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商洛学院数学与计算机应用学院初等数论课件Chapter 2 The Ring of Integers Modulon
商洛学院数学与计算机应用学院 初等数论 课件 Chapter 2 The Ring of Integers Modulon
2017/4/7
商洛学院数学与计算机应用学院初等数论课件Chapter 2 The Ring of Integers Modulon.
ZETA FUNCTIONS, GROTHENDIECK GROUPS, AND THE WITT RING
ZETA FUNCTIONS GROTHENDIECK GROUPS
2015/12/10
After preliminary definitions and a review (in the first section) of the basic structures (such as
Frobenius Fm and Verschiebung Vm) of the Witt ring W(R) of a ring R, we present our main...
Motivic complexes over finite fields and the ring of correspondences at the generic point
fi nite fi elds generic point
2015/12/10
Already in the 1960s Grothendieck understood that one could obtain an almost
entirely satisfactory theory of motives over a finite field when one assumes the Tate
conjecture. In this not...
THE RING OF PROJECTIVE INVARIANTS OF EIGHT POINTS ON THE LINE VIA REPRESENTATION THEORY
PROJECTIVE INVARIANTS EIGHT POINTS ON THE LINE VIA
2015/10/14
The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE
RELATIONS FOR THE RING INVARIANTS OF n POINTS THE LINE
2015/10/14
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point...
The ring of projective invariants of n ordered points on the projective line is one of the most
basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the poin...
The moduli space of curves has proven itself a central object in geometry. The past
decade has seen substantial progress in understanding the moduli space of curves, involving ideas, for example, fro...
On the graded quotients of the ring of Fricke characters of a free group
Ring of Fricke characters Automorphism groups of free groups Andreadakis-Johnson filtration
2012/6/27
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descendin...
An Inhomogeneous Multispecies TASEP on a Ring
Inhomogeneous Multispecies TASEP Ring Probability
2012/6/14
We reinterpret and generalize conjectures of Lam and Williams as statements about the stationary distribution of a multispecies exclusion process on the ring. The central objects in our study are the ...
Pairing-based algorithms for jacobians of genus 2 curves with maximal endomorphism ring
Pairing-based algorithms jacobians of genus 2 curves maximal endomorphism ring Number Theory
2012/4/17
Using Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the $\ell$-Tate pairing in terms of the action of the Frobenius on the $\ell$-torsion of the Jacobian of a ge...
Not every object in the derived category of a ring is Bousfield equivalent to a module
Not every object derived category ring Bousfield equivalent module
2012/3/1
We consider the derived category of a specific non-Noetherian ring \Lambda, and show that there are objects in D(\Lambda) that are not Bousfield equivalent to any module. This answers a question posed...
A universal first order formula defining the ring of integers in a number field
universal first order formula defining ring integers number field
2012/3/1
We show that the complement of the ring of integers in a number field K is Diophantine. This means the set of ring of integers in K can be written as {t in K | for all x_1, ..., x_N in K, f(t,x_1, ......
The canonical ring of a 3-connected curve
algebraic curve Noether’s theorem canonical ring
2011/9/22
Abstract: Let C be a Gorenstein curve which is either reduced or contained in a smooth algebraic surface. We show that the canonical ring R(C, \omega_C)=\oplus_{k \geq 0} H^0(C, \omega_C^k) is generat...
On the derived category of a graded commutative noetherian ring
Localizing subcategories graded ring weighted projective scheme
2011/9/20
Abstract: For any graded commutative noetherian ring, where the grading group is abelian and where commutativity is allowed to hold in a quite general sense, we establish an inclusion-preserving bijec...