منابع مشابه
Computational birational geometry of minimal rational surfaces
The classification of minimal rational surfaces and the birational links between them by Iskovskikh, Manin and others is a well-known subject in the theory of algebraic surfaces. We explain algorithms that realise links of type II between minimal del Pezzo surfaces, one of the major classes of birational links, and we describe briefly how this fits into a large project to implement the results ...
متن کاملPiecewise Morphisms of Birational Foliated Varieties
In this article, we study birational varieties with 1-dimensional foliation and induced piecewise morphisms. Let X and Y be smooth complete complex varieties. Consider a birational map f : X · · · → Y . By definition, f is not generally defined all over X. We observe that if X has some one-dimensional foliation, it is possible to extend f to the whole space X as a piecewise morphism (that is, a...
متن کاملBirational morphisms and Poisson moduli spaces
We study birational morphisms between smooth projective surfaces that respect a given Poisson structure, with particular attention to induced birational maps between the (Poisson) moduli spaces of sheaves on those surfaces. In particular, to any birational morphism, we associate a corresponding “minimal lift” operation on sheaves of homological dimension ≤ 1, and study its properties. In partic...
متن کاملToric Fano Varieties and Birational Morphisms
Smooth toric Fano varieties are classified up to dimension 4. In dimension 2, there are five toric Del Pezzo surfaces: P, P1×P1, and Si, the blowup of P in i points, for i = 1, 2, 3. There are 18 toric Fano 3-folds [2, 20] and 124 toric Fano 4-folds [4, 17]. In higher dimensions, little is known about them and many properties that hold in low dimensions are not known to hold in general. Let X b...
متن کاملRational Morphisms between Quasilinear Hypersurfaces
We prove analogues of several well-known results concerning rational morphisms between quadrics for the class of so-called quasilinear p-hypersurfaces. These hypersurfaces are nowhere smooth over the base field, so many of the geometric methods which have been successfully applied to the study of projective homogeneous varieties over fields cannot be used. We are therefore forced to take an alt...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6899