FACULTY OF ARTS: Recent submissions
Now showing items 641-660 of 1002
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The moduli stack of vector bundles on a curve (Pre-published Version)
(Ramanujan Mathematical Society, 2010)This expository text tries to explain brie y and not too technically the notions of stack and algebraic stack, emphasizing as an example the moduli stack of vector bundles on an algebraic curve. -
Trace forms of symbol algebras (Pre-published version)
(World Scientific Publishing Complany, 2012)Let S be a symbol algebra. The trace form of S is computed and it is shown how this form can be used to determine whether S is a division algebra or not. In addition, the exterior powers of the trace form of S are computed. -
SU(5) heterotic standard model bundles (Pre-published version)
(Springer Verlag, 2012)We construct a class of stable SU(5) bundles on an elliptically fibered Calabi-Yau threefold with two sections, a variant of the ordinary Weierstrass fibration, which admits a free involution. The bundles are invariant under ... -
The Boden-Hu conjecture holds precisely up to rank eight (Pre-published version)
(Springer Verlag, 2004) -
Poincaré families of G-bundles on a curve (Pre-published version)
(Springer Verlag, 2012)Let G be a reductive group over an algebraically closed field k. Consider the moduli space of stable principal G-bundles on a smooth projective curve C over k. We give necessary and sufficient conditions for the existence of ... -
New examples of stable bundles on Calabi-Yau threefolds (Pre-published Version)
(Oxford University Press, 2012)In this paper we present a construction of stable bundles on Calabi-Yau threefolds using the method of bundle extensions. This construction applies to any given Calabi-Yau threefold with h1 , 1 > 1. We give examples ... -
Independent parameters for special instanton bundles on P^{2n+1} (Pre-published Version)
(Elsevier, 2011)Motivated by Yang-Mills theory in 4n dimensions, and generalizing the notion due to Atiyah, Drinfeld, Hitchin and Manin for n = 1, Okonek, Spindler and Trautmann introduced instanton bundles and special instanton bundles ... -
Rationality and Poincaré families for vector bundles with extra structure on a curve (Pre-published version)
(Oxford University Press, 2007)Iterated Grassmannian bundles over moduli stacks of vector bundles on a curve are shown to be birational to an affine space times a moduli stack of degree 0 vector bundles, following the method of King and Schofield. ... -
The Picard group of a coarse moduli space of vector bundles in positive characteristic (Pre-published version)
(Versita, co-published with Springer Verlag., 2012)Let C be a smooth projective curve over an algebraically closed field of arbitrary characteristic. Let Mss r,L denote the projective coarse moduli scheme of semistable rank r vector bundles over C with fixed determinant ... -
The Brauer group of moduli spaces of vector bundles over a real curve
(American Mathematical Society (AMS), 2011)Let X be a geometrically connected smooth projective curve of genus gX ≥ 2 over R. Let M(r, ξ) be the coarse moduli space of geometrically stable vector bundles E over X of rank r and determinant ξ, where ξ is a real point ... -
Stability of Arakelov bundles and tensor products without global sections
(Documenta Mathematica, 2003)This paper deals with Arakelov vector bundles over an arithmetic curve, i.e. over the set of places of a number field. The main result is that for each semistable bundle E, there is a bundle F such that E⊗F has at least ... -
The line on moduli stacks of principal bundles on a curve
(Documenta Mathematica, 2010)Let G be an affine reductive algebraic group over an algebraically closed field k. We determine the Picard group of the moduli stacks of principal G–bundles on any smooth projective curve over k. -
Versions and Palimpsests: Rebecca West’s The Sentinel, Adela, and The Judge
(University of Delaware Press, Associated University Presses, 2006) -
Introduction: The Sentinel, An Incomplete Early Novel by Rebecca West
(Legenda, European Humanities Research Centre University of Oxford., 2002) -
Aor Phiarais Mhic Gearailt ar Sheán Paor
(Leabhair na Linne, 2009) -
Litir ó Risteard Ó Muirriain chun Phiarais Mhic Gearailt
(Leabhair na Linne, 2011) -
Moniuszko and musical nationalism in Poland
(Cork University Press, 2001) -
Introduction: musical constructions of nationalism
(Cork University Press, 2001) -
Filíocht Sheacaibíteach Phiarais Mhic Gearailt
(Eighteenth-Century Ireland Society, 2007) -
The musical press in nineteenth-century Ireland
(Four Courts Press, 2007)