Titlebook: Birational Geometry and Moduli Spaces; Elisabetta Colombo,Barbara Fantechi,Rita Pardini Book 2020 Springer Nature Switzerland AG 2020 Modu

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Programmieren von MikrocomputernIn this paper we show that the Chern numbers of a smooth Mori fibre space in dimension three are bounded in terms of the underlying topological manifold. We also generalise a theorem of Cascini and the second named author on the boundedness of Chern numbers of certain threefolds to the case of negative Kodaira dimension.

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,Negative Rational Curves and Their Deformations on Hyperkähler Manifolds,We survey some results about rational curves on hyperkähler manifolds, explaining how to prove a certain deformation-invariance statement for loci covered by rational curves with negative Beauville–Bogomolov square.

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A Travel Guide to the Canonical Bundle Formula,We survey known results on the canonical bundle formula and its applications in algebraic geometry.

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,Some Examples of Calabi–Yau Pairs with Maximal Intersection and No Toric Model,It is known that a maximal intersection log canonical Calabi–Yau surface pair is crepant birational to a toric pair. This does not hold in higher dimension: this article presents some examples of maximal intersection Calabi–Yau pairs that admit no toric model.

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What is the Monodromy Property for Degenerations of Calabi-Yau Varieties?,In this survey, we discuss the state of art about the monodromy property for Calabi-Yau varieties. We explain what is the monodromy property for Calabi-Yau varieties and then discuss some examples of Calabi-Yau varieties that satisfy this property. After this recap, we discuss a possible approach to future research in this area.

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Birational Geometry and Moduli Spaces978-3-030-37114-2Series ISSN 2281-518X Series E-ISSN 2281-5198

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Schnittpunktsatz, statisches Moment,bic threefolds, as described by Allcock, Carlson and Toledo, and the moduli space of fourfolds of .3.-type with a special non-symplectic automorphism of order three; then, I will show some consequences of this isomorphism concerning degenerations of non-symplectic automorphisms. Finally we will expl

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