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Journal of K-Theory最新文献

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Prime Ideals of Mixed Artin-Tate Motives 混合艺术-泰特动机的基本理想
Journal of K-Theory Pub Date : 2013-04-01 DOI: 10.1017/IS013001031JKT215
T. J. Peter
{"title":"Prime Ideals of Mixed Artin-Tate Motives","authors":"T. J. Peter","doi":"10.1017/IS013001031JKT215","DOIUrl":"https://doi.org/10.1017/IS013001031JKT215","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"35 1","pages":"331-349"},"PeriodicalIF":0.0,"publicationDate":"2013-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91335689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 17
Central simple algebras of prime exponent and divided power operations 质指数和除幂运算的中心简单代数
Journal of K-Theory Pub Date : 2013-02-01 DOI: 10.1017/IS013001008JKT197
A. S. Sivatski
{"title":"Central simple algebras of prime exponent and divided power operations","authors":"A. S. Sivatski","doi":"10.1017/IS013001008JKT197","DOIUrl":"https://doi.org/10.1017/IS013001008JKT197","url":null,"abstract":"Let p be a prime, F a field of characteristic different from p. We prove triviality of the divided power operations on central simple cyclic algebras of exponent p.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"11 1","pages":"113-123"},"PeriodicalIF":0.0,"publicationDate":"2013-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013001008JKT197","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56667438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
K 1 of Exact Categories by Mirror Image Sequences 基于镜像序列的精确范畴的k1
Journal of K-Theory Pub Date : 2013-02-01 DOI: 10.1017/IS012003019JKT187
C. Sherman
{"title":"K 1 of Exact Categories by Mirror Image Sequences","authors":"C. Sherman","doi":"10.1017/IS012003019JKT187","DOIUrl":"https://doi.org/10.1017/IS012003019JKT187","url":null,"abstract":"We establish a presentation for K 1 of any small exact category P , based on the notion of “mirror image sequence,” originally introduced by Grayson in 1979; as part of the proof, we show that every element of K 1 ( P ) arises from a mirror image sequence. This provides an alternative to Nenashev's presentation in terms of “double short exact sequences.”","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"11 1","pages":"155-181"},"PeriodicalIF":0.0,"publicationDate":"2013-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS012003019JKT187","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56666794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Raman and Photoluminescence Spectroscopic Study of 1-Undecene Functionalized Nanodiamonds 1-十一烯功能化纳米金刚石的拉曼光谱和光致发光光谱研究
Journal of K-Theory Pub Date : 2013-01-01 DOI: 10.1557/OPL.2013.1189
Y. Astuti, N. Poolton, L. Šiller
{"title":"Raman and Photoluminescence Spectroscopic Study of 1-Undecene Functionalized Nanodiamonds","authors":"Y. Astuti, N. Poolton, L. Šiller","doi":"10.1557/OPL.2013.1189","DOIUrl":"https://doi.org/10.1557/OPL.2013.1189","url":null,"abstract":"Nanodiamond holds great interest in a variety of optical applications, the properties being correlated with surface modification, and the presence of both impurities and defects (contained either on their surface or within the crystal structure). Undecyl-nanodiamond produced by attachment of 1-undecene onto the nanodiamond surface could be a good candidate as a luminescent marker in the future; therefore, understanding of its optical properties is essential. In this work, the optical properties of the acid-purified nanodiamond and undecyl-nanodiamond were characterised using surface enhanced Raman spectroscopy (SERS) and photoluminescence spectroscopy. The results demonstrate that the characteristic diamond Raman signal at 1330 cm -1 was still observed after chemical surface modification, while the signal at ~1600 cm -1 (attributed to graphite bands) disappeared after the modification. Broad photoluminescence emission is detected in the range 1.5-2.5 eV (500-800 nm), as typically found for isolated nanodiamond; these emission bands became narrower with attachment of 1-undecene as compared to the sample without surface functionalisation. The observed emission could be related to structural disorder on the nanodiamond surface. The temperature dependence of the intensity, peak position and band widths of each sample has been characterised.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"1597 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1557/OPL.2013.1189","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67107924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Orderings and signatures of higher level on multirings and hyperfields 多环和超域上的高阶序与签名
Journal of K-Theory Pub Date : 2012-12-01 DOI: 10.1017/IS012004021JKT189
Paweł Gładki, M. Marshall
{"title":"Orderings and signatures of higher level on multirings and hyperfields","authors":"Paweł Gładki, M. Marshall","doi":"10.1017/IS012004021JKT189","DOIUrl":"https://doi.org/10.1017/IS012004021JKT189","url":null,"abstract":"Multirings are objects like rings but with multi-valued addition. In the present paper we extend results of E. Becker and others concerning orderings of higher level on fields and rings to orderings of higher level on hyperfields and multirings and, in the process of doing this, we establish higher level analogs of the results previously obtained by the second author. In particular, we introduce a class of multirings called l-real reduced multirings, define a natural reflection A ⇝ Q l-red ( A ) from the category of multirings satisfying to the full subcategory of l-real reduced multirings, and provide an elementary first-order description of these objects. The relationship between l-real reduced hyperfields and the spaces of signatures defined by Mulcahy and Powers is also examined.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"1 1","pages":"489-518"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS012004021JKT189","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56666814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
