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157
A quasicoherent sheaf . . .
, 2010
"... These are a bunch of notes taken to help myself learn algebraic geometry. My main sources are Harsthorne, FAC, and EGA. The organization is very much like EGA 0, since that’s kind of where I started. The notes ..."
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These are a bunch of notes taken to help myself learn algebraic geometry. My main sources are Harsthorne, FAC, and EGA. The organization is very much like EGA 0, since that’s kind of where I started. The notes
SUBSHEAVES OF A HERMITIAN TORSION FREE COHERENT SHEAF ON AN ARITHMETIC VARIETY
, 2006
"... Let K be a number field and OK the ring of integers of K. Let (E, h) be a hermitian finitely generated flat OKmodule. For an OKsubmodule F of E, let us denote by hF֒→E the submetric of F induced by h. It is well known that the set of all saturated OKsubmodules F with ̂ deg(F, hF֒→E) ≥ c is finit ..."
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Cited by 2 (0 self)
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Let K be a number field and OK the ring of integers of K. Let (E, h) be a hermitian finitely generated flat OKmodule. For an OKsubmodule F of E, let us denote by hF֒→E the submetric of F induced by h. It is well known that the set of all saturated OKsubmodules F with ̂ deg(F, hF֒→E) ≥ c is finite for any real
SHEAF REPRESENTATION OF NORMED SPACES
"... Abstract. A multisorted limtheory, which has as Setvalued models all normed spaces over some specified fields, is introduced. We show that coherent extensions of this limtheory are expressive enough to characterise, for example, the Lpspaces. The sheafvalued spectra, corresponding to the cohe ..."
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Abstract. A multisorted limtheory, which has as Setvalued models all normed spaces over some specified fields, is introduced. We show that coherent extensions of this limtheory are expressive enough to characterise, for example, the Lpspaces. The sheafvalued spectra, corresponding
Sheaf cohomology and free resolutions over the exterior algebras
, 2003
"... We derive an explicit version of the BernsteinGel’fandGel’fand (BGG) correspondence between bounded complexes of coherent sheaves on projective space and minimal doubly infinite free resolutions over its “Koszul dual ” exterior algebra. Among the facts about the BGG correspondence that we derive ..."
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Cited by 75 (20 self)
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We derive an explicit version of the BernsteinGel’fandGel’fand (BGG) correspondence between bounded complexes of coherent sheaves on projective space and minimal doubly infinite free resolutions over its “Koszul dual ” exterior algebra. Among the facts about the BGG correspondence that we
Daffinity and Frobenius morphism on quadrics
 ID rnm 145, 26 pp. THE DAFFINITY OF FLAG VARIETIES IN POSITIVE CHARACTERISTIC 9
"... Let X be a smooth projective variety. A coherent sheaf E ∈ CohX is called quasiexceptional if ..."
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Cited by 4 (0 self)
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Let X be a smooth projective variety. A coherent sheaf E ∈ CohX is called quasiexceptional if
ON THE MODULI SPACE OF THE SCHWARZENBERGER BUNDLES
, 2002
"... For any odd n, we prove that the coherent sheaf FA on, defined as the cokernel of an injective map f: O⊕2 ..."
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Cited by 3 (1 self)
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For any odd n, we prove that the coherent sheaf FA on, defined as the cokernel of an injective map f: O⊕2
Cohomology of Coherent Sheaves and Series of Supernatural Bundles
, 2009
"... We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves. ..."
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Cited by 3 (2 self)
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We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.
A KLEIMAN–BERTINI THEOREM FOR SHEAF TENSOR PRODUCTS
"... Abstract. Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X. We prove that for elements g in a dense open subset of G, the sheaf Tor X i (E, gF) vanishes for all i> 0. When E and F are structure sheaves of smooth subschemes of X in chara ..."
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Cited by 10 (2 self)
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Abstract. Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X. We prove that for elements g in a dense open subset of G, the sheaf Tor X i (E, gF) vanishes for all i> 0. When E and F are structure sheaves of smooth subschemes of X
A KLEIMAN–BERITINI THEOREM FOR SHEAF TENSOR PRODUCTS
, 2006
"... Abstract. Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X. We prove that for elements g in a dense open subset of G, the sheaf Tor X i (E, gF) vanishes for all i> 0. When E and F are structure sheaves of smooth subschemes of X in chara ..."
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Abstract. Fix a variety X with a transitive (left) action by an algebraic group G. Let E and F be coherent sheaves on X. We prove that for elements g in a dense open subset of G, the sheaf Tor X i (E, gF) vanishes for all i> 0. When E and F are structure sheaves of smooth subschemes of X
(Bi)CohenMacaulay simplicial complexes and their associated coherent sheaves
 COMMUNICATIONS IN ALGEBRA, 33 (2005) NO.9
, 2005
"... Via the BGG correspondence a simplicial complex ∆ on [n] is transformed into a complex of coherent sheaves on P n−1. We show that this complex reduces to a coherent sheafF exactly when the Alexander dual ∆ ∗ is CohenMacaulay. We then determine when both ∆ and ∆ ∗ are CohenMacaulay. This corre ..."
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Cited by 5 (2 self)
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Via the BGG correspondence a simplicial complex ∆ on [n] is transformed into a complex of coherent sheaves on P n−1. We show that this complex reduces to a coherent sheafF exactly when the Alexander dual ∆ ∗ is CohenMacaulay. We then determine when both ∆ and ∆ ∗ are Cohen
Results 1  10
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157