Interactions Of Classical And Numerical Algebraic Geometry


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Interactions of Classical and Numerical Algebraic Geometry


Interactions of Classical and Numerical Algebraic Geometry

Author: Daniel James Bates

language: en

Publisher: American Mathematical Soc.

Release Date: 2009-09-16


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This volume contains the proceedings of the conference on Interactions of Classical and Numerical Algebraic Geometry, held May 22-24, 2008, at the University of Notre Dame, in honor of the achievements of Professor Andrew J. Sommese. While classical algebraic geometry has been studied for hundreds of years, numerical algebraic geometry has only recently been developed. Due in large part to the work of Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The primary goal of both the conference and this volume is to foster the interaction between researchers interested in classical algebraic geometry and those interested in numerical methods. The topics in this book include (but are not limited to) various new results in complex algebraic geometry, a primer on Seshadri constants, analyses and presentations of existing and novel numerical homotopy methods for solving polynomial systems, a numerical method for computing the dimensions of the cohomology of twists of ideal sheaves, and the application of algebraic methods in kinematics and phylogenetics.

Hodge Theory and Classical Algebraic Geometry


Hodge Theory and Classical Algebraic Geometry

Author: Gary Kennedy

language: en

Publisher: American Mathematical Soc.

Release Date: 2015-08-27


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This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.

Current Developments in Algebraic Geometry


Current Developments in Algebraic Geometry

Author: Lucia Caporaso

language: en

Publisher: Cambridge University Press

Release Date: 2012-03-19


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This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.