Algebraic Surfaces in Positive Characteristics: Purely Inseparable Phenomena in Curves and Surfaces
Autor Masayoshi Miyanishi, Hiroyuki Itoen Limba Engleză Hardback – 3 aug 2020
In the present book, we consider first the forms of the affine line or the additive group, classification of such forms and detailed analysis. The forms of the affine line considered over the function field of an algebraic curve define the algebraic surfaces with fibrations by curves with moving singularities. These fibrations are investigated via the Mordell-Weil groups, which are originally introduced for elliptic fibrations.
This is the first book which explains the phenomena arising from purely inseparable coverings and Artin-Schreier coverings. In most cases, the base surfaces are rational, hence the covering surfaces are unirational. There exists a vast, unexplored world of unirational surfaces. In this book, we explain the Frobenius sandwiches as examples of unirational surfaces.
Rational double points in positive characteristics are treated in detail with concrete computations. These kinds of computations are not found in current literature. Readers, by following the computations line after line, will not only understand the peculiar phenomena in positive characteristics, but also understand what are crucial in computations. This type of experience will lead the readers to find the unsolved problems by themselves.
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Specificații
ISBN-13: 9789811215209
ISBN-10: 9811215200
Pagini: 456
Dimensiuni: 157 x 235 x 29 mm
Greutate: 0.78 kg
Editura: World Scientific Publishing Company
ISBN-10: 9811215200
Pagini: 456
Dimensiuni: 157 x 235 x 29 mm
Greutate: 0.78 kg
Editura: World Scientific Publishing Company