Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, Igor Burban, Bernd Kreussler

Автор: Atanas Atanasov, Eric Larson, David Yang
Название: Interpolation for Normal Bundles of General Curves
ISBN: 147043489X ISBN-13(EAN): 9781470434892
Издательство: Mare Nostrum (Eurospan)
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Описание: Given $n$ general points $p_1, p_2, \ldots, p_n \in \mathbb P^r$, it is natural to ask when there exists a curve $C \subset \mathbb P^r$, of degree $d$ and genus $g$, passing through $p_1, p_2, \ldots, p_n$. In this paper, the authors give a complete answer to this question for curves $C$ with nonspecial hyperplane section.

Автор: Glenys Luke; Alexander S. Mishchenko
Название: Vector Bundles and Their Applications
ISBN: 1441948023 ISBN-13(EAN): 9781441948021
Издательство: Springer
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Цена: 130430.00 T
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Описание: In the last few years the use of geometrie methods has permeated many more branehes of mathematies and the seiences. Briefly its role may be eharaeterized as folIows. Whereas methods of mathematieal analysis deseribe phenomena 'in the sm all " geometrie methods eontribute to giving the picture 'in the large'. A seeond no less important property of geometrie methods is the eonvenienee of using its language to deseribe and give qualitative explanations for diverse mathematieal phenomena and patterns. From this point of view, the theory of veetor bundles together with mathematieal analysis on manifolds (global anal- ysis and differential geometry) has provided a major stimulus. Its language turned out to be extremely fruitful: connections on prineipal veetor bundles (in terms of whieh various field theories are deseribed), transformation groups including the various symmetry groups that arise in eonneetion with physieal problems, in asymptotie methods of partial differential equations with small parameter, in elliptie operator theory, in mathematieal methods of classieal meehanies and in mathematieal methods in eeonomies. There are other eur- rently less signifieant applieations in other fields. Over a similar period, uni- versity edueation has ehanged eonsiderably with the appearanee of new courses on differential geometry and topology. New textbooks have been published but 'geometry and topology' has not, in our opinion, been wen eovered from a prae- tieal applieations point of view.

Автор: Benson
Название: Representations of Elementary Abelian p -Groups and Vector Bundles
ISBN: 1107174171 ISBN-13(EAN): 9781107174177
Издательство: Cambridge Academ
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Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.

Автор: Glenys Luke; Alexander S. Mishchenko
Название: Vector Bundles and Their Applications
ISBN: 0792351541 ISBN-13(EAN): 9780792351542
Издательство: Springer
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Цена: 88500.00 T
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Описание: Devoted to the basic notions of vector bundles and their applications. This book explains important notions and geometric constructions connected with the theory of vector bundles. It contains illustrations and applications to various problems in mathematics and sciences. It is intended for graduate students from pure and applied mathematics.

Автор: Cristian Anghel, Iustin Coanda, Nicolae Manolache
Название: Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces
ISBN: 1470428385 ISBN-13(EAN): 9781470428389
Издательство: Mare Nostrum (Eurospan)
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Описание: Provides a complete classification of globally generated vector bundles with first Chern class $c_1 \leq 5$ one the projective plane and with $c_1 \leq 4$ on the projective $n$-space for $n \geq 3$. This reproves and extends, in a systematic manner, previous results obtained for $c_1 \leq 2$ by Sierra and Ugaglia.

Автор: Valery Alexeev, Angela Gibney, Elham Izadi, Janos Kollar, Eduard Looijenga
Название: Compact Moduli Spaces and Vector Bundles
ISBN: 0821868993 ISBN-13(EAN): 9780821868997
Издательство: Mare Nostrum (Eurospan)
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Описание: Contains the proceedings of the conference on Compact Moduli and Vector Bundles, held from October 21-24, 2010. It is a mix of survey papers and original research articles on two related subjects: Compact Moduli spaces of algebraic varieties, including of higher-dimensional stable varieties and pairs, and Vector Bundles on such compact moduli spaces, including the conformal block bundles.

Автор: Rudolph Gerd, Schmidt Matthias
Название: Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields
ISBN: 9402414495 ISBN-13(EAN): 9789402414493
Издательство: Springer
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Описание: Fibre bundles and connections.- Linear connections and Riemannian geometry.- Homotopy theory of principal fibre bundles. Classification.- Cohomology theory of fibre bundles. Characteristic classes.- Clifford algebras, spin structures and Dirac operators.- The Yang-Mills equation.- Matter fields and model building.- The gauge orbit space.- Elements of quantum gauge theory.- A Field restriction and field extension.- B The Conformal Group of the 4-sphere.- C Simple Lie algebras. Root diagrams.- D z -function regularization.- E K-theory and index bundles.- F Determinant line bundles.- G Eilenberg-MacLane spaces.- References. Index.

Автор: A. Douady; J. M. G. Fell; L. Dal Soglio-Herault
Название: Induced Representations and Banach*-Algebraic Bundles
ISBN: 354008147X ISBN-13(EAN): 9783540081470
Издательство: Springer
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Цена: 32560.00 T
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