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The Battle of Mohács, 1526
The story of the battle of Mohács and of King Louis II’s dramatic escape, only to meet his end by falling from his horse and drowning in the stream of Csele, is well-known. These traumatic events have been seen as symbolizing the fall of the independent Hungarian Kingdom and the dawn of an age of oppression. This volume presents new research on these events and their interpretation, focusing on topics such as battlefield reconstruction, troop involvement, firearm use, and later political use and abuse of the memory of the battle. Contributors are Pál Fodor, Péter Gyenizse, Erika Hancz, Máté Kitanics, Sándor Konkoly, Dénes Lóczy, Tamás Morva, Norbert Pap, Júlia Papp, Gábor Szalai, and Gábor Varga.
Projective Varieties with Unexpected Properties
This volume contains refereed papers related to the lectures and talks given at a conference held in Siena (Italy) in June 2004. Also included are research papers that grew out of discussions among the participants and their collaborators. All the papers are research papers, but some of them also contain expository sections which aim to update the state of the art on the classical subject of special projective varieties and their applications and new trends like phylogenetic algebraic geometry. The topic of secant varieties and the classification of defective varieties is central and ubiquitous in this volume. Besides the intrinsic interest of the subject, it turns out that it is also relevant in other fields of mathematics like expressions of polynomials as sums of powers, polynomial interpolation, rank tensor computations, Bayesian networks, algebraic statistics and number theory.
Algebra, Geometry and Their Interactions
This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.
Interactions of Classical and Numerical Algebraic Geometry
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.
Secrets
“Peculiar” is what the coroner called Albert Ruppert Manigrove III’s death on a dark highway just outside Fort Knox, guardian of America’s gold and home to secret U.S. military operations. It's the early 1950s, and the Cold War has turned hot. Super powers Russia and the U.S. are pitted against each other in a struggle for control of the Korean Peninsula. While this bloody encounter rages on, a more fundamental contest is being played out in secret laboratories and testing sites around the globe. Its signature is the monstrous mushroom cloud—the Hydrogen Bomb, mankind’s deadliest weapon. Was Captain Manigrove’s death tied to the gold or was he a casualty of this secret war?
