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.
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.
If you plan to tour Europe, you should consider the Friuli-Venezia Giulia region of northeastern Italy, bordering Austria and Slovenia. For simplicity's sake, we abbreviate the region's full name to Friuli. This lovely region may be an ideal vacation spot. You can get classic Italian food and other specialties and wash it down with excellent local wine. While Friuli is by no means undiscovered by tourists, you usually won't be fighting crowds to see what you want. Like most regions of Italy, it has belonged to many nations. The area remains multicultural, with an exceptional mixture of Italian, Austrian, and Slavic influences. Trieste, with a population of about two hundred thousand, is the region's largest city. Trieste was part and parcel of Mittel Europa (Central Europe) as the principal port of the Austro-Hungarian Empire. Trieste only joined Italy in 1954. One can easily imagine that with such a unique history, Trieste is quite a fantastic place to visit. It is. As soon as you arrive in Trieste, you'll notice its ubiquitous coffee houses. Among the best known is the Antico Caffe San Marco. As it befits its internationality, Trieste is home to various historic religious buildings representing many faiths. The Serbian-Orthodox church of the Holy Trinity and Saint Spyridon, built in the mid-Nineteenth century, shows the solid byzantine influence. Go inside for a look at its beautiful frescoes and icons. The Israelite Temple of Trieste, just over a century old, is Italy's largest synagogue. The Trieste Cathedral, dedicated to the city's patron saint, San Guisto (Saint Justus), who was martyred at the beginning of the Fourth Century, was initially built in the Sixth Century on Roman ruins. It is adjacent to a castle of the same name. Walk on its ramparts for an excellent view of the city and its surroundings. There is no shortage of other churches and museums to visit. This is a guide to a trip in the Friuli region of Italy: passing through Grado, Lignano, Aquileia, Trieste, Pordenone, Udine, and touching the mountains of Friuli, the Carnia, Tarvisio, and Sequals. There are extensive descriptions and photos of the attractions. It contains many reviews for the best-recommended restaurants at the location described.
Mast cells are versatile, tissue-homing secretory cells, which were first described by Paul Ehrlich in 1878. Mast cells have long been implicated in the pathogenesis of allergic reactions and certain protective responses to parasites. Their functional role, however, has been discovered to be increasingly complex and multifarious. Mast cells have been implicated in various cell-mediated immune reactions, being found in tissues from multiple disease sites, and as a component of the host reaction to bacteria, parasite, and even virus infections. They have also been shown to participate to angiogenic and tissue repair processes after injury. The importance of a possible functional link between chronic inflammation and cancer has long been recognized. As most tumours contain inflammatory cell infiltrates, which often include plentiful mast cells, the question as to the possible contribution of mast cells to tumour development has progressively been emerged. In this book, the general biology of these cells, their development, anatomical distribution and phenotype as well as their secretory products will first be discussed. The biology of tumour cells, their structural and molecular characteristics, the specificity of the tumour microenvironment and the development of a vascular network in the tumour context will be analyzed. The involvement of mast cells in tumour biology and tumour fate will then be considered, with particular emphasis on the capacity of these cells to stimulate tumour growth by promoting angiogenesis and lymphangiogenesis. The last chapter suggest that mast cells may serve as a novel therapeutic target for cancer treatment.
If you are planning to tour Europe, you should consider the Friuli-Venezia Giulia region of northeastern Italy, bordering on Austria and Slovenia. This lovely region may be an ideal vacation spot. You can get classic Italian food and other specialties. While Friuli is by no means undiscovered by tourists you usually won t be fighting crowds to see what you want. Like most regions of Italy, it has belonged to many nations over the years. Trieste, with a population of about two hundred thousand, is the region s largest city. Trieste was definitely part and parcel of Mittleleuropa (Central Europe) as the major port of the Austro-Hungarian Empire. Trieste only joined Italy in 1954. One can easily imagine that with such a unique history Trieste is quite a unique place to visit. It is. This is a guide to a trip in the Friuli region of Italy: passing through Grado, Lignano, Aquileia, Trieste, Pordenone, Udine, and touching the mountains of Friuli, the Carnia, Tarvisio and Sequals.
2019 edition Friuli-Venezia Giulia is one of the 5 beautiful regions of Italy and is famous for the delicious cuisines, cakes, and wine. This place is well known for the beautiful Alps Mountains. Being surrounded by the sea this region is also famous for the beautiful beaches. In Friuli Venezia Giulia tourists can also find places where skiing is done for adventure. This region also offers various small slopes, if tourists want to ski for relaxation. Another thing to do is exploring the Art and Culture of this region. The best place of this region is the city of Pordenone which is constructed almost 300 years ago and famous for its beautiful churches and decorative constructions. This is the city where tourists can feel the fragrance of the real heritage of this region. This is a guide to a trip in the Friuli region of Italy: passing through Grado, Lignano, Aquileia, Trieste, Pordenone, Udine, and touching the mountains of Friuli, the Carnia, Tarvisio, and Sequals.
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