منابع مشابه
Tautological Pairings on Moduli Spaces of Curves
We discuss analogs of Faber’s conjecture for two nested sequences of partial compactifications of the moduli space of smooth curves. We show that their tautological rings are one-dimensional in top degree but do not satisfy Poincaré duality. The structure of the tautological ring of the moduli space of stable curves is predicted by the Faber conjecture, which states that R(Mg,n) is Gorenstein w...
متن کاملHopf Pairings and Induction Functors over Rings
The so called induction functors appear in several areas of Algebra in different forms. Interesting examples are the induction functors in the Theory of Affine Algebraic groups. In this note we investigate the so called Hopf pairings (bialgebra pairings) and use them to study induction functors for affine group schemes over arbitrary commutative ground rings. We present also a special type of H...
متن کاملOn the Linear Weak Topology and Dual Pairings over Rings
In this note we study the weak topology on paired modules over a (not necessarily commutative) ground ring. Over QF rings we are able to recover most of the well known properties of this topology in the case of commutative base fields. The properties of the linear weak topology and the dense pairings are then used to characterize pairings satisfying the so called α-condition.
متن کاملPairings on Elliptic Curves over Finite Commutative Rings
The Weil and Tate pairings are defined for elliptic curves over fields, including finite fields. These definitions extend naturally to elliptic curves over Z/NZ , for any positive integer N , or more generally to elliptic curves over any finite commutative ring, and even the reduced Tate pairing makes sense in this more general setting. This paper discusses a number of issues which arise if one...
متن کاملThe Tautological Rings of the Moduli Spaces of Stable Maps
We study the tautological rings of the moduli spaces of genus zero stable maps. We show that the rational cohomology of the genus zero stable map spaces to SL flag varieties is entirely tautological. We also discuss the cohomology classes on the space of marked rational irreducible maps to P. The moduli spaces of stable maps received a lot of attention in the past decade due to their relevance ...
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ژورنال
عنوان ژورنال: Épijournal de Géométrie Algébrique
سال: 2019
ISSN: 2491-6765
DOI: 10.46298/epiga.2019.volume3.3784