publication . Preprint . 2011

Multiplicity in difference geometry

Tomasic, Ivan;
Open Access English
  • Published: 04 Dec 2011
Abstract
We prove a first principle of preservation of multiplicity in difference geometry, paving the way for the development of a more general intersection theory. In particular, the fibres of a \sigma-finite morphism between difference curves are all of the same size, when counted with correct multiplicities.
Subjects
free text keywords: Mathematics - Algebraic Geometry, 03C60, 11G25 (Primary) 14G10, 14G15 (Secondary)
Download from

[1] Surinder Singh Bedi and Jai Ram. Jacobson radical of skew polynomial rings and skew group rings. Israel J. Math., 35(4):327-338, 1980.

[2] A. J. Berrick and M. E. Keating. An introduction to rings and modules with K-theory in view, volume 65 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 2000. [OpenAIRE]

[3] Richard M. Cohn. Difference algebra. Interscience Publishers John Wiley & Sons, New YorkLondon-Sydney, 1965.

[4] David Eisenbud. Commutative algebra, volume 150 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1995. With a view toward algebraic geometry.

[5] Robert M. Fossum. The divisor class group of a Krull domain. Springer-Verlag, New York, 1973. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 74.

[6] Ehud Hrushovski. The elementary theory of the Frobenius automorphism. Preprint, 2004. [OpenAIRE]

[7] Yves Laszlo. Notes informelles sur la g´eom´etrie aux diff´erences. Preprint, 2005.

[8] Hideyuki Matsumura. Commutative ring theory, volume 8 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, second edition, 1989. Translated from the Japanese by M. Reid.

[9] Mark Ryten and Ivan Tomaˇsi´c. ACFA and measurability. Selecta Math. (N.S.), 11(3-4):523- 537, 2005.

[10] Ivan Tomaˇsi´c. Twisted Galois Stratification. http://www.maths.qmul.ac.uk/~ivan/tgals.pdf.

[11] Ivan Tomaˇsi´c. Fields with measure and automorphism. Bull. Lond. Math. Soc., 41(3):429- 440, 2009. Ivan Tomaˇsic´, School of Mathematical Sciences, Queen Mary University of London, London, E1 4NS, United Kingdom E-mail address: i.tomasic@qmul.ac.uk

Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue