suitable as canonical model for federated databases. This framework is based on the two factors of the representation ability of a model: expressiveness and semantic relativism. Several data
The Canonical Model of a Singular Curve
, 2008
"... We give refined statements and modern proofs of Rosenlicht’s results about the canonical model C′ of an arbitrary complete integral curve C. Notably, we prove that C and C′ are birationally equivalent if and only if C is nonhyperelliptic, and that, if C is nonhyperelliptic, then C′ is equal to the b ..."
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We give refined statements and modern proofs of Rosenlicht’s results about the canonical model C′ of an arbitrary complete integral curve C. Notably, we prove that C and C′ are birationally equivalent if and only if C is nonhyperelliptic, and that, if C is nonhyperelliptic, then C′ is equal
A Canonical Model of the Region Connection Calculus
 Principles of Knowledge Representation and Reasoning: Proceedings of the 6th International Conference (KR98
, 1997
"... Canonical models are very useful for determining simple representation formalism for qualitative relations. Allen's interval relations, e.g., can thereby be represented using the start and the end point of the intervals. Such a simple representation was not possible for regions of higher dim ..."
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Cited by 51 (5 self)
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Canonical models are very useful for determining simple representation formalism for qualitative relations. Allen's interval relations, e.g., can thereby be represented using the start and the end point of the intervals. Such a simple representation was not possible for regions of higher
STABILITY OF TAILS AND 4CANONICAL MODELS
, 806
"... Abstract. We show that the GIT quotients of suitable loci in the Hilbert and Chow schemes of 4canonically embedded curves of genus g ≥ 3 are the moduli space M ps g of pseudostable curves constructed by Schubert in [9] using Chow varieties and 3canonical models. The only new ingredient needed in t ..."
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Cited by 8 (1 self)
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Abstract. We show that the GIT quotients of suitable loci in the Hilbert and Chow schemes of 4canonically embedded curves of genus g ≥ 3 are the moduli space M ps g of pseudostable curves constructed by Schubert in [9] using Chow varieties and 3canonical models. The only new ingredient needed
Results 1  10
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6,445