In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.
This is a much-needed work in the financial literature, and it is the first book ever to analyse the use of Special Purpose Acquisition Companies (SPACs) from a theoretical and practical perspective. By the end of 2020, more than 240 SPACs were listed in the US (on NASDAQ or the NYSE), raising a record $83 billion. The SPAC craze has been shaking the US for months, mainly because of its simplicity: a bunch of investors decides to buy shares at a fixed price in a company that initially has no assets. In this way, a SPAC, also known as a "blank check company", is created as an empty shell with lots of money to spend on a corporate shopping spree. Could the trend be here to stay? Are SPACs the new legitimate path to traditional IPO? This book tackles those questions and more. The author provides a thorough analysis of SPACs including their legal framework and how they are used as a risk mitigation tool to structure transactions. The main objectives of the book are focused on finding a working definition for SPACs and theorising on their origins, definition, and evolution; identifying the objectives of financial regulation within the context of the recent financial crisis (2007–2010) and the one that is currently unfolding (Covid-19); and also describing practical examples of SPACs through a comparative study that, for the first time, outlines every major capital market on which SPACs are listed, in order to identify a possible international standard of regulation. The book is relevant to academics as well as policymakers, international financial regulators, corporate finance lawyers as well as to the financial industry tout court.
This book develops and illustrates a new promising workshop methodology utilized for the first time in a comparative study between Italy and Australia. It is shown how Change Laboratory workshops are useful to trigger sense of initiative and entrepreneurship in vocational students.
Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.
Focuses on the challenges of AIDS-related intestinal infections in the worldwide scenario. It fills a gap in the medical literature on the subject by providing the latest information and advances in the field along with an exhaustive series of light and electron microscopy micrographs and illustrations. It can serve as a reference book for problems arising in clinical and laboratory practice worldwide, and is a valuable textbook for clinicians, students, and AIDS care workers in industralized and developing countries alike.
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