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Weil Conjectures, Perverse Sheaves, and L-Adic Fourier Transform
Weil Conjectures, Perverse Sheaves, and L-Adic Fourier Transform
by Reinhardt Kiehl
Publisher Comments
The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a... (read more)

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Ima Volumes in Mathematics and Its Applications #148: Software for Algebraic Geometry
Ima Volumes in Mathematics and Its Applications #148: Software for Algebraic Geometry
by Michael E. Stillman
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Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and... (read more)

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C.I.M.E. Summer Schools #45: Geometry of Homogeneous Bounded Domains: Urbino, Italy 1967
C.I.M.E. Summer Schools #45: Geometry of Homogeneous Bounded Domains: Urbino, Italy 1967
by E Vesentini
Publisher Comments
S.G. Gindikin, I.I. Pjateckii-Sapiro, E.B. Vinberg: Homogeneous Kähler manifolds.- S.G. Greenfield: Extendibility properties of real submanifolds of Cn.- W. Kaup: Holomorphische Abbildungen in Hyperbolische Räume.- A. Koranyi: Holomorphic and harmonic... (read more)

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Trends in Singularities
Trends in Singularities
by J. A. Libgober
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The collection of papers in this volume represents recent advances in the geometry and topology of singularities. Written by well-known specialists, the articles cover a broad range of topics that provide a focus for ongoing research and investigation... (read more)

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Geometric Formulas
Geometric Formulas
by Barcharts
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6-page laminated guide includes: general terms lines line segments rays angles transversal line angles polygons circles theorems & relationships postulates geometric... (read more)

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Mathematical Sciences Research Institute Publications #25: Topology of Real Algebraic Sets
Mathematical Sciences Research Institute Publications #25: Topology of Real Algebraic Sets
by Selman Akbulut
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This book is intended to cover real algebraic varieties emphasizing the author's program to classify them topologically. The first chapter gives an overview of the classification program. The second chapter provides background material for the rest of... (read more)

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Lecture Notes in Mathematics #1886: Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III
Lecture Notes in Mathematics #1886: Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III
by Shigeru Takamura
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Here is a deformation theory for degenerations of complex curves; specifically, discussing deformations which induce splitting of the singular fiber of a degeneration. The author constructs a deformation of the degeneration in such a way that a... (read more)

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Progress in Mathematics #187: Courbes Semi-Stables Et Groupe Fondamental En Geometrie Algebrique
Progress in Mathematics #187: Courbes Semi-Stables Et Groupe Fondamental En Geometrie Algebrique
by M. Raynaud
Publisher Comments
This volume contains detailed expositions of talks given during an instructional conference held at Luminy in December 1998, which was devoted to classical and recent results concerning the fundamental group of algebraic curves, especially over finite... (read more)

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Lecture Notes in Mathematics #1378: Capacity Theory on Algebraic Curves
Lecture Notes in Mathematics #1378: Capacity Theory on Algebraic Curves
by Robert S. Rumely
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Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. Its main result is an arithmetic one, a... (read more)

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Algebraic Surfaces
Algebraic Surfaces
by Oscar Zariski
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From the reviews: "The author's book [...] saw its first edition in 1935. [...] Now as before, the original text of the book is an excellent source for an interested reader to study the methods of classical algebraic geometry, and to find the great old... (read more)

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Annals of Mathematics Studies #143: Cycles, Transfers, and Motivic Homology Theories. (Am-143)
Annals of Mathematics Studies #143: Cycles, Transfers, and Motivic Homology Theories. (Am-143)
by Vladimir Voevodsky
Publisher Comments
The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers... (read more)

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Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint
Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint
by Gregor Fels
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Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given... (read more)

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Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a #42: Weil Conjectures, Perverse Sheaves and L'Adic Fourier Transform
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a #42: Weil Conjectures, Perverse Sheaves and L'Adic Fourier Transform
by Reinhardt Kiehl
Publisher Comments
The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a... (read more)

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Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a #21: Neron Models
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a #21: Neron Models
by Siegfried Bosch
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Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success... (read more)

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Deformation Theory
Deformation Theory
by Robin Hartshorne
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The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin... (read more)

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Graduate Texts in Mathematics #201: Diophantine Geometry
Graduate Texts in Mathematics #201: Diophantine Geometry
by Marc Hindry
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This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the... (read more)

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Applications of Algebraic Geometry to Coding Theory, Physics and Computation
Applications of Algebraic Geometry to Coding Theory, Physics and Computation
by Ciro Ciliberto
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An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory... (read more)

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Abelian Functions (Cambridge Mathematical Library)
Abelian Functions (Cambridge Mathematical Library)
by Henry Frederick Baker
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Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincaré, Clebsch, Jacobi and other outstanding mathematicians of the last century, was mainly an analytical theory. In our century the methods and... (read more)

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Algebraic Geometry I: Complex Projective Varieties
Algebraic Geometry I: Complex Projective Varieties
by David Mumford
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From the reviews: "Although several textbooks on modern algebraic geometry have been published in the meantime, Mumford's "Volume I" is, together with its predecessor the red book of varieties and schemes, now as before one of the most excellent and... (read more)

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Cambridge Studies in Advanced Mathematics #76: Hodge Theory and Complex Algebraic Geometry I
Cambridge Studies in Advanced Mathematics #76: Hodge Theory and Complex Algebraic Geometry I
by Claire Voisin
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The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.... (read more)

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