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Algebraic structure and characteristic ideals of fine Mordell-Weil groups and plus/minus Mordell-Weil groups

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (1)

Given an elliptic curve defined over a number field F, we study the algebraic structure and prove a control theorem for Wuthrich's fine Mordell-Weil g......

Based modules over the iquantum group of type AI

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (2)

This paper studies classical weight modules over the i quantum group U-i of type AI. We introduce the notion of based U-i-modules by generalizing the ......

K-stability of Fano threefolds of rank 2 and degree 14 as double covers

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (2)

We prove that every smooth Fano threefold from the family No2.8 is K-stable. Such a Fano threefold is a double cover of the blow-up of P3 at one point......

On the Hessian-cscK equations

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (2)

In this paper, we propose a coupled system of complex Hessian equations which generalizes the equation for constant scalar curvature Kahler (cscK) met......

A Kawamata-Viehweg type formulation of the logarithmic Akizuki-Nakano vanishing theorem

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (4)

In this article, we present a Kawamata-Viehweg type formulation of the (logarithmic) Akizuki-Nakano Vanishing Theorem. We give two proofs: one by redu......

Parseval frames from compressions of Cuntz algebras

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 304 (1)

A row co-isometry is a family (V-i)(i=0)(N-1) of operators on a Hilbert space, subject to the relation Sigma(N- 1)(i=0) ViV* (i) = I. As shown in Brat......

Nodal quintic del Pezzo threefolds and their derived categories

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 304 (3)

We construct a Kawamata type semiorthogondal decomposition for the bounded derived category of coherent sheaves of nodal quintic del Pezzo threefolds,......

Berkovich dynamics of Newton maps

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 304 (4)

Let L be the completion of the formal Puiseux series over C, and let P-1 be the Berkovich space over L. We study the dynamics of Newton maps, defined ......

On the blow-up of a normal singularity at maximal Cohen-Macaulay modules

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (1)

In Raynaud and Gruson (Invent Math 13:1-89, 1971) and Raynaud (Compos Math 24:11-31, 1972) developed the theory of blowing-up an algebraic variety X a......

Typical coexistence of infinitely many strange attractors

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (2)

We prove that the coexistence of infinitely many prevalent Henon-like phenomena is Kolmogorov typical in sectional dissipative C-d,C-r-Berger domains ......

Kahler manifolds and the curvature operator of the second kind

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 303 (4)

This article aims to investigate the curvature operator of the second kind on Kahler manifolds. The first result states that an m-dimensional Kahler m......

On Abel-Jacobi maps of Lagrangian families

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 304 (2)

We study in this article the cohomological properties of Lagrangian families on projective hyper-Kahler manifolds. First, we give a criterion for the ......

Endpoint sparse domination for classes of multiplier transformations

期刊: MATHEMATISCHE ZEITSCHRIFT, 2023; 305 (1)

We prove endpoint results for sparse domination of translation invariant multiscale operators. The results are formulated in terms of dilation invaria......

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