The complex singularity exponent is a local invariant of a holomorphic function determined
by the integrability of fractional powers of the function. The log canonical thresholds of …

Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds
are a fundamental subclass that can be thought of as higher-dimensional generalizations of …

There are 105 irreducible families of smooth Fano threefolds, which have been classified by
Iskovskikh, Mori and Mukai. For each family, we determine whether the general member …

One of the most important results obtained by Iskovskikh is a classification of smooth Fano
threefolds of Picard rank 1 (see [Is77],[Is78]). In fact, he was the one who introduced the …

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We develop a framework that allows one to describe the birational geometry of Calabi-Yau
pairs $(X, D) $. After establishing some general results for Calabi-Yau pairs $(X, D) $ with …

Introduction. In this paper we discuss some recent results about maps of complex algebraic
varieties. A contraction p: X→ Z is a proper surjective map of normal varieties with connected …

Let $\f: X\ra Z $ be a proper surjective map from a smooth complex manifold $ X $ onto a
normal variety $ Z $. If $\f $ has connected fibers and $-K_X $ is $\f $-ample then $\f $ is …

In this article, a sequel to" Global Frobenius Liftability I"(math: 1708: 03777v2), we continue
the development of a comprehensive theory of Frobenius liftings modulo $ p^ 2$. We study …

Introduction. In this paper rank 2 vector bundles E on projective spaces Ψn and quadrics Qn
are investigated which enjoy the additional property that their projectized bundles Ψ (E) are …