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83
Generalised Sheaf Cohomology Theories
, 2003
"... This paper is an expanded version of notes for a set of lectures given at the Isaac Newton Institute for Mathematical Sciences during a NATO ASI Workshop entitled "Homotopy Theory of Geometric Categories" on September 23 and 24, 2002. This workshop was part of a program entitled New Contex ..."
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Cited by 1 (0 self)
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Contexts in Stable Homotopy Theory that was held at the Institute during the fall of 2002
FALTINGS MODULAR HEIGHT AND SELFINTERSECTION OF DUALIZING SHEAF
, 1994
"... Let K be a number field, OK the ring of integers of K and X a stable curve over OK of genus g ≥ 2. In this note, we will prove a strict inequality (ĉ1(ω X/S, Φcan) 2) ..."
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Cited by 2 (2 self)
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Let K be a number field, OK the ring of integers of K and X a stable curve over OK of genus g ≥ 2. In this note, we will prove a strict inequality (ĉ1(ω X/S, Φcan) 2)
A SheafTheoretic View Of Loop Spaces
 Theory Appl. Categ
, 2001
"... The context of enriched sheaf theory introduced in the author's thesis provides a convenient viewpoint for models of the stable homotopy category as well as categories of finite loop spaces. Also, the languages of algebraic geometry and algebraic topology have been interacting quite heavily ..."
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The context of enriched sheaf theory introduced in the author's thesis provides a convenient viewpoint for models of the stable homotopy category as well as categories of finite loop spaces. Also, the languages of algebraic geometry and algebraic topology have been interacting quite heavily
Vector bundle extensions, sheaf cohomology, and the heterotic standard model
, 2005
"... Stable, holomorphic vector bundles are constructed on an torus fibered, nonsimply connected CalabiYau threefold using the method of bundle extensions. Since the manifold is multiply connected, we work with equivariant bundles on the elliptically fibered covering space. The cohomology groups of the ..."
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Cited by 33 (21 self)
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Stable, holomorphic vector bundles are constructed on an torus fibered, nonsimply connected CalabiYau threefold using the method of bundle extensions. Since the manifold is multiply connected, we work with equivariant bundles on the elliptically fibered covering space. The cohomology groups
SelfIntersection of the relative Dualizing Sheaf of Modular Curves X1(N
, 2012
"... Let N be an odd and squarefree positive integer divisible by at least two relative prime integers bigger or equal than 4. Our main theorem is an asymptotic formula solely in terms of N for the stable arithmetic selfintersection number of the relative dualizing sheaf for modular curves X1(N)/Q. From ..."
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Let N be an odd and squarefree positive integer divisible by at least two relative prime integers bigger or equal than 4. Our main theorem is an asymptotic formula solely in terms of N for the stable arithmetic selfintersection number of the relative dualizing sheaf for modular curves X1(N
Derived McKay correspondence via puresheaf transforms
, 2008
"... In most cases where it had been shown to exist the derived McKay correspondence D(Y) ∼ − → D G (C n) can be written as a FourierMukai transform which sends point sheaves of the crepant resolution Y to pure sheaves in D G (C n). We give a sufficient (and necessary) condition for an object of D G (Y ..."
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θstable families of Gconstellations and their direct transforms. 1
DOMINANCE OF A RATIONAL MAP TO THE COBLE QUARTIC
, 712
"... Abstract. We show the dominance of the restriction map from a moduli space of stable sheaves on the projective plane to the Coble sixfold quartic. With the dominance and the interpretation of a stable sheaf on the plane in terms of hyperplane arrangements, we expect these tools to reveal the geometr ..."
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Abstract. We show the dominance of the restriction map from a moduli space of stable sheaves on the projective plane to the Coble sixfold quartic. With the dominance and the interpretation of a stable sheaf on the plane in terms of hyperplane arrangements, we expect these tools to reveal
The moduli space of stable quotients
"... Dedicated to William Fulton on the occasion of his 70th birthday Abstract. A moduli space of stable quotients of the rank n trivial sheaf on stable curves is introduced. Over nonsingular curves, the moduli space is Grothendieck’s Quot scheme. Over nodal curves, a relative construction is made to kee ..."
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Cited by 29 (3 self)
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Dedicated to William Fulton on the occasion of his 70th birthday Abstract. A moduli space of stable quotients of the rank n trivial sheaf on stable curves is introduced. Over nonsingular curves, the moduli space is Grothendieck’s Quot scheme. Over nodal curves, a relative construction is made
HIGHER RANK STABLE PAIRS ON K3 SURFACES
"... Abstract. We define and compute higher rank analogs of PandharipandeThomas stable pair invariants in primitive classes for K3 surfaces. Higher rank stable pair invariants for CalabiYau threefolds have been defined by Sheshmani [She11b, She11a] using moduli of pairs of the form On → F for F purely ..."
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onedimensional and computed via wallcrossing techniques. These invariants may be thought of as virtually counting embedded curves decorated with a (n − 1)dimensional linear system. We treat invariants counting pairs On → E on a K 3 surface for E an arbitrary stable sheaf of a fixed numerical type
A.: Master spaces for stable pairs
 Topology
, 1998
"... In this paper we construct master spaces for certain coupled vector bundle problems over a fixed projective variety X. From a technical point of view, master spaces classify oriented pairs (E, ε, ϕ) consisting of a torsion free coherent sheaf E with fixed Hilbert polynomial, an ..."
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Cited by 9 (2 self)
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In this paper we construct master spaces for certain coupled vector bundle problems over a fixed projective variety X. From a technical point of view, master spaces classify oriented pairs (E, ε, ϕ) consisting of a torsion free coherent sheaf E with fixed Hilbert polynomial, an
Results 1  10
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