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Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial最新文献

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On plane conic arrangements with nodes and tacnodes 平面上有节点和节点的圆锥排列
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2021-08-09 DOI: 10.2140/iig.2022.19.47
A. Dimca, Marek Janasz, Piotr Pokora
{"title":"On plane conic arrangements with nodes and tacnodes","authors":"A. Dimca, Marek Janasz, Piotr Pokora","doi":"10.2140/iig.2022.19.47","DOIUrl":"https://doi.org/10.2140/iig.2022.19.47","url":null,"abstract":"In the present paper, we study arrangements of smooth plane conics having only nodes and tacnodes as the singularities. We provide an interesting estimation on the number of nodes and tacnodes that depends only on a linear function of the number of conics. Based on that result, we obtain a new upper bound on the number of tacnodes which turns out to be better than Miyaoka’s bound for a large enough number of conics. We also study the freeness and nearly freeness of such arrangements providing a detailed description.","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133520334","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: 6
Chamber graphs of some geometries that are almost buildings 一些几乎是建筑物的几何图形的室内图
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2019-10-09 DOI: 10.2140/IIG.2019.17.189
Veronica Kelsey, P. Rowley
{"title":"Chamber graphs of some geometries that are almost buildings","authors":"Veronica Kelsey, P. Rowley","doi":"10.2140/IIG.2019.17.189","DOIUrl":"https://doi.org/10.2140/IIG.2019.17.189","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126303651","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
Groups of compact 8-dimensional planes: conditions implying the Lie property 紧致的8维平面群:暗示李氏性质的条件
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2019-10-09 DOI: 10.2140/iig.2019.17.201
H. Salzmann
{"title":"Groups of compact 8-dimensional planes: conditions implying the Lie property","authors":"H. Salzmann","doi":"10.2140/iig.2019.17.201","DOIUrl":"https://doi.org/10.2140/iig.2019.17.201","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130975852","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
Conics in Baer subplanes 贝尔子平面中的圆锥曲线
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2019-03-14 DOI: 10.2140/IIG.2019.17.85
S. G. Barwick, Wen-Ai Jackson, P. Wild
{"title":"Conics in Baer subplanes","authors":"S. G. Barwick, Wen-Ai Jackson, P. Wild","doi":"10.2140/IIG.2019.17.85","DOIUrl":"https://doi.org/10.2140/IIG.2019.17.85","url":null,"abstract":"This article studies conics and subconics of $PG(2,q^2)$ and their representation in the Andr'e/Bruck-Bose setting in $PG(4,q)$. In particular, we investigate their relationship with the transversal lines of the regular spread. The main result is to show that a conic in a tangent Baer subplane of $PG(2,q^2)$ corresponds in $PG(4,q)$ to a normal rational curve that meets the transversal lines of the regular spread. Conversely, every 3 and 4-dimensional normal rational curve in $PG(4,q)$ that meets the transversal lines of the regular spread corresponds to a conic in a tangent Baer subplane of $PG(2,q^2)$.","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"83 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114333868","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
A new family of 2-dimensional Laguerre planesthat admit PSL2(ℝ) × ℝ as a group of automorphisms 一个新的二维lagerre平面族，其承认PSL2(x)是一组自同构
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2019-01-01 DOI: 10.2140/IIG.2019.17.53
Günter F. Steinke
{"title":"A new family of 2-dimensional Laguerre planes\u0000that admit PSL2(ℝ) × ℝ as a group of automorphisms","authors":"Günter F. Steinke","doi":"10.2140/IIG.2019.17.53","DOIUrl":"https://doi.org/10.2140/IIG.2019.17.53","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130935920","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: 0
Ruled quintic surfaces in PG(6,q) PG(6,q)中的直纹五次曲面
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2019-01-01 DOI: 10.2140/IIG.2019.17.25
S. G. Barwick
{"title":"Ruled quintic surfaces in PG(6,q)","authors":"S. G. Barwick","doi":"10.2140/IIG.2019.17.25","DOIUrl":"https://doi.org/10.2140/IIG.2019.17.25","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121968626","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
Sur les R-espaces 关于r空间
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/iig.2018.16.59
J. Tits
{"title":"Sur les R-espaces","authors":"J. Tits","doi":"10.2140/iig.2018.16.59","DOIUrl":"https://doi.org/10.2140/iig.2018.16.59","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"1998 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132476513","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
Groupes algébriques simples sur un corpslocal : cohomologie galoisienne, décompositions d’Iwasawa et de Cartan 局部域上的简单代数群:伽罗瓦上同调，iwasawa和Cartan的分解
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.219
F. Bruhat, J. Tits
{"title":"Groupes algébriques simples sur un corps\u0000local : cohomologie galoisienne, décompositions d’Iwasawa et de Cartan","authors":"F. Bruhat, J. Tits","doi":"10.2140/IIG.2018.16.219","DOIUrl":"https://doi.org/10.2140/IIG.2018.16.219","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131389602","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
Avatars des grands théorèmes de classificationd’Élie Cartan elie Cartan的伟大分类定理的化身
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/iig.2018.16.283
J. Tits
{"title":"Avatars des grands théorèmes de classification\u0000d’Élie Cartan","authors":"J. Tits","doi":"10.2140/iig.2018.16.283","DOIUrl":"https://doi.org/10.2140/iig.2018.16.283","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115209787","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: 0
Séminaire sur les algèbres de Banach 巴拿赫代数研讨会
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.339
J. Tits
{"title":"Séminaire sur les algèbres de Banach","authors":"J. Tits","doi":"10.2140/IIG.2018.16.339","DOIUrl":"https://doi.org/10.2140/IIG.2018.16.339","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"258 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121300912","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: 0
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