scholarly journals Isometries of Ideal Lattices and Hyperkähler Manifolds

2015 ◽  
Vol 2016 (4) ◽  
pp. 963-977 ◽  
Author(s):  
Samuel Boissière ◽  
Chiara Camere ◽  
Giovanni Mongardi ◽  
Alessandra Sarti
Keyword(s):  
Ideal Lattices ◽  
Hyperkähler Manifolds

scholarly journals Contraction centers in families of hyperkähler manifolds

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Ekaterina Amerik ◽  
Misha Verbitsky
Keyword(s):  
Hyperkähler Manifolds

scholarly journals Mildly Short Vectors in Cyclotomic Ideal Lattices in Quantum Polynomial Time

2021 ◽  
Vol 68 (2) ◽  
pp. 1-26
Author(s):  
Ronald Cramer ◽  
Léo Ducas ◽  
Benjamin Wesolowski
Keyword(s):  
Polynomial Time ◽  
Ideal Lattices ◽  
Quantum Polynomial

scholarly journals Counting Bounded Elements of a Number Field

2020 ◽  
Author(s):  
Mikołaj Fraczyk ◽  
Gergely Harcos ◽  
Péter Maga
Keyword(s):  
Group Theory ◽  
Number Field ◽  
Geometry Of Numbers ◽  
Combine Group ◽  
Successive Minima ◽  
Ideal Lattices ◽  
Linearly Independent ◽  
Ramification Theory

Abstract We estimate, in a number field, the number of elements and the maximal number of linearly independent elements, with prescribed bounds on their valuations. As a by-product, we obtain new bounds for the successive minima of ideal lattices. Our arguments combine group theory, ramification theory, and the geometry of numbers.

Morita invariants of semirings

2015 ◽  
Vol 15 (02) ◽  
pp. 1650023 ◽  
Author(s):  
Sujit Kumar Sardar ◽  
Sugato Gupta
Keyword(s):  
Morita Equivalence ◽  
Ideal Lattices ◽  
Congruence Lattices

In this paper we revisit that ideal lattices and congruence lattices are preserved by Morita equivalence of semirings which is originally obtained implicitly by Katsov and his co-authors. This is then used to obtain some Morita invariants for semirings.

scholarly journals Well-rounded twists of ideal lattices from real quadratic fields

2019 ◽  
Vol 196 ◽  
pp. 168-196 ◽  
Author(s):  
Mohamed Taoufiq Damir ◽  
David Karpuk
Keyword(s):  
Quadratic Fields ◽  
Real Quadratic Fields ◽  
Ideal Lattices ◽  
Real Quadratic
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