A1-connected components of ruled surfaces

被引：5

作者：

Balwe, Chetan ^{[1
]}

Sawant, Anand ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res, Dept Math Sci, Mohali, India

[2] Tata Inst Fundamental Res, Sch Math, Mumbai, Maharashtra, India

来源：

GEOMETRY & TOPOLOGY | 2022年 / 26卷 / 01期

关键词：

A(1)-HOMOTOPY;

D O I：

10.2140/gt.2022.26.321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A conjecture of Morel asserts that the sheaf of A(1)-connected components of a space is A(1)-invariant. Using purely algebrogeometric methods, we determine the sheaf of A(1)-connected components of a smooth projective surface, which is birationally ruled over a curve of genus > 0. As a consequence, we show that Morel's conjecture holds for all smooth projective surfaces over an algebraically closed field of characteristic 0.

引用

页码：321 / 376

页数：56

共 50 条

[41] Mannheim Offsets of Ruled Surfaces
Orbay, Keziban
Kasap, Emin
Aydemir, Ismail
MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
[42] Areas of existence of ruled surfaces
Salkov, N. A.
Ivanov, G. S.
Slavin, R. B.
MECHANICAL SCIENCE AND TECHNOLOGY UPDATE (MSTU 2019), 2019, 1260
[43] On Finite Morphisms of Ruled Surfaces
Yuko Homma
Geometriae Dedicata, 1999, 78 : 259 - 269
[44] The Quaternionic Expression of Ruled Surfaces
Senyurt, Suleyman
Caliskan, Abdussamet
FILOMAT, 2018, 32 (16) : 5753 - 5766
[45] Ruled surfaces and generic coverings
Manfredini, S.
Pignatelli, R.
TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (14) : 2613 - 2623
[46] Rational ruled surfaces and their offsets
Pottmann, H
Lu, W
Ravani, B
GRAPHICAL MODELS AND IMAGE PROCESSING, 1996, 58 (06): : 544 - 552
[47] On the construction of symmetric ruled surfaces
Emch, A
AMERICAN JOURNAL OF MATHEMATICS, 1937, 59 : 365 - 370
[48] Projective normality of ruled surfaces
Park, Euisung
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (03) : 839 - 847
[49] The intersection of two ruled surfaces
Heo, HS
Kim, MS
Elber, G
COMPUTER-AIDED DESIGN, 1999, 31 (01) : 33 - 50
[50] Kinematic Generation of Ruled Surfaces
Kenneth Sprott
Bahram Ravani
Advances in Computational Mathematics, 2002, 17 : 115 - 133

← 1 2 3 4 5 →