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Large Deviations and Asymptotic Methods in Finance
Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-11605-1
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Hyperbolicity of Projective Hypersurfaces
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. Foundational works of Serge Lang and Paul A. Vojta, among others, resulted in precise conjectures regarding the interplay of these res…
- Edition
- -
- ISBN/ISSN
- 978-3-319-32314-5
- Collation
- XIV, 89
- Series Title
- -
- Call Number
- 510 DIV h
Conformal Symmetry Breaking Operators for Differential Forms on Spheres
This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1). The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulæ in the flat coordinate…
- Edition
- 1
- ISBN/ISSN
- 9789811026577
- Collation
- ix, 192 pages
- Series Title
- Lecture Notes in Mathematics
- Call Number
- 516.36
Index Analysis Approach Theory at Work
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their unifo…
- Edition
- 1
- ISBN/ISSN
- 978-1-4471-6484-5
- Collation
- XXI, 466
- Series Title
- Springer Monographs in Mathematics
- Call Number
- 510 LOW i
Configuration Spaces Geometry, Topology and Representation Theory
This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric g…
- Edition
- -
- ISBN/ISSN
- 9783319315805
- Collation
- -
- Series Title
- -
- Call Number
- 512.9
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are r…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-24166-1
- Collation
- VIII, 134
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 512.5 GUA a
Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the ge…
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- ISBN/ISSN
- -
- Collation
- -
- Series Title
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- Call Number
- -
Rigid Geometry of Curves and Their Jacobians
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of cu…
- Edition
- -
- ISBN/ISSN
- 978-3-319-27371-6
- Collation
- -
- Series Title
- -
- Call Number
- -
Rigid Cohomology over Laurent Series Fields
In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le S…
- Edition
- -
- ISBN/ISSN
- 978-3-319-30951-4
- Collation
- -
- Series Title
- -
- Call Number
- -
Riemannian Geometry
Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few Works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory. The …
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- ISBN/ISSN
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