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Titlebook: Birational Geometry, Rational Curves, and Arithmetic; Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel Book 2013 Springer Science+Business M

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Lehrbuch Lebensmittelchemie und Ernährungfaces such as . and .. We discuss constructions of ample divisors and determine the ample cone for Hirzebruch surfaces and del Pezzo surfaces with ..≥2. As a corollary, we show that the Hilbert scheme of points on a Fano surface is a Mori dream space. We then discuss effective divisors on Hilbert sc
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Lehrbuch Lebensmittelchemie und Ernährungy detected by abelian subgroups (see Theorem 11). Moreover, we show that the stable cohomology of the .-fold wreath product . of cyclic groups . is detected by elementary abelian .-subgroups and we describe the resulting cohomology algebra explicitly. Some applications to the computation of unramifi
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Lehrbuch Lebensmittelchemie und Ernährungnzburg models. Based on that we suggest a generalization of Kawamata’s categorical approach to birational geometry enhancing it via geometry of moduli spaces of Landau–Ginzburg models. We suggest a conjectural application to the Hassett–Kuznetsov–Tschinkel program, based on new nonrationality “invar
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https://doi.org/10.1007/978-3-211-49348-9miliar with characteristic-.-geometry but who would like to see similarities, as well as differences, to complex geometry. More precisely, these notes are on algebraic surfaces in positive characteristic and assume familiarity with the complex side of this theory, say, on the level of Beauville’s bo
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,Gewürze — Aromastoffe in Lebensmitteln,approximation, Zariski density of points. We begin by reviewing the geometry of these surfaces over separably closed fields. We then show that del Pezzo surfaces of degree at least 5 that have a rational point are rational over their ground field, thereby proving they satisfy weak approximation and
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Lehrbuch Lebensmittelchemie und ErnährungWe survey the period maps of some Fano varieties and the geometry of their spaces of curves of low genera and degrees.
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Lehrbuch Lebensmittelchemie und ErnährungWe discuss uniruledness criteria on higher-dimensional varieties and their applications.
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