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20212025
most citedSteinberg symbols and reciprocity sheaves

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

cs.LG2025

Hybrid quantum recurrent neural network for remaining useful life prediction of turbofan engines

Olga Tsurkan, Aleksandra Konstantinova, Arsenii Senokosov +2

Accurate remaining useful life (RUL) estimation underpins safe operation and cost-effective maintenance of aerospace propulsion systems. We propose a Hybrid Quantum Recurrent Neura…

math.AG2023

Blow-up invariance of cohomology theories with modulus

Junnosuke Koizumi

In this paper, we study cohomology theories of -modulus pairs, which are pairs consisting of a scheme and a -divisor . Our main theorem prov…

math.AG2023

A motivic construction of the de Rham-Witt complex

Junnosuke Koizumi, Hiroyasu Miyazaki

The theory of reciprocity sheaves due to Kahn-Saito-Yamazaki is a powerful framework to study invariants of smooth varieties via invariants of pairs of a variety and a…

math.AG2021

Transfers on commutative group schemes

Junnosuke Koizumi

We prove that any commutative group scheme separated over a noetherian normal scheme admits a canonical structure of a presheaf with transfers, which is characterized by a simple c…

math.AG2021★ 1 cited

Steinberg symbols and reciprocity sheaves

Junnosuke Koizumi

We study multilinear symbols on fields taking values in reciprocity sheaves. We prove that any such symbol satisfying natural axioms automatically has Steinberg-type relations, whi…

math.AG2021

Zeroth -homology of smooth proper varieties

Junnosuke Koizumi

We give an explicit formula for the zeroth -homology sheaf of a smooth proper variety. We also provide a simple proof of a theorem of Kahn-Sujatha which describes hom…