International Mathematics Research Notices, ISSN 1073-7928, 11/2017, Volume 2017, Issue 21, pp. 6523 - 6583

Weinvestigate the moduli space of instanton bundles over the quintic del Pezzo threefold for small values of their charge. We prove a new bound for their...

MATHEMATICS | MODULI | VECTOR-BUNDLES

MATHEMATICS | MODULI | VECTOR-BUNDLES

Journal Article

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ISSN 1073-7928, 05/2017, Volume 2017, Issue 9, pp. 2599 - 2613

Let X be a smooth, projective curve of genus g >= 2 over an algebraically closed field of characteristic p > 0. I provide a conjectural formula for the degree...

MATHEMATICS | VECTOR-BUNDLES

MATHEMATICS | VECTOR-BUNDLES

Journal Article

2017, Cambridge tracts in mathematics, ISBN 9781107174177, Volume 208, xvii, 328 pages

Questions about modular representation theory of finite groups can often be reduced to elementary abelian subgroups. This is the first book to offer a detailed...

Abelian groups | Vector bundles | Abelian p-groups

Abelian groups | Vector bundles | Abelian p-groups

Book

Mathematische Zeitschrift, ISSN 0025-5874, 8/2016, Volume 283, Issue 3, pp. 1033 - 1047

Starting from the description of Segre forms as direct images of (powers of) the first Chern form of the (anti) tautological line bundle on the projectivized...

Projectivized vector bundle | Serge form | Secondary 53C56 | Mathematics, general | Mathematics | Kobayashi–Lübke inequality | Primary 53C07 | Hermite–Einstein vector bundle | MATHEMATICS | Kobayashi-Lubke inequality | Hermite-Einstein vector bundle | VECTOR-BUNDLES | Equality

Projectivized vector bundle | Serge form | Secondary 53C56 | Mathematics, general | Mathematics | Kobayashi–Lübke inequality | Primary 53C07 | Hermite–Einstein vector bundle | MATHEMATICS | Kobayashi-Lubke inequality | Hermite-Einstein vector bundle | VECTOR-BUNDLES | Equality

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 06/2018, Volume 128, pp. 87 - 98

Let M(2,w̲,χ) be the moduli space of rank 2 torsion-free sheaves of fixed determinant and odd Euler characteristic over a reducible nodal curve with each...

Vector bundles | Rationality | Moduli space | MATHEMATICS | PHYSICS, MATHEMATICAL | VECTOR-BUNDLES

Vector bundles | Rationality | Moduli space | MATHEMATICS | PHYSICS, MATHEMATICAL | VECTOR-BUNDLES

Journal Article

Annali dell'Universita di Ferrara, ISSN 0430-3202, 05/2017, Volume 63, Issue 1, pp. 51 - 73

Journal Article

Bulletin des sciences mathématiques, ISSN 0007-4497, 09/2019, Volume 155, pp. 112 - 140

In this paper we investigate generalized theta divisors Θr in the moduli spaces UC(r,r) of semistable vector bundles on a curve C of genus 2. We provide a...

Moduli spaces | Theta divisors | Semistable vector bundles | MATHEMATICS, APPLIED | VARIETIES | STABLE VECTOR-BUNDLES | RATIONALITY | Mathematics - Algebraic Geometry

Moduli spaces | Theta divisors | Semistable vector bundles | MATHEMATICS, APPLIED | VARIETIES | STABLE VECTOR-BUNDLES | RATIONALITY | Mathematics - Algebraic Geometry

Journal Article

2016, Graduate studies in mathematics, ISBN 9781470423070, Volume 174, xii, 295 pages

Book

Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2019, Volume 371, Issue 5, pp. 3627 - 3646

We consider the Prym map for double coverings of curves of genus g ramified at r>0 points; that is, the map associated with a double ramified covering its Prym...

SPACE | MATHEMATICS | VARIETIES | DIVISORS | CURVE | VECTOR-BUNDLES

SPACE | MATHEMATICS | VARIETIES | DIVISORS | CURVE | VECTOR-BUNDLES

Journal Article

Rendiconti del Circolo Matematico di Palermo, ISSN 0009-725X, 04/2017, Volume 66, Issue 1, pp. 19 - 41

Journal Article

2012, CRM monograph series, ISBN 0821875825, Volume 30, vii, 140

Book

QUARTERLY JOURNAL OF MATHEMATICS, ISSN 0033-5606, 12/2018, Volume 69, Issue 4, pp. 1221 - 1251

The paper discusses stably trivial torsors for spin and orthogonal groups over smooth affine schemes over infinite perfect fields of characteristic unequal to...

MATHEMATICS | A-HOMOTOPY | VECTOR-BUNDLES

MATHEMATICS | A-HOMOTOPY | VECTOR-BUNDLES

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 01/2019, Volume 109, Issue 1, pp. 135 - 185

A triple vector bundle is a cube of vector bundle structures which commute in the (strict) categorical sense. A grid in a triple vector bundle is a collection...

