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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
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
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
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
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
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
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
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
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
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
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
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
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
Journal Article
by Asok, A and Fasel, J
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
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
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
Journal Article
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