Igusa S P Adic Local Zeta Function And The Monodromy Conjecture For Non Degenerate Surface Singularities
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Igusa S P Adic Local Zeta Function And The Monodromy Conjecture For Non Degenerate Surface Singularities
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Author : Bart Bories
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-21
Igusa S P Adic Local Zeta Function And The Monodromy Conjecture For Non Degenerate Surface Singularities written by Bart Bories and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Mathematics categories.
In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa's p-adic and the motivic zeta function. In the p-adic case, this is, for a polynomial f∈Z[x,y,z] satisfying f(0,0,0)=0 and non-degenerate with respect to its Newton polyhedron, we show that every pole of the local p-adic zeta function of f induces an eigenvalue of the local monodromy of f at some point of f−1(0)⊂C3 close to the origin. Essentially the entire paper is dedicated to proving that, for f as above, certain candidate poles of Igusa's p-adic zeta function of f, arising from so-called B1-facets of the Newton polyhedron of f, are actually not poles. This turns out to be much harder than in the topological setting. The combinatorial proof is preceded by a study of the integral points in three-dimensional fundamental parallelepipeds. Together with the work of Lemahieu and Van Proeyen, this main result leads to the Monodromy Conjecture for the p-adic and motivic zeta function of a non-degenerate surface singularity.
The Abel Prize 2013 2017
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Author : Helge Holden
language : en
Publisher: Springer
Release Date : 2019-02-23
The Abel Prize 2013 2017 written by Helge Holden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-23 with Mathematics categories.
The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.
Correspondance
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Author : Alexandre Grothendieck
language : fr
Publisher: Société Mathématique de France
Release Date : 2001
Correspondance written by Alexandre Grothendieck and has been published by Société Mathématique de France this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematicians categories.
Arithmetic And Geometry Of K3 Surfaces And Calabi Yau Threefolds
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Author : Radu Laza
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-12
Arithmetic And Geometry Of K3 Surfaces And Calabi Yau Threefolds written by Radu Laza and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-12 with Mathematics categories.
In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi–Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated. Unlike most other conferences, the 2011 Calabi–Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.
Modular And Automorphic Forms Beyond
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Author : Hossein Movasati
language : en
Publisher: World Scientific
Release Date : 2021-10-12
Modular And Automorphic Forms Beyond written by Hossein Movasati and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-12 with Mathematics categories.
The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi-Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called 'Gauss-Manin connection in disguise'.
Coding Theory Cryptography And Related Areas
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Author : Johannes Buchmann
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-11-23
Coding Theory Cryptography And Related Areas written by Johannes Buchmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-23 with Computers categories.
A series of research papers on various aspects of coding theory, cryptography, and other areas, including new and unpublished results on the subjects. The book will be useful to students, researchers, professionals, and tutors interested in this area of research.
Isolated Singular Points On Complete Intersections
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Author : Eduard Looijenga
language : en
Publisher: Cambridge University Press
Release Date : 1984-03
Isolated Singular Points On Complete Intersections written by Eduard Looijenga and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-03 with Mathematics categories.
This book will be of use to professional mathematicians working in algebraic geometry, complex-analytical geometry and, to some extent, differential analysis.
Quasi Ordinary Power Series And Their Zeta Functions
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Author : Enrique Artal-Bartolo
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Quasi Ordinary Power Series And Their Zeta Functions written by Enrique Artal-Bartolo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Intends to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, this title computes the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h, T)$ of a quasi-ordinary power series $h$ of arbitrary dimension
An Introduction To The Theory Of Local Zeta Functions
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Author : Jun-ichi Igusa
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
An Introduction To The Theory Of Local Zeta Functions written by Jun-ichi Igusa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book is an introductory presentation to the theory of local zeta functions. Viewed as distributions, and mostly in the archimedean case, local zeta functions are also called complex powers. The volume contains major results on analytic and algebraic properties of complex powers by Atiyah, Bernstein, I. M. Gelfand, S. I. Gelfand, and Sato. Chapters devoted to $p$-adic local zeta functions present Serre's structure theorem, a rationality theorem, and many examples found by the author. The presentation concludes with theorems by Denef and Meuser. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.
Zeta Functions In Algebra And Geometry
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Author : Antonio Campillo
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Zeta Functions In Algebra And Geometry written by Antonio Campillo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Contains the proceedings of the Second International Workshop on Zeta Functions in Algebra and Geometry held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincare series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.