K 1 ( ) and the group of automorphisms of the algebra of one-sided inverses of a polynomial algebra in two variables k1()和二元多项式代数单侧逆代数的自同构群
Journal of K-Theory Pub Date : 2012-12-01 DOI: 10.1017/IS012004021JKT190
V. Bavula
{"title":"K 1 ( ) and the group of automorphisms of the algebra of one-sided inverses of a polynomial algebra in two variables","authors":"V. Bavula","doi":"10.1017/IS012004021JKT190","DOIUrl":"https://doi.org/10.1017/IS012004021JKT190","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"10 1","pages":"583-601"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS012004021JKT190","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56666826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the conjectural Leibniz cohomology for groups 关于群的推测莱布尼茨上同调
Journal of K-Theory Pub Date : 2012-11-30 DOI: 10.1017/IS011011011JKT195
Simon Covez
{"title":"On the conjectural Leibniz cohomology for groups","authors":"Simon Covez","doi":"10.1017/IS011011011JKT195","DOIUrl":"https://doi.org/10.1017/IS011011011JKT195","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"29 1","pages":"519-563"},"PeriodicalIF":0.0,"publicationDate":"2012-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74047302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Cyclic homology, Serre's local factors and the -operations 循环同调，Serre的局部因子和-运算
Journal of K-Theory Pub Date : 2012-11-18 DOI: 10.1017/IS014006012JKT270
A. Connes, C. Consani
{"title":"Cyclic homology, Serre's local factors and the -operations","authors":"A. Connes, C. Consani","doi":"10.1017/IS014006012JKT270","DOIUrl":"https://doi.org/10.1017/IS014006012JKT270","url":null,"abstract":"We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ringA∞ = Q ν|∞ Kν, provides the right theory to obtain, using the λ-operations, Serre’s archimedean local factors of the complex Lfunction of X as regularized determinants. Contents","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"14 1","pages":"1-45"},"PeriodicalIF":0.0,"publicationDate":"2012-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS014006012JKT270","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56668763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 25
An additive variant of Somekawa's K-groups and Kähler differentials Somekawa的k群和Kähler微分的加性变体
Journal of K-Theory Pub Date : 2012-08-31 DOI: 10.1017/IS014003007JKT257
Toshiro Hiranouchi
{"title":"An additive variant of Somekawa's K-groups and Kähler differentials","authors":"Toshiro Hiranouchi","doi":"10.1017/IS014003007JKT257","DOIUrl":"https://doi.org/10.1017/IS014003007JKT257","url":null,"abstract":"We introduce a Milnor type $K$-group associated to commutative algebraic groups over a perfect field. It is an additive variant of Somekawa's $K$-group. We show that the $K$-group associated to the additive group and $q$ multiplicative groups of a field is isomorphic to the space of absolute Kahler differentials of degree $q$ of the field, thus giving us a geometric interpretation of the space of absolute Kahler differentials. We also show that the $K$-group associated to the additive group and Jacobian variety of a curve is isomorphic to the homology group of a certain complex.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"2019 1","pages":"481-516"},"PeriodicalIF":0.0,"publicationDate":"2012-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS014003007JKT257","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56668146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Hochster's theta pairing and numerical equivalence 霍赫斯特配对和数值等价
Journal of K-Theory Pub Date : 2012-08-30 DOI: 10.1017/IS014006030JKT273
Hailong Dao, Kazuhiko Kurano
{"title":"Hochster's theta pairing and numerical equivalence","authors":"Hailong Dao, Kazuhiko Kurano","doi":"10.1017/IS014006030JKT273","DOIUrl":"https://doi.org/10.1017/IS014006030JKT273","url":null,"abstract":"Let ( A , ) be a local hypersurface with an isolated singularity. We show that Hochster's theta pairing θ A vanishes on elements that are numerically equivalent to zero in the Grothendieck group of A under the mild assumption that Spec A admits a resolution of singularities. This extends a result by Celikbas-Walker. We also prove that when dim A = 3, Hochster's theta pairing is positive semi-definite. These results combine to show that the counter-example of Dutta-Hochster-McLaughlin to the general vanishing of Serre's intersection multiplicity exists for any three dimensional isolated hypersurface singularity that is not a UFD and has a desingularization. We also show that, if A is three dimensional isolated hypersurface singularity that has a desingularization, the divisor class group is finitely generated torsion-free. Our method involves showing that θ A gives a bivariant class for the morphism Spec ( A / ) → Spec A .","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"14 1","pages":"495-525"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS014006030JKT273","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56668845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
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