Volume 26, issue 1 (2022)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 29
Issue 2, 549–862
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
$\mathbb A^{1}$–connected components of ruled surfaces

Chetan Balwe and Anand Sawant

Geometry & Topology 26 (2022) 321–376
DOI: 10.2140/gt.2022.26.321
Bibliography
1 M Artin, Some numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math. 84 (1962) 485 MR146182
2 A Asok, F Morel, Smooth varieties up to 𝔸1–homotopy and algebraic h–cobordisms, Adv. Math. 227 (2011) 1990 MR2803793
3 C Balwe, A Hogadi, A Sawant, 𝔸1–connected components of schemes, Adv. Math. 282 (2015) 335 MR3374529
4 C Balwe, A Sawant, R–equivalence and 𝔸1–connectedness in anisotropic groups, Int. Math. Res. Not. 2015 (2015) 11816 MR3456703
5 C Balwe, A Sawant, Naive 𝔸1–homotopies on ruled surfaces, preprint (2020) arXiv:2002.08761
6 A Beauville, Complex algebraic surfaces, 34, Cambridge Univ. Press (1996) MR1406314
7 U Choudhury, Connectivity of motivic H–spaces, Algebr. Geom. Topol. 14 (2014) 37 MR3158752
8 U Görtz, T Wedhorn, Algebraic geometry, I : Schemes with examples and exercises, Vieweg and Teubner (2010) MR2675155
9 R L Graham, D E Knuth, O Patashnik, Concrete mathematics: a foundation for computer science, Addison-Wesley (1994) MR1397498
10 R Hartshorne, Algebraic geometry, 52, Springer (1977) MR0463157
11 J Kollár, Rational curves on algebraic varieties, 32, Springer (1996) MR1440180
12 F Morel, 𝔸1–algebraic topology over a field, 2052, Springer (2012) MR2934577
13 F Morel, V Voevodsky, 𝔸1–homotopy theory of schemes, Inst. Hautes Études Sci. Publ. Math. 90 (1999) 45 MR1813224
14 A Sawant, Naive vs genuine 𝔸1–connectedness, from: "K–theory" (editors V Srinivas, S K Roushon, R A Rao, A J Parameswaran, A Krishna), Hindustan (2018) 21 MR3930041