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Now showing items 1-10 of 25

#### Geometric view of measurement errors

(Taylor and Francis, 2011)

The slope of the best fit line from minimizing the sum of the squared oblique errors is the root of a
polynomial of degree four. This geometric view of measurement errors is used to give insight into the
performance of ...

#### 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 ...

#### 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.

#### Einstein-Hermitian connection on twisted Higgs bundles (Pre-published Version)

(Elsevier Masson, 2010)

Let X be a smooth projective variety over C. We prove that a twisted Higgs vector bundle (E , θ) on X admits an Einstein–Hermitian connection if and only if (E , θ) is polystable. A similar result for twisted vector bundles ...

#### 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.

#### 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 ...

#### Mitigating collinearity in linear regression models using ridge, surrogate and raised estimators

(Cogent OA, 2016)

Collinearity in the design matrix is a frequent problem in linear regression models, for example, with economic or medical data. Previous standard procedures to mitigate the effects of collinearity included ridge regression ...

#### Analytic moduli spaces of simple sheaves on families of integral curves (Pre-print version)

(Wiley, 2013)

We prove the existence of fine moduli spaces of simple coherent sheaves on families of irreducible curves. Our proof is based on the existence of a universal upper bound of the Castelnuovo–Mumford regularity of such sheaves, ...

#### 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.

#### 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 ...