منابع مشابه
On Kummer 3-folds
We investigate a generalization of Kummer construction, as introduced in [AW08]. The aim of this work is to classify 3-dimensional Kummer varieties by computing their Poincaré polynomials.
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The familiar division of compact Riemann surfaces into 3 cases g = 0, g = 1 and g ≥ 2 corresponds to the well known trichotomy of spherical, Euclidean and hyperbolic non-Euclidean plane geometry. Classification aims to treat all projective algebraic varieties in terms of this trichotomy; the model is Castelnuovo and Enriques’ treatment of surfaces around 1900 (reworked by Kodaira in the 1960s)....
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A toroidalization of a dominant morphism $varphi: Xto Y$ of algebraic varieties over a field of characteristic zero is a toroidal lifting of $varphi$ obtained by performing sequences of blow ups of nonsingular subvarieties above $X$ and $Y$. We give a proof of toroidalization of locally toroidal morphisms of 3-folds.
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In this article, we prove that any Q-Calabi-Yau 3-fold with only ordinary terminal singularities and any Q-Fano 3-fold of Fano index 1 with only terminal singularities have Q-smoothings.
متن کاملNon-Abelian Brill–Noether theory and Fano 3-folds
The number h(L) of linearly independent section of a line bundle L can be used to define subschemes of JacC, called the Brill–Noether locuses. These have been studied since the 19th century, since they reflect properties of an individual curve that are beyond the control of the Riemann–Roch theorem. In this article, we recall this theory briefly in §2, then generalize it to the moduli spaces MC...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1992
ISSN: 2156-2261
DOI: 10.1215/kjm/1250519413