16 6 Configurations And Geometry Of Kummer Surfaces In
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16 6 Configurations And Geometry Of Kummer Surfaces In Mathbb P 3
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Author : Maria del Rosario Gonzalez-Dorrego
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
16 6 Configurations And Geometry Of Kummer Surfaces In Mathbb P 3 written by Maria del Rosario Gonzalez-Dorrego 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 1994 with Mathematics categories.
The philosophy of the first part of this work is to understand (and classify) Kummer surfaces by studying (16, 6) configurations. Chapter 1 is devoted to classifying (16, 6) configurations and studying their manifold symmetries and the underlying questions about finite subgroups of [italic capitals]PGL4([italic]k). In chapter 2 we use this information to give a complete classification of Kummer surfaces together with explicit equations and the explicit description of their singularities.
16 6 Configurations And Geometry Of Kummer Surfaces In
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Author : Maria del Rosario Gonzalez-Dorrego
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-08-31
16 6 Configurations And Geometry Of Kummer Surfaces In written by Maria del Rosario Gonzalez-Dorrego and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-31 with MATHEMATICS categories.
This monograph studies the geometry of a Summer surface in P ]3 and of its minimal desingularization, which is a K3 surface (here k is an algebraically closed field of characteristic different from 2). This Kummer surface is a quartic surface with sixteen nodes as its only singularities. These nodes give rise to a configuration of sixteen points and sixteen planes in P ]3 such that each plane contains exactly six points and each point belongs to exactly six planes (this is called a (16, 6) configuration). A Kummer surface is uniquely determined by its set of nodes. Gonzalez_Dorrego classifies (16, 6) configurations and studies their manifold symmetries and the underlying questions about finite subgroups of PGL [4 ( k ). She uses this information to give a complete classification of Kummer surfaces with explicit equations and explicit descriptions of their singularities. In addition, the beautiful connections to the theory of K3 surfaces and abelian varieties are studied.
16 6 Configurations And Geometry Of Kummer Surfaces In
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Author : Maria Gonzalez-Dorrego
language : it
Publisher:
Release Date : 1994
16 6 Configurations And Geometry Of Kummer Surfaces In written by Maria Gonzalez-Dorrego and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
The Art Of Doing Algebraic Geometry
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Author : Thomas Dedieu
language : en
Publisher: Springer Nature
Release Date : 2023-04-14
The Art Of Doing Algebraic Geometry written by Thomas Dedieu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-14 with Mathematics categories.
This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics. It presents original research as well as surveys, both providing a valuable overview of the current state of the art of the covered topics and reflecting the versatility of the scientific interests of Ciro Ciliberto.
On The Martingale Problem For Interactive Measure Valued Branching Diffusions
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Author : Edwin Arend Perkins
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
On The Martingale Problem For Interactive Measure Valued Branching Diffusions written by Edwin Arend Perkins 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 1995 with Mathematics categories.
This book develops stochastic integration with respect to ``Brownian trees'' and its associated stochastic calculus, with the aim of proving pathwise existence and uniqueness in a stochastic equation driven by a historical Brownian motion. Perkins uses these results and a Girsanov-type theorem to prove that the martingale problem for the historical process associated with a wide class of interactive branching measure-valued diffusions (superprocesses) is well-posed. The resulting measure-valued processes will arise as limits of the empirical measures of branching particle systems in which particles interact through their spatial motions or, to a lesser extent, through their branching rates.
Prime Ideals In Skew And Q Skew Polynomial Rings
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Author : K. R. Goodearl
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Prime Ideals In Skew And Q Skew Polynomial Rings written by K. R. Goodearl 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 1994 with Mathematics categories.
New methods are developed to describe prime ideals in skew polynomial rings [italic capital]S = [italic capital]R[[italic]y; [lowercase Greek]Tau, [lowercase Greek]Delta]], for automorphisms [lowercase Greek]Tau and [lowercase Greek]Tau-derivations [lowercase Greek]Delta] of a noetherian coefficient ring [italic capital]R.
Textile Systems For Endomorphisms And Automorphisms Of The Shift
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Author : Masakazu Nasu
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Textile Systems For Endomorphisms And Automorphisms Of The Shift written by Masakazu Nasu 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 1995 with Mathematics categories.
We introduce the notion of a textile system. Using this, we study the dynamical properties of endomorphisms and automorphisms of topological Markov shifts including one-sided ones. The dynamical properties of automorphisms of sofic systems are also studied.
Random Perturbations Of Hamiltonian Systems
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Author : Mark Iosifovich Freĭdlin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Random Perturbations Of Hamiltonian Systems written by Mark Iosifovich Freĭdlin 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 1994 with Mathematics categories.
Random perturbations of Hamiltonian systems in Euclidean spaces lead to stochastic processes on graphs, and these graphs are defined by the Hamiltonian. In the case of white-noise type perturbations, the limiting process will be a diffusion process on the graph. Its characteristics are expressed through the Hamiltonian and the characteristics of the noise. Freidlin and Wentzell calculate the process on the graph under certain conditions and develop a technique which allows consideration of a number of asymptotic problems. The Dirichlet problem for corresponding elliptic equations with a small parameter are connected with boundary problems on the graph.
The Major Counting Of Nonintersecting Lattice Paths And Generating Functions For Tableaux
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Author : Christian Krattenthaler
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
The Major Counting Of Nonintersecting Lattice Paths And Generating Functions For Tableaux written by Christian Krattenthaler 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 1995 with Mathematics categories.
A theory of counting nonintersecting lattice paths by the major index and its generalizations is developed. We obtain determinantal expressions for the corresponding generating functions for families of nonintersecting lattice paths with given starting points and given final points, where the starting points lie on a line parallel to [italic]x + [italic]y = 0. In some cases these determinants can be evaluated to result in simple products. As applications we compute the generating function for tableaux with [italic]p odd rows, with at most [italic]c columns, and with parts between 1 and [italic]n. Moreover, we compute the generating function for the same kind of tableaux which in addition have only odd parts. We thus also obtain a closed form for the generating function for symmetric plane partitions with at most [italic]n rows, with parts between 1 and [italic]c, and with [italic]p odd entries on the main diagonal. In each case the result is a simple product. By summing with respect to [italic]p we provide new proofs of the Bender-Knuth and MacMahon (ex-)conjectures, which were first proved by Andrews, Gordon, and Macdonald. The link between nonintersecting lattice paths and tableaux is given by variations of the Knuth correspondence.
Two Generator Discrete Subgoups Of Psl 2 R
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Author : Jane Gilman
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Two Generator Discrete Subgoups Of Psl 2 R written by Jane Gilman 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 1995 with Gardening categories.
The discreteness problem is the problem of determining whether or not a two-generator subgroup of $PSL(2, R)$ is discrete. Historically, papers on this old and subtle problem have been known for their errors and omissions. This book presents the first complete geometric solution to the discreteness problem by building upon cases previously presented by Gilman and Maskit and by developing a theory of triangle group shinglings/tilings of the hyperbolic plane and a theory explaining why the solution must take the form of an algorithm. This work is a thoroughly readable exposition that captures the beauty of the interplay between the algebra and the geometry of the solution.