dc.contributor.author | Brzostowski, Szymon | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-13T09:47:13Z | |
dc.date.available | 2017-12-13T09:47:13Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Brzostowski Sz., Necessary conditions for irreducibility of algebroid plane curves, [in:] Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013, s. 33-40, doi: 10.18778/7969-017-6.03 | pl_PL |
dc.identifier.isbn | 978-83-7969-017-6 | |
dc.identifier.uri | http://hdl.handle.net/11089/23606 | |
dc.description.abstract | Let K be an algebraically closed field of characteristic 0 and let
ƒ ϵ K[[X]] [Y] be monic. Using the properties of approximate roots given in
[J. Algebra 343 (2011), pp. 143-159] we propose some necessary conditions
for irreducibility of ƒ in K[[X]] [Y]. The result is expressed only in terms of
intersection multiplicities of ƒ with its approximate roots. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
dc.relation.ispartof | Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013; | |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.title | Necessary conditions for irreducibility of algebroid plane curves | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by University of Łódź, Łódź 2013 | pl_PL |
dc.page.number | 33-40 | pl_PL |
dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Lódź ul. Banacha 22, 90-238 Łódź | pl_PL |
dc.references | Shreeram Shankar Abhyankar. "Lectures on expansion techniques in algebraic geometry", volume 57 of "Tata Institute of Fundamental Research Lectures on Mathematics and Physics". Tata Institute of Fundamental Research, Bombay (1977). Notes by Balwant Singh. | pl_PL |
dc.references | Shreeram Shankar Abhyankar. Irreducibility criterion for germs of analytic functions of two complex variables. Adv. Math. 74(2), 190{257 (1989). | pl_PL |
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dc.references | Shreeram Shankar Abhyankar and Tzuong Tsieng Moh. Newton-Puiseux expansion and generalized Tschirnhausen transformation. I, II. J. Reine Angew. Math. 260, 47-83 (1973); ibid. 261, 29-54 (1973). | pl_PL |
dc.references | Szymon Brzostowski. "Pierwiastki aproksymatywne wielomianów". PhD thesis, Faculty of Mathematics and Computer Science, University of Łódź (2008). (In Polish). | pl_PL |
dc.references | Szymon Brzostowski. Non-characteristic approximate roots of polynomials. J. Algebra 343, 143-159 (2011). | pl_PL |
dc.references | Antonio Campillo. "Algebroid curves in positive characteristic", volume 813 of "Lecture Notes in Mathematics". Springer, Berlin (1980). | pl_PL |
dc.references | Evelia Rosa Garcia Barroso and Janusz Gwoździewicz. Characterization of Jacobian Newton polygons of plane branches and new criteria of irreducibility. Ann. Inst. Fourier (Grenoble) 60(2), 683-709 (2010). | pl_PL |
dc.references | Evelia Rosa Garcia Barroso and Arkadiusz Płoski. Euclidean algorithm and polynomial equations after Labatie. (2013). This volume. | pl_PL |
dc.references | Arkadiusz Płoski. Introduction to the local theory of plane algebraic curves. (2013). This volume. | pl_PL |
dc.contributor.authorEmail | brzosts@math.uni.lodz.pl | pl_PL |
dc.identifier.doi | 10.18778/7969-017-6.03 | |