Nantilus
A1-algebraic topology over a field
This text deals with A -homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A -homotopy theory written togethe...
Saved in:
| Main Author : | |
|---|---|
| Format : | Book |
| Language : | anglais |
| Title statement : | A1-algebraic topology over a field / Fabien Morel |
| Published : |
Berlin, New York, Dordrecht [etc.] :
Springer
, cop. 2012 |
| Physical Description : | 1 vol. (X-259 p.) |
| Series : | Lecture notes in mathematics ; 2052 |
| Subjects : | |
| Related Items : | Additional physical form:
A1-algebraic topology over a field |
| LEADER | 02978cam a2200553 4500 | ||
|---|---|---|---|
| 001 | PPN163957401 | ||
| 003 | http://www.sudoc.fr/163957401 | ||
| 005 | 20210519055300.0 | ||
| 010 | |a 978-3-642-29513-3 |b br. | ||
| 010 | |a 3-642-29513-4 |b br. | ||
| 035 | |a (OCoLC)819292852 | ||
| 073 | 1 | |a 9783642295133 | |
| 100 | |a 20120911h20122012k y0frey0103 ba | ||
| 101 | 0 | |a eng | |
| 102 | |a DE |a US |a NL | ||
| 105 | |a y a 001yy | ||
| 106 | |a r | ||
| 181 | |6 z01 |c txt |2 rdacontent | ||
| 181 | 1 | |6 z01 |a i# |b xxxe## | |
| 182 | |6 z01 |c n |2 rdamedia | ||
| 182 | 1 | |6 z01 |a n | |
| 183 | 1 | |6 z01 |a nga |2 rdacarrier | |
| 200 | 1 | |a A1-algebraic topology over a field |f Fabien Morel | |
| 210 | |a Berlin |a New York |a Dordrecht [etc.] |c Springer |d cop. 2012 | ||
| 215 | |a 1 vol. (X-259 p.) |d 23 cm | ||
| 225 | 2 | |a Lecture notes in mathematics |x 0075-8434 |v 2052 | |
| 320 | |a Bibliogr. p. 255-258. Index | ||
| 330 | |a This text deals with A -homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A -homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A -homotopy sheaves, A -homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties | ||
| 359 | 2 | |b Unramified sheaves and strongly A -invariant sheaves |b Unramified Milnor-Witt K-theories |b Geometric versus canonical transfers |b The Rost-Schmid complex of a strongly A -invariant sheaf |b A -homotopy sheaves and A -homology sheaves |b A -coverings, pA 1 (Pn) and pA 1 (SLn) |b A -homotopy and algebraic vector bundles |b The affine B.G. property for the linear groups and the Grassmanian | |
| 410 | | | |0 03292996X |t Lecture notes in mathematics |x 0075-8434 |v 2052 | |
| 452 | | | |0 165104368 |t A1-algebraic topology over a field |f Fabien Morel |c Berlin, Heidelberg |n Springer Berlin Heidelberg |n Springer e-books |n Imprint: Springer |n Springer e-books |d 2012 |s Lecture notes in mathematics |y 978-3-642-29514-0 | |
| 606 | |3 PPN027720012 |a Topologie algébrique |2 rameau | ||
| 606 | |3 PPN027228002 |a Géométrie algébrique |2 rameau | ||
| 606 | |3 PPN027330419 |a Homotopie |2 rameau | ||
| 606 | |3 PPN031444709 |a Cohomologie |2 rameau | ||
| 680 | |a QA612 | ||
| 686 | |a 14-XX |c 2010 |2 msc | ||
| 686 | |a 19-XX |c 2010 |2 msc | ||
| 686 | |a 55-XX |c 2010 |2 msc | ||
| 700 | 1 | |3 PPN073355836 |a Morel |b Fabien |f 1965-.... |4 070 | |
| 801 | 3 | |a FR |b Abes |c 20180131 |g AFNOR | |
| 801 | 0 | |b BTCTA |g AACR2 | |
| 801 | 2 | |b UKMGB |g AACR2 | |
| 915 | |5 441092208:639537421 |b 21489 | ||
| 930 | |5 441092208:639537421 |b 441092208 |a LNM/2052 |j u | ||
| 979 | |a CCFA | ||
| 991 | |5 441092208:639537421 |a exemplaire créé automatiquement par l'ABES | ||
| 997 | |a CCFA |b 21489 |d CMB |e BAP |s d |c LNM/2052 | ||
| 998 | |a 849981 | ||