نتایج جستجو برای: cartier operator
تعداد نتایج: 94664 فیلتر نتایج به سال:
In this study, we give an alternative and elementary proof to Tsuji’s criterion for a Cartier divisor be numerically trivial.
2.1 Dimension and codimension . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 Cycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Dimension relative to a base . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Cartier divisors . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
In this paper we obtain the Cartier duality for k-schemes of commutative monoids functorially without providing the vector spaces of functions with a topology (as in [DGr, Exposé VIIB by P. Gabriel, 2.2.1]), generalizing a result for finite commutative algebraic groups by M. Demazure & P. Gabriel ([DG, II, §1, 2.10]). All functors we consider are functors defined over the category of commutativ...
1.1. Crash course in blowing up. Last time I began to talk about blowing up. Let X be a scheme, and I ⊂ OX a sheaf of ideals on X. (Technical requirement automatically satisfied in our situation: I should be a coherent sheaf, i.e. finitely generated.) Here is the “universal property” definition of blowing-up. Then the blow-up of OX along I is a morphism π : X̃ → X satisfying the following univer...
Dionne S Kringos ([email protected]) Wienke GW Boerma ([email protected]) Yann Bourgueil ([email protected]) Thomas Cartier ([email protected]) Toralf Hasvold ([email protected]) Allen Hutchinson ([email protected]) Margus Lember ([email protected]) Marek Oleszczyk ([email protected]) Danica Rotar Pavlic ([email protected]) Igor Svab ([email protected]) Pa...
In general, this bound is sharp. In fact if q is a square, there exist several curves that attain the above upper bound (see [4], [5], [14] and [23]). We say a curve is maximal (resp. minimal) if it attains the above upper (resp. lower) bound. There are however situations in which the bound can be improved. For instance, if q is not a square there is a non-trivial improvement due to Serre (see ...
Generalizing cones over projective toric varieties, we present arbitrary toric varieties as quotients of quasiaffine toric varieties. Such quotient presentations correspond to groups of Weil divisors generating the topology. Groups comprising Cartier divisors define free quotients, whereas Q-Cartier divisors define geometric quotients. Each quotient presentation yields homogeneous coordinates. ...
Earlier we defined the class group ClX of Weil divisors for an algebraic varietyX and the Cartier class group CaClX of Cartier divisors (which is isomorphic to the Picard group of isomorphism classes of line bundles with tensor product). These groups are isomorphic when X is smooth. In general it is quite difficult to compute these groups. In this section we will give some classic examples with...
نمودار تعداد نتایج جستجو در هر سال
با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید