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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.
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are reviewed first, followed by the basic properties of points in P^1 x P^1, the bigraded Hilbert function, and ACM sets of points. The authors then show how, using a combinatorial description of ACM points in P^1 x P^1, the bigraded Hilbert function can be computed and, as a result, solve the interpolation p...
Ideals of Powers and Powers of Ideals
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Algebraic Structures and Their Representations
The Latin-American conference on algebra, the XV Coloquio Latinoamericano de Algebra (Cocoyoc, Mexico), consisted of plenary sessions of general interest and special sessions on algebraic combinatorics, associative rings, cohomology of rings and algebras, commutative algebra, group representations, Hopf algebras, number theory, quantum groups, and representation theory of algebras. This proceedings volume contains original research papers related to talks at the colloquium. In addition, there are several surveys presenting important topics to a broad mathematical audience. There are also two invited papers by Raymundo Bautista and Roberto Martinez, founders of the Mexican school of representation theory of algebras. The book is suitable for graduate students and researchers interested in algebra.
Commutative Algebra
This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
ELENA A LA SOMBRA DE LOS FANTASMAS
Elena es una niña que descubre el don que posee de la premonición a través de la trágica muerte de su querida abuela. Con el paso de los años, ésta se convierte en una jovencita muy valiente, perseguida por seres del inframundo: Demonios, espíritus malignos, duendes, fantasmas, etc. Con el apoyo y la ayuda de algunas personas especiales, Elena se enfrentara en varias oportunidades a luchas demoniacas; donde tendrá perdidas de toda clase. Aprendiendo el significado de la vida, Elena se debatirá a muerte con el propio Satanás; una batalla en la que está en juego la vida de muchas personas y solo podrá haber un ganador. ¿Podrá triunfar el bien sobre el mal
1999 International Symposium on Technology and Society
The theme of the symposium is "Women and Technology: Historical, Societal and Professional Perspectives." The roles of women in technology are more diverse, controversial, and important today than ever before. Since the 1950s women have tried to technologically empower themselves, particularly by entering the engineering profession. They have done so in great numbers, although today it is glaringly obvious that women are still underrepresented in engineering. Women in the field still face gender-based obstacles, expectations, and biases despite decades of efforts to eradicate these problems. These issues are addressed.
La grande avventura I racconti di Luna Moonbeam
Cari lettori, Siete pronti per un'avventura indimenticabile? Con questo libro, vi porteremo in un mondo di magia, amicizia e coraggio, dove incontrerete creature fantastiche e affronterete pericoli impensabili. Qui troverete 20 storie mozzafiato di luna Moonbeam che vi porteranno in mondi incredibili, dove la fantasia e la realtà si fondono in un'unica emozionante esperienza. La Grande Avventura è una raccolta di storie che affrontano temi universali come l'amicizia, il coraggio, la determinazione e la speranza. Con ogni storia, i personaggi imparano qualcosa di nuovo su se stessi e sul mondo intorno a loro. Ci sono momenti in cui il percorso sembra impossibile da seguire, ma grazie all'aiuto dei loro amici, i nostri eroi superano le sfide che li attendono.
