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REMARKS ON THE STACK OF COHERENT ALGEBRAS
, 2006
"... Abstract. We consider the stack of coherent algebras with proper support, a moduli problem generalizing Alexeev and Knutson’s stack of branchvarieties to the case of an Artin stack. The main results are proofs of the existence of Quot and Hom spaces in greater generality than is currently known and ..."
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Cited by 24 (6 self)
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Abstract. We consider the stack of coherent algebras with proper support, a moduli problem generalizing Alexeev and Knutson’s stack of branchvarieties to the case of an Artin stack. The main results are proofs of the existence of Quot and Hom spaces in greater generality than is currently known
Noncommutative proj and coherent algebras
 Math. Res. Lett
"... Abstract. We prove that an abelian category equipped with an ample sequence of objects is equivalent to the quotient of the category of coherent modules over the corresponding algebra by the subcategory of finitedimensional modules. In the Noetherian case a similar result was proved by Artin and Zh ..."
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Cited by 11 (0 self)
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Abstract. We prove that an abelian category equipped with an ample sequence of objects is equivalent to the quotient of the category of coherent modules over the corresponding algebra by the subcategory of finitedimensional modules. In the Noetherian case a similar result was proved by Artin
COHERENT ALGEBRAS AND NONCOMMUTATIVE PROJECTIVE LINES
, 2007
"... Abstract. A wellknown conjecture says that every onerelator group is coherent. We state and partly prove a similar statement for graded associative algebras. In particular, we show that every Gorenstein algebra A of global dimension 2 is graded coherent. This allows us to define a noncommutative a ..."
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Cited by 13 (1 self)
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Abstract. A wellknown conjecture says that every onerelator group is coherent. We state and partly prove a similar statement for graded associative algebras. In particular, we show that every Gorenstein algebra A of global dimension 2 is graded coherent. This allows us to define a noncommutative
The homogeneous coordinate ring of a toric variety
, 1992
"... This paper will introduce the homogeneous coordinate ring S of a toric variety X. The ring S is a polynomial ring with one variable for each onedimensional cone in the fan ∆ determining X, and S has a natural grading determined by the monoid of effective divisor classes in the Chow group An−1(X) of ..."
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Cited by 472 (7 self)
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) of X (where n = dim X). Using this graded ring, we will show that X behaves like projective space in many ways. The paper is organized into four sections as follows. In §1, we define the homogeneous coordinate ring S of X and compute its graded pieces in terms of global sections of certain coherent
ONE APPROACH TO A COHERENT ALGEBRA: OR, IT TAKES 12 YEARS TO LEARN CALCULUS 1
"... EHR0353470. Any conclusions or recommendations stated here are those of the authors and do not necessarily reflect official positions of NSF. In this presentation I develop an argument that we should think more broadly about the school mathematics curriculum, that we should cease worrying about wha ..."
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what algebra is and instead drop the mantra “Algebra for all ” in favor of the mantra, “Calculus for all. ” Of course, all mantras suffer the weakness that, by definition, repeating them soothes the mind without having to think deeply about what they mean. Nevertheless, “Algebra for all ” has a
SEMIORTHOGONAL DECOMPOSITIONS FOR ALGEBRAIC VARIETIES
, 1995
"... A criterion for a functor between derived categories of coherent sheaves to be full and faithful is given. A semiorthogonal decomposition for the derived category of coherent sheaves on the intersection of two even dimensional quadrics is obtained. The behaviour of derived categories with respect to ..."
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Cited by 180 (11 self)
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A criterion for a functor between derived categories of coherent sheaves to be full and faithful is given. A semiorthogonal decomposition for the derived category of coherent sheaves on the intersection of two even dimensional quadrics is obtained. The behaviour of derived categories with respect
Coherent
"... states for polynomial su(1,1) algebra and a conditionally solvable system ..."
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states for polynomial su(1,1) algebra and a conditionally solvable system
Semantic foundations of concurrent constraint programming
, 1990
"... Concurrent constraint programming [Sar89,SR90] is a simple and powerful model of concurrent computation based on the notions of storeasconstraint and process as information transducer. The storeasvaluation conception of von Neumann computing is replaced by the notion that the store is a constr ..."
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Cited by 276 (27 self)
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(augment the store with a new constraint). This is a very general paradigm which subsumes (among others) nondeterminate dataflow and the (concurrent) (constraint) logic programming languages. This paper develops the basic ideas involved in giving a coherent semantic account of these languages. Our first
Results 1  10
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73,856