Katsumi Shimomura

Available identifiers

zbMath Open shimomura.katsumiMaRDI QIDQ422132

List of research outcomes

Publication	Date of Publication	Type
Beta families arising from a \(v_2^9\) self-map on \(S/(3, v_1^8)\)	2023-12-11	Paper
On products of beta and gamma elements in the homotpy of the first Smith-Toda spectrum	2022-09-04	Paper
A relation among Hopkins’ Picard groups of the localized categories with respect to finite wedges of the Morava 𝐾-theories	2022-08-31	Paper
On the Picard group graded homotopy groups of a finite type two \(K(2)\)-local spectrum at the prime three	2022-06-03	Paper
Generalized Moore spectra and Hopkins' Picard groups for a smaller chromatic level	2021-11-05	Paper
https://portal.mardi4nfdi.de/entity/Q5140928	2020-12-17	Paper
Notes on an Algebraic Stable Homotopy Category	2020-10-16	Paper
A note on the products \(\alpha_1\beta_2\gamma_t\) and \(\beta_1^{r+1}\beta_2\gamma_t\) in the stable homotopy of spheres	2020-03-12	Paper
A note on Hopkins' Picard groups of the stable homotopy categories of \(L_n\)-local spectra	2020-02-26	Paper
Generalized Bousfield lattices and a generalized retract conjecture	2014-11-21	Paper
A beta family in the homotopy of spheres	2014-09-12	Paper
https://portal.mardi4nfdi.de/entity/Q2874821	2014-08-12	Paper
On the homotopy groups of E(n)-local spectra with unusual invariant ideals	2013-02-14	Paper
The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime	2012-09-12	Paper
https://portal.mardi4nfdi.de/entity/Q2906880	2012-09-05	Paper
The homotopy groups of \(L_2\)-localization of the Ravenel spectra \(T(m)/\upsilon_1\) at the prime two	2012-05-30	Paper
Products of Greek letter elements dug up from the third Morava stabilizer algebra	2012-05-16	Paper
On the chromatic Ext\(^0(M^1_{n-1})\) on \(\Gamma(m+1)\) for an odd prime	2011-10-11	Paper
The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres	2010-11-02	Paper
Note on beta elements in homotopy, and an application to the prime three case	2010-04-13	Paper
THE HOMOTOPY GROUPS OF THE L2-LOCALIZATION OF THE MODULO p MOORE SPECTRUM SMASHING WITH THE FIRST RAVENEL SPECTRUM	2010-04-08	Paper
On subgroups of \(\pi_*(L_2T(1)\wedge M(2))\) at the prime two	2009-04-21	Paper
https://portal.mardi4nfdi.de/entity/Q5505809	2009-01-28	Paper
Picard groups of some local categories	2007-11-09	Paper
Homotopy groups of generalized \(E(2)\)-local Moore spectra at the prime three	2005-08-23	Paper
https://portal.mardi4nfdi.de/entity/Q4656993	2005-03-14	Paper
Subgroups of \(\pi_* (L_2T(1))\) at the prime two	2004-12-29	Paper
𝐸(2)-invertible spectra smashing with the Smith-Toda spectrum 𝑉(1) at the prime 3	2004-08-13	Paper
https://portal.mardi4nfdi.de/entity/Q4470304	2004-06-22	Paper
https://portal.mardi4nfdi.de/entity/Q4788846	2003-06-17	Paper
The homotopy groups \(\pi_*(L_2V(0) \wedge T(k))\)	2003-02-06	Paper
The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3	2002-12-02	Paper
The Adams-Novikov \(E_2\)-term for \(\pi_*(L_2S^0)\) at the prime 2	2002-12-01	Paper
On the action of \(\beta_1\) in the stable homotopy of spheres at the prime 3	2002-11-13	Paper
https://portal.mardi4nfdi.de/entity/Q3147714	2002-10-31	Paper
The homotopy groups of the \(L_2\)-localized mod 3 Moore spectrum	2000-10-23	Paper
https://portal.mardi4nfdi.de/entity/Q4485066	2000-10-18	Paper
The Adams-Novikov \(E_2\)-term for computing \(\pi_*(L_2 V(0))\) at the prime 2	2000-02-21	Paper
The homotopy groups of an \(L_2\)-localized type one finite spectrum at the prime 2	1998-10-18	Paper
On products of some \(\beta\)-elements in the homotopy of the \(\mod 3\) Moore spectrum	1998-02-11	Paper
https://portal.mardi4nfdi.de/entity/Q4344951	1998-02-08	Paper
3-primary \(\beta\)-family in stable homotopy of a finite spectrum	1997-08-28	Paper
The chromatic \(E_ 1\)-term \(H^ 1M_ 1^ 1\) at the prime 3	1997-08-28	Paper
The products \(\beta_ s\beta_{tp}/p\) in the stable homotopy of \(L_ 2\)-localized spheres	1997-05-25	Paper
https://portal.mardi4nfdi.de/entity/Q4857939	1997-05-25	Paper
The homotopy groups of the 𝐿₂-localized Toda-Smith spectrum 𝑉(1) at the prime 3	1997-05-13	Paper
https://portal.mardi4nfdi.de/entity/Q4305864	1997-05-12	Paper
On some products of \(\beta\)-elements in the stable homotopy of \(L_ 2\)-local spheres	1997-04-07	Paper
The homotopy groups of a spectrum whose \(BP_ *\)-homology is \(v_ 2^{-1} BP_ * I(2,v_ 1^ \infty)[t_ 1\otimes \Lambda(t_ 2)\)]	1996-07-14	Paper
The homotopy groups of the L 2-localized Mahowald spectrum X<1>	1996-04-16	Paper
The homotopy groups \(\pi_ * (L_ 2 S^ 0)\)	1996-03-07	Paper
An exact sequence related to Adams-Novikov \(E_ 2\)-terms of a cofibering	1995-07-31	Paper
https://portal.mardi4nfdi.de/entity/Q4288649	1995-04-17	Paper
Existence of the Greek letter elements in the stable homotopy groups of \(E(n)_ *\)-localized spheres	1994-09-27	Paper
https://portal.mardi4nfdi.de/entity/Q4278114	1994-07-20	Paper
A spectrum whose \(BP_ *\)-homology is \((BP_ *\slash{}I_ 5)[t_ 1\)]	1992-09-27	Paper
On the products \(\beta_ s\beta_ t\) in the stable homotopy groups of spheres	1989-01-01	Paper
Triviality of products of \(\beta\)-elements in the stable homotopy group of spheres	1989-01-01	Paper
Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres	1987-01-01	Paper
On the Adams-Novikov spectral sequence and products of \(\beta\)-elements	1986-01-01	Paper
Non-triviality of some compositions of \(\beta\)-elements in the stable homotopy of the Moore spaces	1986-01-01	Paper
BP-Hopf module spectrum and \(BP_ *\)-Adams spectral sequence	1986-01-01	Paper
On products of the beta-elements in the stable homotopy of spheres	1982-01-01	Paper
Novikov's \(Ext^ 2\) at the prime 2	1981-01-01	Paper
KO-groups of lens spaces modulo powers of two	1978-01-01	Paper

Research outcomes over time

Doctoral students

No records found.

Known relations from the MaRDI Knowledge Graph

Property	Value
MaRDI profile type	MaRDI person profile
instance of	human

This page was built for person: Katsumi Shimomura