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121.
122.
We find all the arithmetically Gorenstein divisors on Fano varieties of dimension n and index r with 3 ≤ n ≤ 2r − 1 and ρ(Y) ≥ 2, where Y is smooth, connected, subcanonical and linearly normal.
相似文献
123.
J. M. Landsberg 《Journal of the American Mathematical Society》2006,19(2):447-459
We prove that the bilinear map corresponding to matrix multiplication of matrices is not the limit of a sequence of bilinear maps that can be executed by performing six multiplications. This solves a longstanding problem dating back to Strassen's discovery in 1968 that the map could be executed by performing seven multiplications.
124.
Yuri G. Zarhin 《Mathematische Zeitschrift》2006,253(3):537-554
Let ℓ be an odd prime. Let K be a field of characteristic zero with algebraic closure Ka. Let n, m ≥ 4 be integers that are not divisible by ℓ. Let f(x), h(x) ∈ K[x] be irreducible separable polynomials of degree n and m respectively. Suppose that the Galois group Gal(f) of f acts doubly transitively on the set of roots of f and that Gal(h) acts doubly transitively on as well. Let J(Cf,ℓ) and J(Ch,ℓ) be the Jacobians of the superelliptic curves Cf,ℓ:yℓ=f(x) and Ch,ℓ:yℓ=h(x) respectively. We prove that J(Cf,ℓ) and J(Ch,ℓ) are not isogenous over Ka if the splitting fields of f and h are linearly disjoint over K and K contains a primitive ℓth root of unity. 相似文献
125.
LetM, M′ be smooth, real analytic hypersurfaces of finite type in ℂn and
a holomorphic correspondence (not necessarily proper) that is defined on one side ofM, extends continuously up toM and mapsM to M′. It is shown that
must extend acrossM as a locally proper holomorphic correspondence. This is a version for correspondences of the Diederich-Pinchuk extension
result for CR maps. 相似文献
126.
For a complex semisimple Lie group and a real form we define a Poisson structure on the variety of Borel subgroups of with the property that all -orbits in as well as all Bruhat cells (for a suitable choice of a Borel subgroup of ) are Poisson submanifolds. In particular, we show that every non-empty intersection of a -orbit and a Bruhat cell is a regular Poisson manifold, and we compute the dimension of its symplectic leaves.
127.
In contrast to an infinite family of explicit examples of two-dimensional p-harmonic functions obtained by G. Aronsson in the late 80s, there is very little known about the higher-dimensional case. In this paper, we show how to use isoparametric polynomials to produce diverse examples of p-harmonic and biharmonic functions. Remarkably, for some distinguished values of p and the ambient dimension n this yields first examples of rational and algebraic p-harmonic functions. Moreover, we show that there are no p-harmonic polynomials of the isoparametric type. This supports a negative answer to a question proposed in 1980 by J. Lewis. 相似文献
128.
In a previous work, we described the Minimal Model Program in the family of Q-Gorenstein projective horospherical varieties, by studying certain continuous changes of moment polytopes of polarized horospherical varieties. Here, we summarize the results of the previous work and we explain how to generalize them in order to describe the Log Minimal Model Program for pairs(X, Δ) when X is a projective horospherical variety. 相似文献
129.
130.
Alberto Chiecchio 《代数通讯》2018,46(7):3047-3061
The aim of this work is to simplify the definitions related to the study of singularities of normal varieties initiated in [3] and [8]. We introduce a notion of discrepancy for normal varieties, and we define log terminal+ singularities. We use finite generation to relate these new singularities with log terminal singularities (in the sense of [3]). 相似文献