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| Author | : Frances R. Aparicio |
| Publisher | : Dartmouth College Press |
| Total Pages | : 248 |
| Release | : 1997 |
| Genre | : History |
| ISBN | : |
A new conceptual lexicon challenges the colonizing discourses that traditionally represent Latinas/os.
| Author | : Shu Kawaguchi |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 110 |
| Release | : 2021-07-21 |
| Genre | : Education |
| ISBN | : 1470447533 |
For a connected smooth projective curve X of genus g, global sections of any line bundle L with deg(L) ≥ 2g + 1 give an embedding of the curve into projective space. We consider an analogous statement for a Berkovich skeleton in nonarchimedean geometry: We replace projective space by tropical projective space, and an embedding by a homeomorphism onto its image preserving integral structures (or equivalently, since X is a curve, an isometry), which is called a faithful tropicalization. Let K be an algebraically closed field which is complete with respect to a nontrivial nonarchimedean value. Suppose that X is defined over K and has genus g ≥ 2 and that Γ is a skeleton (that is allowed to have ends) of the analytification Xan of X in the sense of Berkovich. We show that if deg(L) ≥ 3g − 1, then global sections of L give a faithful tropicalization of Γ into tropical projective space. As an application, when Y is a suitable affine curve, we describe the analytification Y an as the limit of tropicalizations of an effectively bounded degree.
| Author | : Matthew Baker |
| Publisher | : Springer |
| Total Pages | : 526 |
| Release | : 2016-08-18 |
| Genre | : Mathematics |
| ISBN | : 3319309455 |
This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarchimedean analytic spaces for a series of inspiring and provocative lectures on cutting edge research, interspersed with lively discussions and collaborative work in small groups. The articles collected here, which include high-level surveys as well as original research, mirror the main themes of the two Symposia. Topics covered in this volume include: Differential forms and currents, and solutions of Monge-Ampere type differential equations on Berkovich spaces and their skeletons; The homotopy types of nonarchimedean analytifications; The existence of "faithful tropicalizations" which encode the topology and geometry of analytifications; Relations between nonarchimedean analytic spaces and algebraic geometry, including logarithmic schemes, birational geometry, and the geometry of algebraic curves; Extended notions of tropical varieties which relate to Huber's theory of adic spaces analogously to the way that usual tropical varieties relate to Berkovich spaces; and Relations between nonarchimedean geometry and combinatorics, including deep and fascinating connections between matroid theory, tropical geometry, and Hodge theory.
| Author | : Renzo Cavalieri |
| Publisher | : Springer Nature |
| Total Pages | : 163 |
| Release | : 2023-11-01 |
| Genre | : Mathematics |
| ISBN | : 3031394011 |
This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions in enumerative geometry of a more classical flavour. Tropical geometry forms the calculus through which calculations in this subject are carried out. These notes cover the foundational aspects of this tropical calculus, geometric aspects of the degeneration formula for Gromov-Witten invariants, and the practical nuances of working with and enumerating tropical curves. Readers will get an assisted entry route to the subject, focusing on examples and explicit calculations.
| Author | : Frances R. Aparicio |
| Publisher | : Dartmouth College Press |
| Total Pages | : 248 |
| Release | : 1997 |
| Genre | : History |
| ISBN | : |
A new conceptual lexicon challenges the colonizing discourses that traditionally represent Latinas/os.
| Author | : R. Rivera |
| Publisher | : Springer |
| Total Pages | : 279 |
| Release | : 2003-02-07 |
| Genre | : Social Science |
| ISBN | : 1403981671 |
New York Puerto Ricans have been an integral part of hip hop culture since day one: from 1970s pioneers like Rock Steady Crew's Jo-Jo, to recent rap mega-stars Big Punisher (R.I.P.) and Angie Martinez. Yet, Puerto Rican participation and contributions to hip hop have often been downplayed and even completely ignored. And when their presence has been acknowledged, it has frequently been misinterpreted as a defection from Puerto Rican culture and identity, into the African American camp. But nothing could be further from the truth. Through hip hop, Puerto Ricans have simply stretched the boundaries of Puerto Ricanness and latinidad.
| Author | : Erwan Brugalle |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 363 |
| Release | : 2013-05-23 |
| Genre | : Mathematics |
| ISBN | : 0821891464 |
This volume contains the proceedings of the CIEM workshop on Tropical Geometry, held December 12-16, 2011, at the International Centre for Mathematical Meetings (CIEM), Castro Urdiales, Spain. Tropical geometry is a new and rapidly developing field of mat
| Author | : Roderick Anthony Hernandez |
| Publisher | : |
| Total Pages | : 574 |
| Release | : 2000 |
| Genre | : |
| ISBN | : |
| Author | : Grigoriĭ Lazarevich Litvinov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 395 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0821847821 |
This volume is a collection of papers from the International Conference on Tropical and Idempotent Mathematics, held in Moscow, Russia in August 2007. This is a relatively new branch of mathematical sciences that has been rapidly developing and gaining popularity over the last decade. Tropical mathematics can be viewed as a result of the Maslov dequantization applied to 'traditional' mathematics over fields. Importantly, applications in econophysics and statistical mechanics lead to an explanation of the nature of financial crises. Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of eigenfunctions of idempotent linear operators. Tropical algebras, consisting of plurisubharmonic functions and their germs, are examined. The volume also contains important surveys and research papers on tropical linear algebra and tropical convex geometry.
| Author | : Mats Andersson |
| Publisher | : Birkhäuser |
| Total Pages | : 466 |
| Release | : 2017-09-04 |
| Genre | : Mathematics |
| ISBN | : 3319524712 |
This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand. It includes several papers describing Mikael’s life as well as his contributions to mathematics, written by friends of Mikael’s who share his attitude and passion for science. A major section of the book presents original research articles that further develop Mikael’s ideas and which were written by his former students and co-authors. All these mathematicians work at the interface of analysis and geometry, and Mikael’s impact on their research cannot be underestimated. Most of the contributors were invited speakers at the conference organized at Stockholm University in his honor. This book is an attempt to express our gratitude towards this great mathematician, who left us full of energy and new creative mathematical ideas.