Connections | Double vector bundles | Curvature | Triple vector bundles | PHYSICS, MATHEMATICAL

Connections | Double vector bundles | Curvature | Triple vector bundles | PHYSICS, MATHEMATICAL

Journal Article

Frontiers of Mathematics in China, ISSN 1673-3452, 2/2019, Volume 14, Issue 1, pp. 45 - 76

We bring in Landau-Lifshitz-Bloch equation on m-dimensional closed Riemannian manifold and prove that it admits a unique local solution. When m ⩾ 3 and the...

Orientable vector bundle | Riemannian curvature tensor on vector bundle | 35A02 | 35A01 | Mathematics, general | Sobolev space on vector bundle | Mathematics | 35K10 | MATHEMATICS | Riemann manifold | Uniqueness

Orientable vector bundle | Riemannian curvature tensor on vector bundle | 35A02 | 35A01 | Mathematics, general | Sobolev space on vector bundle | Mathematics | 35K10 | MATHEMATICS | Riemann manifold | Uniqueness

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 10/2019, Volume 293, Issue 1, pp. 371 - 382

We show that local complete intersection subvarieties of smooth projective varieties, which have partially ample normal bundle, possess the G2-property. This...

q -Ample vector bundles | 14C20 | 14B20 | 14C25 | Mathematics, general | Mathematics | G2-property | q-Ample vector bundles | MATHEMATICS | VARIETIES | EMBEDDINGS

q -Ample vector bundles | 14C20 | 14B20 | 14C25 | Mathematics, general | Mathematics | G2-property | q-Ample vector bundles | MATHEMATICS | VARIETIES | EMBEDDINGS

Journal Article

Expositiones Mathematicae, ISSN 0723-0869, 03/2020, Volume 38, Issue 1, pp. 51 - 59

The Sasakura bundle is a relatively recent appearance in the world of remarkable vector bundles on projective spaces. In fact, it is connected with some...

Vector bundle | Elliptic conic bundle | Projective space | MATHEMATICS | P-4 | CONSTRUCTION | VECTOR-BUNDLES

Vector bundle | Elliptic conic bundle | Projective space | MATHEMATICS | P-4 | CONSTRUCTION | VECTOR-BUNDLES

Journal Article

Advances in Mathematics, ISSN 0001-8708, 01/2020, Volume 360, p. 106921

We introduce a vector bundle version of the complex Monge-Ampère equation motivated by a desire to study stability conditions involving higher Chern forms. We...

Kobayashi-Hitchin correspondence | Vortex bundle | Moment-map | Vector bundle Monge-Ampère equation | Kazdan-Warner | MATHEMATICS | Vector bundle Monge-Ampere equation | CONNECTIONS

Kobayashi-Hitchin correspondence | Vortex bundle | Moment-map | Vector bundle Monge-Ampère equation | Kazdan-Warner | MATHEMATICS | Vector bundle Monge-Ampere equation | CONNECTIONS

Journal Article

Quarterly Journal of Mathematics, ISSN 0033-5606, 12/2016, Volume 67, Issue 4, pp. 603 - 635

We establish the equality of two definitions of a Euler class in algebraic geometry: the first definition is as a 'characteristic class' with values in...

MATHEMATICS | MOTIVIC COHOMOLOGY | VECTOR-BUNDLES

MATHEMATICS | MOTIVIC COHOMOLOGY | VECTOR-BUNDLES

Journal Article

Manuscripta Mathematica, ISSN 0025-2611, 05/2017, Volume 153, Issue 1-2, pp. 147 - 158

We shall give a necessary and sufficient condition for the existence of stable sheaves on non-classical Enriques surfaces.

Primary 14D20 | MATHEMATICS | VECTOR-BUNDLES

Primary 14D20 | MATHEMATICS | VECTOR-BUNDLES

Journal Article

Advances in Mathematics, ISSN 0001-8708, 07/2019, Volume 351, pp. 1105 - 1138

It is known that all the vector bundles of the title can be obtained by holomorphic induction from representations of a certain parabolic Lie algebra on finite...

Hermitizable homogeneous holomorphic vector bundles | Cowen-Douglas class | Holomorphic induction | MATHEMATICS | TUPLES | holomorphic vector bundles | REPRESENTATIONS | Hermitizable homogeneous | SPACES | MULTIPLICATION OPERATORS | KERNELS | Algebra

Hermitizable homogeneous holomorphic vector bundles | Cowen-Douglas class | Holomorphic induction | MATHEMATICS | TUPLES | holomorphic vector bundles | REPRESENTATIONS | Hermitizable homogeneous | SPACES | MULTIPLICATION OPERATORS | KERNELS | Algebra

Journal Article

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