منابع مشابه
Special Linear Systems on Toric Varieties
We consider linear systems on toric varieties of any dimension, with invariant base points, giving a characterization of special linear systems. We then make a new conjecture for linear systems on rational surfaces. Introduction Let us take the projective plane P and let us consider the linear system of curves of degree d having some points of fixed multiplicity. The expected dimension of such ...
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For nonsingular varieties, the one-dimensional case is an easy fact in curve theory. The two-dimensional case follows from the work of Reider [16]. In higherdimensional cases, (I) is known for n = 3 [3] and n = 4 [8], and by [1] we know that KX + 1 2 (n2 +n+ 2)D is generated by global sections for all n. Less is known about (II) with one exception: if D is already very ample, then (I) and (II) ...
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چکیده ندارد.
15 صفحه اولBasic results on irregular varieties via Fourier--Mukai methods
Recently Fourier–Mukai methods have proved to be a valuable tool in the study of the geometry of irregular varieties. The purpose of this paper is to illustrate these ideas by revisiting some basic results. In particular, we show a simpler proof of the Chen–Hacon birational characterization of abelian varieties. We also provide a treatment, along the same lines, of previous work of Ein and Laza...
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Let C be the commuting variety of the Lie algebra g of a connected noncommutative reductive algebraic group G over an algebraically closed field of characteristic zero. Let C be the singular locus of C and let C be the locus of points whose G-stabilizers have dimension > rk G. We prove that: (a) C is a nonempty subset of C; (b) codimCC irr = 5−max l(a) where the maximum is taken over all simple...
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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2019
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s1474748019000069