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Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.

Stefan Bauer (1991)

Mathematische Annalen

Parabolic sheaves on higher dimensional varieties.

Usha Bhosle (1992)

Mathematische Annalen

Parity sheaves, moment graphs and the $p$ -smooth locus of Schubert varieties

Peter Fiebig, Geordie Williamson (2014)

Annales de l’institut Fourier

We show that the Braden-MacPherson algorithm computes the stalks of parity sheaves. As a consequence we deduce that the Braden-MacPherson algorithm may be used to calculate the characters of tilting modules for algebraic groups and show that the $p$ -smooth locus of a (Kac-Moody) Schubert variety coincides with the rationally smooth locus, if the underlying Bruhat graph satisfies a GKM-condition.

PGL (4) acts transitively on M (-1,2).

Ross Moore, Reiner Wardelmann (1984)

Journal für die reine und angewandte Mathematik

Pluriadjoint Bundles of Polarized Surfaces.

Antonio Lanteri (1990)

Monatshefte für Mathematik

Pluricanonical systems on minimal algebraic varieties.

Y. Kawamata (1985)

Inventiones mathematicae

Poincaré bundles for families of curves.

S. Ramanan, N. Mestrano (1985)

Journal für die reine und angewandte Mathematik

Poincaré bundles for projective surfaces

Nicole Mestrano (1985)

Annales de l'institut Fourier

Let $X$ be a smooth projective surface, $K$ the canonical divisor, $H$ a very ample divisor and $M_{H} (c_{1}, c_{2})$ the moduli space of rank-two vector bundles, $H$ -stable with Chern classes $c_{1}$ and $c_{2}$ . We prove that, if there exists $c_{1}^{'}$ such that $c_{1}$ is numerically equivalent to $2 c_{1}^{'}$ and if $c_{2} - \frac{1}{4} c_{1}^{2}$ is even, greater or equal to $H^{2} + H K + 4$ , then there is no Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ . Conversely, if there exists $c_{1}^{'}$ such that the number $c_{1}^{'} \cdot c_{1}$ is odd or if $\frac{1}{2} c_{1}^{2} - \frac{1}{2} c_{1} \cdot K - c_{2}$ is odd, then there exists a Poincaré bundle on $M_{H} (c_{1}, c_{2}) \times X$ .

Poincaré Polynomials of the Variety of Stable Bundles.

S. Ramanan, Desela V. Usha (1975)

Mathematische Annalen

Points non factoriels des variétés de modules de faisceaux semi-stables sur une surface rationnelle.

J.-M. Drezet (1991)

Journal für die reine und angewandte Mathematik

Poisson structures on moduli spaces of sheaves over Poisson surfaces.

Francesco Bottacin (1995)

Inventiones mathematicae

Positive Vector Bundles on Complex Surfaces.

Michael Schneider, A. Tancredi (1985)

Manuscripta mathematica

Positive-definite quadratic bundles over the plane.

M.-A. Knus, R. Parimala, M. Ojanguren (1982)

Commentarii mathematici Helvetici

Positivity properties of toric vector bundles

Milena Hering, Mircea Mustaţă, Sam Payne (2010)

Annales de l’institut Fourier

We show that a torus-equivariant vector bundle on a complete toric variety is nef or ample if and only if its restriction to every invariant curve is nef or ample, respectively. Furthermore, we show that nef toric vector bundles have a nonvanishing global section at every point and deduce that the underlying vector bundle is trivial if and only if its restriction to every invariant curve is trivial. We apply our methods and results to study, in particular, the vector bundles $ℳ_{L}$ that arise as the...

Currently displaying 1 – 20 of 29

Page 1 Next

Displaying 1 – 20 of 29

Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.

Parabolic sheaves on higher dimensional varieties.

Parity sheaves, moment graphs and the $p$ -smooth locus of Schubert varieties

PGL (4) acts transitively on M (-1,2).

Pluriadjoint Bundles of Polarized Surfaces.

Pluricanonical systems on minimal algebraic varieties.

Poincaré bundles for families of curves.

Poincaré bundles for projective surfaces

Poincaré Polynomials of the Variety of Stable Bundles.

Points non factoriels des variétés de modules de faisceaux semi-stables sur une surface rationnelle.

Poisson structures on moduli spaces of sheaves over Poisson surfaces.

Positive Vector Bundles on Complex Surfaces.

Positive-definite quadratic bundles over the plane.

Positivity properties of toric vector bundles

Postulation of Canonical Curves in IP3.

Principal bundles admitting a rational section.

Principal bundles on affine space and bundles on the projective line.

Principal bundles with parabolic structure.

Principal parts of line bundles on toric varieties

Principle bundles admitting a rational section (Erratum).

Currently displaying 1 – 20 of 29